Pith. sign in

Paper Citation Record · LEDGER

A Nonstabilizerness Resource Law for Universal Quantum State Purification

As of 15 August 2026, this Paper Citation Record lists 76 of 76 outbound references and 0 inbound Pith citation observations for arXiv:2607.08626.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.08626 v1

Coverage vector

measured 76 of 76 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T04:40:01.796681Z

measured 76 of 76 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

76 of 76 outbound references displayed

  • verified exact11
  • verified fuzzy48
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 13c9b4c2-115f-426d-9e56-b14eef09e78f · outbound

This paper cites Barenco, A.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Barenco, A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.391884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:2f780dc133cc0977b955336bd232d1d9bc0ba81e50199120aa0bd6853f0f776f

Observation 3e3dcbbf-3148-4f26-9248-f9cd4ab06f9c · outbound

This paper cites an unresolved cited work.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:26:49.389802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:a9c955dabaa149317eeae0fcc86b93b5c60fd6adff5bd1570d0b513a25c045c6

Observation 0b99697a-0033-40bf-b960-0a8e58238474 · outbound

This paper cites Keyl and R.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Keyl and R

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.387929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:0676fc1960707d912c9cfc9bef1f097f0ac1140615d8386fd53c557844e2a6f3

Observation 41b218d8-716a-4212-b368-0203cd0b1a6b · outbound

This paper cites Fiurášek, Optimal probabilistic cloning and purifica- tion of quantum states, Physical Review A—Atomic, Molecular, and Optical Physics70, 032308 (2004).

A Nonstabilizerness Resource Law for Universal Quantum State Purification Fiurášek, Optimal probabilistic cloning and purifica- tion of quantum states, Physical Review A—Atomic, Molecular, and Optical Physics70, 032308 (2004)

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.385809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:ad00dfbe0b380ff4840ad2fa6243ec6c509b893bfd55020b3aa7c7172fd869f2

Observation 34fc1741-5344-4b3a-bafe-564064a2ee3a · outbound

This paper cites Fu,Quantum state purification, Master’s thesis, Uni- versity of Waterloo (2016).

A Nonstabilizerness Resource Law for Universal Quantum State Purification Fu,Quantum state purification, Master’s thesis, Uni- versity of Waterloo (2016)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.383127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:7aaba724277fd58482cac763502f34164cabdd21d6e3ec2eda9246cf8d82d870

Observation 1be0c7ce-4b9c-4876-b2a6-d4c15641fab1 · outbound

This paper cites Yao, Y .-A.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Yao, Y .-A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.263444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:564783d605e83d1b52dbcbe861ed83764d0b5e73f4f70756a8cff684f0be02da

Observation 88b8ad0c-0b44-49f1-80f0-4ddf98c0768c · outbound

This paper cites Li , author H.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Li , author H

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-07-10T04:46:46.586278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:e48bd1e84560bffd519bc343b43369fb7125ca5ad6e32b6e31876eb8930d2f58

Observation 52f1eada-16c1-4d5c-979f-3df60c6fcf87 · outbound

This paper cites Quantum Purity Amplification for Arbitrary Eigenstates and Multiple Outputs.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Quantum Purity Amplification for Arbitrary Eigenstates and Multiple Outputs

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:46:46.588960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:06291c04b7a1ff263a77e0446242a2a6545d70a7685fcc45f240fb5399cf2c16

Observation 87a25758-60b8-4815-a049-481246a356a8 · outbound

This paper cites an unresolved cited work.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:26:49.380205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:88edba47939013d9946e9903aa56993a9359bf414fca5c66f760effc2423d2bf

Observation f64488f3-32f9-4cf0-ad14-44c7b54ef9e1 · outbound

This paper cites an unresolved cited work.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:26:49.394119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:d505470a6bb5da9c5f6acb32af15f99e6083a60cd99df0be46df0a4f8eda3e48

Observation b54737b9-87e2-446d-b1e4-97fc2373bd1f · outbound

This paper cites Deutsch, A.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Deutsch, A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.375846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:a7242fc012df17b48afd45c46d6945810feaddbcd8614986df1228c148fe50f4

