Paper Citation Record · LEDGER

Exponential speedups in fault-tolerant processing of quantum experiments

As of 4 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2605.02057.

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

pith.paper-citation-record.v1
2605.02057 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-08T19:24:29.678352Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T09:24:18.764698Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

verified exact20
verified fuzzy13
unresolved2
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a84eea51-9f96-4e74-940e-96b9c6f21c18 · outbound

This paper cites d2 1 T−1X τ=0 ηd1+min(τ,∆) x +d 1 ∆X u=1 T−1X τ=0 ηd1+min(u+τ,∆) x + ∆X x=1 (d1 +x) T−1X τ=0 ηd1+min(x+τ,∆) x + ∆X x=1 ∆X y=x+1 T−1X τ=0 ηd1+min(y+τ,∆) x # , = 1 1−η x.

Exponential speedups in fault-tolerant processing of quantum experiments d2 1 T−1X τ=0 ηd1+min(τ,∆) x +d 1 ∆X u=1 T−1X τ=0 ηd1+min(u+τ,∆) x + ∆X x=1 (d1 +x) T−1X τ=0 ηd1+min(x+τ,∆) x + ∆X x=1 ∆X y=x+1 T−1X τ=0 ηd1+min(y+τ,∆) x # , = 1 1−η x

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T02:57:19.581352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 9e84f8a1-163a-43c0-95fb-ff627c4823e7 · outbound

This paper cites Here, our focus is different: we argue that even given three-copy measurements, any strategy faces an exponential sample complexity lower bound in the presence of noise.

Exponential speedups in fault-tolerant processing of quantum experiments Here, our focus is different: we argue that even given three-copy measurements, any strategy faces an exponential sample complexity lower bound in the presence of noise

Reference 2

Resolution: malformed identifier; raw_fallback, observed 2026-05-26T02:57:19.576768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 696e8f15-85a2-49a8-88e0-1fec87f5ffab · outbound

This paper cites To do so, we explicitly compute traces of products of the previously defined operators.

Exponential speedups in fault-tolerant processing of quantum experiments To do so, we explicitly compute traces of products of the previously defined operators

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T02:57:19.585761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 782ead3d-5673-4bb1-a2df-c3f3283391d9 · outbound

This paper cites Here we demonstrate that such a lower bound can also be established for more general observable-estimation tasks of the formtr Oρ3.

Exponential speedups in fault-tolerant processing of quantum experiments Here we demonstrate that such a lower bound can also be established for more general observable-estimation tasks of the formtr Oρ3

Reference 4

Resolution: malformed identifier; raw_fallback, observed 2026-05-26T02:57:19.595099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation ff193af4-68e0-4e01-a024-18dae04c568f · outbound

This paper cites an unresolved cited work.

Exponential speedups in fault-tolerant processing of quantum experiments Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-05-26T02:57:19.575167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 1474286d-dba9-49d5-9470-940ba474bc2e · outbound

This paper cites Theorem 12.LetN inj denote the sample complexity of the three-copy cycle test performed on injected copies ofρ subject to depolarizing noise of strengthλ′.

Exponential speedups in fault-tolerant processing of quantum experiments Theorem 12.LetN inj denote the sample complexity of the three-copy cycle test performed on injected copies ofρ subject to depolarizing noise of strengthλ′

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T02:57:19.558473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation fb630dc2-0775-466b-b33f-c9438eb93680 · outbound

This paper cites informative.

Exponential speedups in fault-tolerant processing of quantum experiments informative

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T02:57:19.562334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 872863b4-989c-4f40-bd19-5a12786d2449 · outbound

This paper cites Lemma 20.LetP k be a Pauli operator supported onkcontiguous qubits.

Exponential speedups in fault-tolerant processing of quantum experiments Lemma 20.LetP k be a Pauli operator supported onkcontiguous qubits

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T02:57:19.566372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation cc0a007f-c24d-4147-9c2b-33c519f290f8 · outbound

This paper cites Dennis, A.

Exponential speedups in fault-tolerant processing of quantum experiments Dennis, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T02:57:19.590368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation e1d71d1c-b66d-430a-a11a-8357e02f0de7 · outbound

This paper cites Bombin and M.