Observation 7c59c3c8-27ea-4aaf-9ddb-4b9f22a7aa38 · outbound

This paper cites Dür and H.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Dür and H

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.371175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:b0b77b7ae55cd63f5fe9e3a0c06ac21e59ad1ab7a630454b2538f897e8e6e008

Observation be84c3a9-ce9e-429b-8e8f-e68639c148c7 · outbound

This paper cites Horodecki, P.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Horodecki, P

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.396224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:057ed0f433ce98025c9358982a62e161389044274f327f63c17b5984ddce4ef2

Observation 041ff72f-70d8-4c4a-84d5-3489f7dee9fb · outbound

This paper cites Zhao, Y .-A.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Zhao, Y .-A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.367615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:8186078df799cbbe7162eb9e78ca799b0522e53f23e78b4dd59384bd2a5578ab

Observation 531ac5f9-18a5-422b-8df1-313e68e7c8ca · outbound

This paper cites Gottesman,Stabilizer codes and quantum error cor- rection(California Institute of Technology, 1997).

A Nonstabilizerness Resource Law for Universal Quantum State Purification Gottesman,Stabilizer codes and quantum error cor- rection(California Institute of Technology, 1997)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.365450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:bfe02526cdd18a83f1858f61cce73b60d732ed7317d49ec801f4cbe2b965f128

Observation d5701511-5dfd-4cff-874b-4ce9d78da24b · outbound

This paper cites Gottesman and I.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Gottesman and I

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.361972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:ba3fe8b21770be9b0b424fab48f6f3c44d7a36404f4ed1bd8cff266c3f1ca390

Observation fb2c8616-c4ff-4e66-9232-2e6edc54b383 · outbound

This paper cites an unresolved cited work.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:26:49.398593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:acef2d3fc8df6229ce3ffb9c906c880028f6b7dde24a8f927b5f500d3a92a746

Observation 74baacb6-25de-44b8-9f65-5f9ba12c2d76 · outbound

This paper cites Bravyi and A.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Bravyi and A

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.360243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:16371fd44757c0a85424476504ed0f9366ced44cee7678d434a28cc33031f4dc

Observation d838ca8d-39cb-4bdb-a4f5-44aa5bb4ec2e · outbound

This paper cites Bravyi and D.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Bravyi and D

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.358414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:56573bbbdd760726f1a5a94f931bdc004f6be2fcc29a041271c79e72d0080001

Observation 94955141-bf1a-4ffc-b00f-554cbdafecd2 · outbound

This paper cites Qassim, H.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Qassim, H

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.356541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:ffe79ba72a4d803c6a98fb5e607e7533d2682e66ffa5940a93cdd2a335e478c3

Observation 4732fb0b-bea9-4ea6-b855-d48bee5afb0b · outbound

This paper cites an unresolved cited work.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:26:49.354777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:2566714c11c48ba25453397938bdb84f1fe5fb679ccf135bff8e45ed44bfd149

Observation ff9b6d9e-22f5-4bac-83ee-463e9fa5210c · outbound

This paper cites Sales Rodriguez, J.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Sales Rodriguez, J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.353284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:ff550a1b7d823d0e7315d894489457665f156085ea413ba3493d9ab135d9dc5c

Observation 97e07f4c-9aa4-4cf9-ae68-c73b70f94bae · outbound

This paper cites Magic state cultivation on a superconducting quantum processor.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Magic state cultivation on a superconducting quantum processor

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-07-10T04:46:46.580837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:5ce4f0aab62122c0ac69f3af18657bd22df163cabddaae6d5e3ddb4b69406ffb

Observation 988e8c8b-7c4c-4a3e-bffe-c7e11ef43d88 · outbound

This paper cites Bluvstein, A.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Bluvstein, A

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.350541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:45dc06a7f711cca0de1f092494dc6f208f3a118e9f5a6e1fdb4dc915cbc57d67

Observation fcf6be07-2010-4b3f-a9d9-8a6b361dbbd2 · outbound

This paper cites an unresolved cited work.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:26:49.348713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:dff6dc0afb914932bb6e826aa88d8ebfadc5077bfe35fa3aa590160557849bc0