Exponential speedups in fault-tolerant processing of quantum experiments Bombin and M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T02:57:19.525687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 05fdcdc9-2cd5-4a0e-af82-6bd19ccae49a · outbound

This paper cites Horsman, A.

Exponential speedups in fault-tolerant processing of quantum experiments Horsman, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T02:57:19.532846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 52596721-eca9-411e-be03-90d70ac3c269 · outbound

This paper cites High -threshold universal quantum computation on the surface code, Physical Review A 80 (2009) 052312, https://doi.org/10.1103/PhysRevA.80.052312.

Exponential speedups in fault-tolerant processing of quantum experiments High -threshold universal quantum computation on the surface code, Physical Review A 80 (2009) 052312, https://doi.org/10.1103/PhysRevA.80.052312

Reference 12

Resolution: verified exact; doi, observed 2026-05-08T19:29:05.412472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 2532b25c-1894-4ea6-a2af-b5e8e244943d · outbound

This paper cites Fowler, Matteo Mariantoni, John M.

Exponential speedups in fault-tolerant processing of quantum experiments Fowler, Matteo Mariantoni, John M

Reference 13

Resolution: verified exact; doi, observed 2026-05-08T19:29:05.416643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation dc38a05d-8633-4d87-92a5-2a3245e84632 · outbound

This paper cites Łodyga, P.

Exponential speedups in fault-tolerant processing of quantum experiments Łodyga, P

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T02:57:19.550840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 0e8fbe4e-d701-46a9-bacc-ca21759ab356 · outbound

This paper cites Li, New Journal of Physics17, 023037 (2015).

Exponential speedups in fault-tolerant processing of quantum experiments Li, New Journal of Physics17, 023037 (2015)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T02:57:19.542035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation a5ad239e-7d2e-4533-abe8-7e0d383afc75 · outbound

This paper cites Christandl, O.

Exponential speedups in fault-tolerant processing of quantum experiments Christandl, O

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-08T19:29:05.385929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation fdb0cde0-6082-414c-a5cc-839b91120e68 · outbound

This paper cites Composable Quantum Fault-Tolerance.

Exponential speedups in fault-tolerant processing of quantum experiments Composable Quantum Fault-Tolerance

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-05-08T19:29:05.394715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation c1a6fd26-7cca-4258-8c9d-dea6ae7cfcc3 · outbound

This paper cites Huang, G.

Exponential speedups in fault-tolerant processing of quantum experiments Huang, G

Reference 18

Resolution: verified exact; doi, observed 2026-05-08T19:29:05.408543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 5e859a4a-a38b-4326-874d-eb5082c80a2b · outbound

This paper cites Khabiboulline, J.

Exponential speedups in fault-tolerant processing of quantum experiments Khabiboulline, J

Reference 19

Resolution: verified exact; doi, observed 2026-05-08T19:29:05.380779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 2e18093c-4dbf-42c3-8bf7-7d749ed117bb · outbound

This paper cites Mokeev, B.

Exponential speedups in fault-tolerant processing of quantum experiments Mokeev, B

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-09T05:55:29.733070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 2c6ba055-c02c-49ba-93d6-8c872ead1aac · outbound

This paper cites Unden, P.

Exponential speedups in fault-tolerant processing of quantum experiments Unden, P

Reference 21

Resolution: verified exact; doi, observed 2026-05-08T19:29:05.389567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation dadcba42-99d7-4d74-ab10-131a0e15d425 · outbound

This paper cites an unresolved cited work.

Exponential speedups in fault-tolerant processing of quantum experiments Unresolved cited work

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-05-09T05:55:29.753877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d5b3472b-a39d-4572-a529-931123305c65 · outbound

This paper cites Encoded Quantum Signal Processing for Heisenberg-Limited Metrology.arXiv preprint.

Exponential speedups in fault-tolerant processing of quantum experiments Encoded Quantum Signal Processing for Heisenberg-Limited Metrology.arXiv preprint

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-09T05:55:29.737562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 6b7c4df6-ea70-452c-98cd-8dcd2956d2a0 · outbound

This paper cites and Danielson D.