Observation 2fce241b-c741-45f3-b977-ad7e2de9573b · outbound

This paper cites an unresolved cited work.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:26:49.400926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:f542ef93d25729613b09ca91e141214896cfd6c3a51967f0eb7a59d2d88ac555

Observation 5d86ecae-d927-46ee-ab57-0ab81defebc0 · outbound

This paper cites Howard and E.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Howard and E

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.347089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:098d2acf76fd026df149a13753f83b266f00d1bba51744fccb77db54445c7fb3

Observation f46b5c72-9d26-4fa9-ae93-8f922ee08703 · outbound

This paper cites Veitch, S.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Veitch, S

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.344090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:ab7a06ecdf1bb31518b4bae25ad2a9c705c7322b694b89d76d257c6d3b3c4b6d

Observation 3a674f44-f14d-411b-9d7d-ff12cc15cf2f · outbound

This paper cites an unresolved cited work.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:26:49.342245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:a3c08d142c52573564695ed338c49bf2da752b7b05957e66d7511c28b0f107f0

Observation f1fd405c-5e23-4b85-a2a8-b137fdcdc22d · outbound

This paper cites an unresolved cited work.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:26:49.269603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:16c3db8461fe7b5ddd8b311ae73c0016755b28708047113a81821c25ffeb9b0c

Observation f6ba45bf-a67c-4a31-9131-bf7b9d48c980 · outbound

This paper cites an unresolved cited work.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:26:49.340420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:53e5f0c720f6b4f7e34fb8635e80d09b2dcd09f9376898a1037e269fb0df2cf3

Observation ce850a84-aa4b-4535-a659-b358db51c813 · outbound

This paper cites Gross, Hudson’s theorem for finite-dimensional quantum systems, Journal of mathematical physics47 (2006).

A Nonstabilizerness Resource Law for Universal Quantum State Purification Gross, Hudson’s theorem for finite-dimensional quantum systems, Journal of mathematical physics47 (2006)

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.338777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:60d7e9b1049931f6fee64295504f312b3cfdcea395f111b9718ed14a2bc79fff

Observation 6c4f862a-1271-4982-ae73-882fec0e35ed · outbound

This paper cites Delfosse, P.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Delfosse, P

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.336919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:932348f86b323c3b951b0aa76870f866726c4cb1a9999db725c2b9c96a558633

Observation dd3b575d-a41e-431b-8298-f79737e5f529 · outbound

This paper cites Raussendorf, D.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Raussendorf, D

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.261376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:c92c93598f001fcd16770207372a1b6eebf52cac91a93ab82142b9223f11e444

Observation 73ccdd12-a313-4469-97f7-bebd47d8f96d · outbound

This paper cites Raussendorf, J.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Raussendorf, J

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.334645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:fb7c010a3247ee4d398ed29d9a10b08fec0047c749329bb7891752fa7f3f3746

Observation 9e1284aa-6f99-4e3c-9a3d-fee40effcb4a · outbound

This paper cites Vidal, Entanglement monotones, Journal of Modern Optics47, 355 (2000).

A Nonstabilizerness Resource Law for Universal Quantum State Purification Vidal, Entanglement monotones, Journal of Modern Optics47, 355 (2000)

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.333014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:788f1de3596c66a7b83ce452b3aa206a15a39dbb045ae3dba816ab0c8ef6b53f

Observation ac2a7458-1eb9-4509-a1b7-cc3fa55f5310 · outbound

This paper cites Regula, Probabilistic transformations of quantum re- sources, Physical Review Letters128, 110505 (2022).

A Nonstabilizerness Resource Law for Universal Quantum State Purification Regula, Probabilistic transformations of quantum re- sources, Physical Review Letters128, 110505 (2022)

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.331306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:ae36e2b19edbad8bcc0189ce21f6d141fb05593427468ade6a11e99a3264bfa2

Observation 3aba61f1-0a25-4685-b1f2-5a3715c806eb · outbound

This paper cites Probabilistic distillation of quantum coherence.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Probabilistic distillation of quantum coherence

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:46:46.575529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:589592fe787f8fdd0ed77e9d8f999868950a2659d7f5f9fe7b4a640070333ad1

Observation 73dec797-5a82-4a49-963b-941baa71c7b4 · outbound

This paper cites Takagi and B.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Takagi and B

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.329136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:bf11af30bde2ed417ef4699e57cf835ba47fdf87622ab49448da061d131dfd98

Observation 9500fdc3-af6b-4ce8-8225-01bbb6e36dce · outbound

This paper cites Bravyi, D.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Bravyi, D

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.327171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:83bc0bb1608f6e8dbfe34606c3beb8416eb9a42f6a6d1959f702e80abf4a1a29

Observation ef75c709-2df0-45c6-86e1-960bde09ab2d · outbound

This paper cites an unresolved cited work.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:26:49.325205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:02356bc517d1dbcf0852ee8772ae0a023d8d178cf18e492436829c65d4218d1a

Observation d4a73229-7503-4b03-8b90-05b1f329c8a7 · outbound

This paper cites Nezami and M.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Nezami and M

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.323423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:519e91ca779f31d2ec01c1e9b10899e2af619f49cd0dee17927db3ba035f0ef3

Observation 451bff2e-dc85-462a-8081-d4f2ae284c7c · outbound

This paper cites Zhu, Multiqubit clifford groups are unitary 3- designs, Physical Review A96, 062336 (2017).

A Nonstabilizerness Resource Law for Universal Quantum State Purification Zhu, Multiqubit clifford groups are unitary 3- designs, Physical Review A96, 062336 (2017)

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.265665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:a7088861980de2823e05c92a7b5661e36e7c459e576f4b2154d87045e52c8a82

Observation 27450d7f-33df-4cfe-9e08-d01db02adc55 · outbound

This paper cites Gross, S.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Gross, S

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.321641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:878f55980939654ccdbbddce599c9020be7857d73230e9a6a0558f1696f1780b

Observation cc48b480-37ff-4c4f-b9c0-9426f0cb3b92 · outbound

This paper cites A complete theory of the Clifford commutant.

A Nonstabilizerness Resource Law for Universal Quantum State Purification A complete theory of the Clifford commutant

Reference 45

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:46:46.572779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:ae0af8e640aef2815ddec341f9eda7aaf31c84aad094be034d47090bcd9f2723

Observation 7ce5dcb2-abfd-4b6d-a88e-7559f6a149ef · outbound

This paper cites an unresolved cited work.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:26:49.319799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:f82e2cdf8ecdaaee338a5002a261ed6d5800cfee330600918b42ffda8a4d7fc1

Observation 2d60d15e-1bba-4633-9025-4607a80d6e58 · outbound

This paper cites Bu and A.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Bu and A

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.317910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:601b0d7fd5b8cde3cbcf3f7ca26ccb2a4c9a8901b31ddb7cc51bdac3d9316efb

Observation 9d57d391-f1ec-4529-aa8a-65d4acd2bfa1 · outbound

This paper cites an unresolved cited work.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:26:49.267640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:96feedf9ece77a1183fe158d529ceca2ef3a1970ab3ffebf8cf4e9f8054cb27c

Observation 2aebd2dc-7711-467e-be53-d63876c8994f · outbound

This paper cites Kwon, Nonstabilizerness without Magic: Classically Simulatable Quantum States That Are Indistinguish- ablebyClassicallySimulatableQuantumCircuits(2025), arXiv:2509.25790 [quant-ph].

A Nonstabilizerness Resource Law for Universal Quantum State Purification Kwon, Nonstabilizerness without Magic: Classically Simulatable Quantum States That Are Indistinguish- ablebyClassicallySimulatableQuantumCircuits(2025), arXiv:2509.25790 [quant-ph]

Reference 49

Resolution
verified exact
arxiv_id, observed 2026-07-10T04:46:46.589117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:134706afba08abebd4d140eb60a89f271f65d6db6bab114ed8b2bc84267e991e

Observation 8289ca71-8b0d-4d82-95a8-8ab52873d301 · outbound

This paper cites Invariant Measures and Weak-Magic-Injection Asymptotics in Random Monitored Quantum Circuits.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Invariant Measures and Weak-Magic-Injection Asymptotics in Random Monitored Quantum Circuits