Exponential speedups in fault-tolerant processing of quantum experiments and Danielson D

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-09T05:55:29.762638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 554c28bd-cfbe-4dd6-887e-c4d9a433ecec · outbound

This paper cites Cotler, W.

Exponential speedups in fault-tolerant processing of quantum experiments Cotler, W

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-05-09T05:55:29.748171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 9c32bf39-3094-4d06-8525-764bd1ec8f7d · outbound

This paper cites an unresolved cited work.

Exponential speedups in fault-tolerant processing of quantum experiments Unresolved cited work

Reference 26

Resolution: verified exact; doi, observed 2026-05-08T19:29:05.370946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 42fa1553-6425-4fc5-83e6-ee4b62e12da2 · outbound

This paper cites Ansatz-free learning of lindbladian dynamics in situ.

Exponential speedups in fault-tolerant processing of quantum experiments Ansatz-free learning of lindbladian dynamics in situ

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-09T05:55:29.768118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation db8526ea-4d2c-447c-b742-a1d7f3ae6b3b · outbound

This paper cites Exponential separations between learning with and without quantum memory.

Exponential speedups in fault-tolerant processing of quantum experiments Exponential separations between learning with and without quantum memory

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-09T05:55:29.756696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 667ad02a-8afe-4b57-8fa8-e6250a10ec04 · outbound

This paper cites Optimal tradeoffs for estimating Pauli observables.

Exponential speedups in fault-tolerant processing of quantum experiments Optimal tradeoffs for estimating Pauli observables

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-05-09T05:55:29.774077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 99e104d1-3780-4f4d-82cf-9c9b77b66e5e · outbound

This paper cites Ye , author Z.

Exponential speedups in fault-tolerant processing of quantum experiments Ye , author Z

Reference 30

Resolution: verified exact; arxiv_id, observed 2026-05-09T05:55:29.742288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation b7de1cd8-f1de-4e80-9ec8-7cca90c074a0 · outbound

This paper cites an unresolved cited work.

Exponential speedups in fault-tolerant processing of quantum experiments Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-05-26T02:57:19.529244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 9f5bb8d2-c998-4a72-8faf-4ef9499afcf1 · outbound

This paper cites Huang, M.

Exponential speedups in fault-tolerant processing of quantum experiments Huang, M

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T02:57:19.537088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation c549890b-c062-429a-9c1f-71c8f453685f · outbound

This paper cites Exponential Separations between Quantum Learning with and without Purification.

Exponential speedups in fault-tolerant processing of quantum experiments Exponential Separations between Quantum Learning with and without Purification

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-05-09T05:55:29.725876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 1eb67afa-8d83-493c-8028-21036a258404 · outbound

This paper cites Lloyd, M.

Exponential speedups in fault-tolerant processing of quantum experiments Lloyd, M

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T02:57:19.554432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation e2df6421-2248-4e5d-9ff3-10b87eb970dc · outbound

This paper cites Huggins, Sam McArdle, Thomas E.

Exponential speedups in fault-tolerant processing of quantum experiments Huggins, Sam McArdle, Thomas E

Reference 35

Resolution: verified exact; doi, observed 2026-05-08T19:29:05.374108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 790c9aa8-8980-4023-a8f6-c50aad4f093b · outbound

This paper cites Huang, R.

Exponential speedups in fault-tolerant processing of quantum experiments Huang, R

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T02:57:19.546955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 4fefaf22-e889-4cb5-8d11-b62387f72080 · outbound

This paper cites an unresolved cited work.

Exponential speedups in fault-tolerant processing of quantum experiments Unresolved cited work

Reference 37

Resolution: verified exact; doi, observed 2026-05-08T19:29:05.377489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Pith citing papers

Observation 4087bc1c-85b1-4874-a0f2-d110350b4304 · inbound

Restrictions on non-Clifford fault tolerance and ruling out beyond-SQL quantum metrology cites this paper.

Restrictions on non-Clifford fault tolerance and ruling out beyond-SQL quantum metrology Exponential speedups in fault-tolerant processing of quantum experiments

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T09:24:18.764698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.