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:46:46.566678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:6cecdc92fba06a2a812c1d80b64b28af6a5db700901b8294b7c9b192d15eeea9

Observation e8b50798-4e4e-431e-8b0c-bb7edda5e24b · outbound

This paper cites Hernández-Yanes, P.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Hernández-Yanes, P

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.301098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:4134e48dc678948240d6d6dbe7a84c801fddf3e45938d673e1313837f38a1f70

Observation 75948f0e-ef93-46db-8b3e-cc89f416a1b8 · outbound

This paper cites The true cost of factoring: Linking magic and number-theoretic complexity in Shor's algorithm.

A Nonstabilizerness Resource Law for Universal Quantum State Purification The true cost of factoring: Linking magic and number-theoretic complexity in Shor's algorithm

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:46:46.583725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:20c82cf7c7e79a4b866824facedabc79779c9af207f83ca5c551a3398cf3e1e3

Observation 8c9f03f0-8aee-4bcf-894a-913b4e4445e0 · outbound

This paper cites Choi, Completely positive linear maps on com- plex matrices, Linear algebra and its applications10, 285 (1975).

A Nonstabilizerness Resource Law for Universal Quantum State Purification Choi, Completely positive linear maps on com- plex matrices, Linear algebra and its applications10, 285 (1975)

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.299135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:356cbd35e2e554b4e3cab7571287da896227113131b938b97f7d94077231b8d7

Observation 11567fee-e942-4eed-bff0-23d9027e2ae6 · outbound

This paper cites Jamiołkowski, Linear transformations which pre- serve trace and positive semidefiniteness of operators, Reports on mathematical physics3, 275 (1972).

A Nonstabilizerness Resource Law for Universal Quantum State Purification Jamiołkowski, Linear transformations which pre- serve trace and positive semidefiniteness of operators, Reports on mathematical physics3, 275 (1972)

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.296976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:b6ddf69af8f3c8a625deaacebe9090a0c60b28e1dba27738388c19f3ffa77ed3

Observation f832115f-6085-498c-994f-900a2f40aa76 · outbound

This paper cites Mari and J.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Mari and J

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.277696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:2087373f70342dad3d669519951d338f651b893267ba6af204fa31a5c9386044

Observation 82681477-9ab4-4917-927a-6af6279ed56e · outbound

This paper cites Bartlett, Terry Rudolph, and Robert W.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Bartlett, Terry Rudolph, and Robert W

Reference 56

Resolution
verified exact
doi, observed 2026-07-10T04:46:45.924930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:0fc1e2464f87171d2ae334008bda2d81a7d695092c2fba66f6fe769822809ef7

Observation 05309ab1-f523-481b-be33-0dc73ae647da · outbound

This paper cites Eggeling and R.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Eggeling and R

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.294385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:ba4b06c8783820cfa81dabc8f56b57329dedfd7cdb507e25af7027c2b0dc4068

Observation ccb52e9d-3219-432e-aab9-184fa96c3ccd · outbound

This paper cites The Church of the Symmetric Subspace.

A Nonstabilizerness Resource Law for Universal Quantum State Purification The Church of the Symmetric Subspace

Reference 58

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:46:46.578028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:83c0092ce70465f2920ce1d28bbe7695a63b1a6c9cbb3c279879ad5f93e72a2f

Observation 091d7c57-43d9-46b0-9aa4-c9e823d7d6ec · outbound

This paper cites Principles of Quantum Communication Theory: A Modern Approach.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Principles of Quantum Communication Theory: A Modern Approach

Reference 59

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:46:46.563574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:07a8655c988aa00219c6f264c1173e981a8ebd60d56422da2d1a15fdcc6cd5f2

Observation 8283b950-1fb9-44cd-8fc7-4fd5f90b682e · outbound

This paper cites an unresolved cited work.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:26:49.292001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:00451876ed1b5f0a34473a471b2eb31fd90b8a85196c2e8f022c40a2745cf1bc

Observation 71e6c050-3de1-48b5-936f-0727303ad953 · outbound

This paper cites A Nonstabilizerness Resource Law for Universal Quantum State Purification.

A Nonstabilizerness Resource Law for Universal Quantum State Purification A Nonstabilizerness Resource Law for Universal Quantum State Purification

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.290139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:9c8ef826c2079139f7b09551d1730fcec8bf1569e64c03496b78878d3ed8860a

Observation fd857e72-e918-4eb8-965a-48a5e0ecc02a · outbound

This paper cites For prime dimensiond, the unitary boost and shift operatorsX, Z∈ L(H)are defined by X|j⟩=|j⊕1⟩, Z|j⟩=ω j|j⟩,(S1) whereω=e 2πi/d and⊕denotes addition modulod.

A Nonstabilizerness Resource Law for Universal Quantum State Purification For prime dimensiond, the unitary boost and shift operatorsX, Z∈ L(H)are defined by X|j⟩=|j⊕1⟩, Z|j⟩=ω j|j⟩,(S1) whereω=e 2πi/d and⊕denotes addition modulod

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.287919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:793e03466b69dc6c41465ac3f2ce0a55ae6ff532c88abb8d54ef5f24bb608c3c

Observation 16b95b1a-e297-4902-85a3-172ecafce3ac · outbound

This paper cites an unresolved cited work.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:26:49.285805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:6840d21e61d1b9383d02fabc2866c9b5ad0a3ae392e88725fda4c19bbcc66a66

Observation b0b95569-1ee4-4162-a04b-5f4e0619bcd7 · outbound

This paper cites A Hermitian operatorHhas non-negative discrete Wigner functions if∀u, W H(u)≥0.

A Nonstabilizerness Resource Law for Universal Quantum State Purification A Hermitian operatorHhas non-negative discrete Wigner functions if∀u, W H(u)≥0

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.303321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:936055f7b42b2414f200046d45b140c40af1e20e92a275e2d788afca901289c5

Observation 100f484b-201b-4c17-a50e-a6f3d67cd5ac · outbound

This paper cites In particular, one has to either exclude some Clifford operations from the set of free operations [33, 34], or lose compatibility with tensor products [35].

A Nonstabilizerness Resource Law for Universal Quantum State Purification In particular, one has to either exclude some Clifford operations from the set of free operations [33, 34], or lose compatibility with tensor products [35]

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.305370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:20aed7845615ee63201f47cd2288f39639a7eb5f9945f44bc8a6103f137b5bb0

Observation 778aa3c6-81a5-4e81-9651-e7db8abcf40a · outbound

This paper cites Here we use the partially transposed permutation algebra, which gives a finite-dimensional representation of the walled Brauer algebra.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Here we use the partially transposed permutation algebra, which gives a finite-dimensional representation of the walled Brauer algebra

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.275845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:9028289841eecc4ed6b5cdf01ce7a9b23f24bfed43a6c4c3c155e9e47b840cd8

Observation c0000172-7841-4020-a981-673ab81ab194 · outbound

This paper cites an unresolved cited work.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Unresolved cited work

Reference 67

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:26:49.307719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:7d69364154972396c13cdf5188ca2f772e6bb2eff0bc18de90929b591edaa2db

Observation 9a532ca1-f82b-4fbb-8a0f-05f28fc7c016 · outbound

This paper cites This completes the verification of dual feasibility.

A Nonstabilizerness Resource Law for Universal Quantum State Purification This completes the verification of dual feasibility

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.271677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:439f306bb782405b684e6fcd41ca087dc946ec11a87426617e3dfd0fd7f759fd

Observation cc7ad146-7b3d-48f9-960a-c1a90293a5ad · outbound

This paper cites Hence these are stabilizer states, Clifford equivalent to a one-qubit Bell state tensored with computational basis states.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Hence these are stabilizer states, Clifford equivalent to a one-qubit Bell state tensored with computational basis states

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.309935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:19a700f0c0cafecc1bb93e0085675ade465358b844c82a87d51e82e95028c8a7

Observation e3356e6f-ab52-44f3-8e83-29966a050ab1 · outbound

This paper cites The same argument as in the first case shows that these are stabilizer states.

A Nonstabilizerness Resource Law for Universal Quantum State Purification The same argument as in the first case shows that these are stabilizer states

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.273769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:55714f74b206fc24a2d147c75fc2ed3f150abb0e7837fd7eae00cd1194b45946

Observation 01ac1096-c737-41ec-b2aa-25af964f874f · outbound

This paper cites Hence |χ± x,y⟩= |x⟩ ∓ |y⟩√ 2 .(S24) It is less clear to observe that they are stabilizer states.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Hence |χ± x,y⟩= |x⟩ ∓ |y⟩√ 2 .(S24) It is less clear to observe that they are stabilizer states

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.312154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:dd09500576e341275c9f66649081b840c95152a57bdb1da53759f2bcc2046c58

Observation fc41a606-d69f-4f02-b652-77e22c3a3bd7 · outbound

This paper cites The estimates above give x12 ≤1, x 23 ≤1, x 13 ≤1,Re(x 123)≤1.(S78) Therefore −2 + (d−1)x 12 +x 23 +x 13 + 2 Re(x123)≤ −2 + (d−1) + 1 + 1 + 2 =d+ 1.

A Nonstabilizerness Resource Law for Universal Quantum State Purification The estimates above give x12 ≤1, x 23 ≤1, x 13 ≤1,Re(x 123)≤1.(S78) Therefore −2 + (d−1)x 12 +x 23 +x 13 + 2 Re(x123)≤ −2 + (d−1) + 1 + 1 + 2 =d+ 1

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.283605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:cd923a881f4c5b7d0c9043ecda130d6141f53ac7050527bd53d9a88874d97194

Observation 4954efce-4f4a-4359-bd9b-173a2d0ebcdf · outbound

This paper cites an unresolved cited work.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Unresolved cited work

Reference 73

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:26:49.279540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:a6707ba1f83df1136569c33fa997e3ccd2fac48be32dcf9e722101981311ac6e

Observation 45166da5-c203-4ea7-8c75-1535d937d1dd · outbound

This paper cites This case is symmetric to Case 2 ofm 23 ≥m 12 ≥m 13, withm 13 andm 23 interchanged, and thusx 13 andx 23 interchanged.

A Nonstabilizerness Resource Law for Universal Quantum State Purification This case is symmetric to Case 2 ofm 23 ≥m 12 ≥m 13, withm 13 andm 23 interchanged, and thusx 13 andx 23 interchanged

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.314044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:2d170c0e998440cdc082a43971fdcd00f2a47630181fe741d31b4a8f0513ce95

Observation 82ae8d6e-401d-43d0-945c-b1b2ac67e0cd · outbound

This paper cites Then x12 ≤2 m12−m23 ≤2 m13−m23 , x 23 ≤2 m23−m13 , x 13 ≤2 m13−m23 ,Re(x 123)≤1.(S86) We denoter= 2 m23−m13, then1≤r≤d.

A Nonstabilizerness Resource Law for Universal Quantum State Purification Then x12 ≤2 m12−m23 ≤2 m13−m23 , x 23 ≤2 m23−m13 , x 13 ≤2 m13−m23 ,Re(x 123)≤1.(S86) We denoter= 2 m23−m13, then1≤r≤d

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.316046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:5cb8e1585bcb3533bfca1fa12b7be5292cc61cbe5b48fc6d95edc6e77a57955a

Observation 940a6808-a590-4560-9d65-11164b9b7782 · outbound

This paper cites 1 + d2 +d(−2(δ−2)δ−3) + 2(δ−2)δ+ 4 (d(δ+f−1)−δ) 2(d−1)(δ−1)δ(d(δ−1)−δ) # +c +s+ +c −s− =p.

A Nonstabilizerness Resource Law for Universal Quantum State Purification 1 + d2 +d(−2(δ−2)δ−3) + 2(δ−2)δ+ 4 (d(δ+f−1)−δ) 2(d−1)(δ−1)δ(d(δ−1)−δ) # +c +s+ +c −s− =p

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:26:49.281625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:3e4cc9a94cdda946a9f1fd57caacf7b01e264a83b3199eaf732fd8f9579edf86

Pith citing papers

No inbound Pith citation observations are available.