Paper Citation Record · LEDGER

Direct reconstruction of the quantum density matrix elements with classical shadow tomography

As of 22 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 1 inbound Pith citation observation for arXiv:2505.15243.

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

pith.paper-citation-record.v1
2505.15243 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

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measured 53 of 53 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T23:03:29.845540Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

52 of 52 outbound references displayed

verified exact0
verified fuzzy31
unresolved21
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0f670cf7-7d1d-4856-9f1c-55c9bd9c3fe3 · outbound

This paper cites an unresolved cited work.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:01.593003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fe6935d6-c09e-4e60-bb93-ae3fd6e0a4f7 · outbound

This paper cites , ρjK jK } simultaneously: N ≥ ln(2K/δ) 2ϵ2.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography , ρjK jK } simultaneously: N ≥ ln(2K/δ) 2ϵ2

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.582406Z

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Observation 039a5880-1067-45eb-bace-43e28e1d6f67 · outbound

This paper cites • UO,2: The relative phase differs from that of |ϕ⟩, leading to cancellation of cross terms and uniform projection: tr(OPjk ) = 1 2n , ⇒ tr(O0Pjk ) = 0.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography • UO,2: The relative phase differs from that of |ϕ⟩, leading to cancellation of cross terms and uniform projection: tr(OPjk ) = 1 2n , ⇒ tr(O0Pjk ) = 0

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.569853Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ffc5d7dc-1ba2-49e7-98a4-1c0f12e62813 · outbound

This paper cites The sample complexity for this step is O log K ϵ2.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography The sample complexity for this step is O log K ϵ2

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.558010Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 136bc223-9b3b-4404-83cb-b9107dcfd3db · outbound

This paper cites an unresolved cited work.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:01.547197Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7ac9d5e0-d030-49f3-820e-743d871cf3a6 · outbound

This paper cites Paris and J.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Paris and J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.535723Z

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Observation f0d93994-8456-430f-9a1f-0e015a9345c2 · outbound

This paper cites an unresolved cited work.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T15:31:00.811325Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7aa24957-ce02-46ac-8e75-dd19dc508d29 · outbound

This paper cites Friis, G.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Friis, G

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.518316Z

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Observation be4ac3ec-6331-4e43-92c0-5e609cb99a91 · outbound

This paper cites Streltsov, G.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Streltsov, G

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.506627Z

Source-reported events for the cited work

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Observation b0f3d1d6-d58d-41bf-bd37-c03e0dcc7e2c · outbound

This paper cites Gross, Y.-K.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Gross, Y.-K

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.495257Z

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Observation 5191d607-b14f-497a-8439-be36b70a9747 · outbound

This paper cites an unresolved cited work.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:01.483641Z

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Observation 722afb2e-3a4f-4555-9651-fb7663ba90eb · outbound

This paper cites an unresolved cited work.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T15:31:00.829891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac1ad67a-c535-4c63-8c69-189c50d27195 · outbound

This paper cites an unresolved cited work.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:01.465778Z

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Observation 697a6152-09e9-4c29-b975-bc7bd0925065 · outbound

This paper cites an unresolved cited work.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:01.453944Z

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Observation 2533b357-6195-4cad-9e6d-c039198386d2 · outbound

This paper cites Bamber and J.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Bamber and J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.442923Z

Source-reported events for the cited work

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Observation da1c4db8-4d90-45ed-a73b-f881787b561a · outbound

This paper cites an unresolved cited work.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:01.432122Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e1783f5f-f173-43d2-ab53-0f8df508dc80 · outbound

This paper cites an unresolved cited work.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:01.420988Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a4c10fea-2ac8-462b-bf77-06271581fb17 · outbound

This paper cites Bolduc, G.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Bolduc, G

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.409920Z

Source-reported events for the cited work

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Observation af15c8c8-a5e2-42e3-b38b-06cd09638fe7 · outbound

This paper cites Vallone and D.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Vallone and D

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.398047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1f956581-b49e-4a26-b479-72aa38ae65c5 · outbound

This paper cites Calderaro, G.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Calderaro, G

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.385667Z

Source-reported events for the cited work

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Observation 8f5b5a59-2cbc-4910-9062-e92dc8c72131 · outbound

This paper cites Pan, X.-Y.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Pan, X.-Y

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.373697Z

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Observation 5e6aed53-1f43-4468-825c-5fa35f6503ca · outbound

This paper cites Zhang, M.-J.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Zhang, M.-J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.360324Z

Source-reported events for the cited work

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Observation 1ccd09a1-edf7-4fb4-8909-81c3f869ea19 · outbound

This paper cites an unresolved cited work.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:01.349323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8e6f883f-4486-43b4-aa22-4ee21ac10b2b · outbound

This paper cites Huang, R.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Huang, R

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T15:31:00.876614Z

Source-reported events for the cited work

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Observation dd63db4f-fecb-4eb9-83a7-7cf22435d5fe · outbound

This paper cites Aaronson, in Proceedings of the 50th annual ACM SIGACT symposium on theory of computing(2018) pp.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Aaronson, in Proceedings of the 50th annual ACM SIGACT symposium on theory of computing(2018) pp

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.329651Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 13e4f7af-c074-4c51-bc6a-779763f4ae3f · outbound

This paper cites Kokail, R.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Kokail, R

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.318998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9912dc9f-1668-454e-8e03-d1b3f0caeb6e · outbound

This paper cites Hadfield, S.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Hadfield, S

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.308094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e4f9b104-706b-4e20-8c0a-e51acd546a78 · outbound

This paper cites Seif, Z.-P.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Seif, Z.-P

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.297251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5cc1ea08-a56b-4fee-9bc5-4f0742563738 · outbound

This paper cites Jnane, J.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Jnane, J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.285819Z

Source-reported events for the cited work

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Observation d5ad7e4d-23b9-4614-ad40-ff258873160a · outbound

This paper cites Zhao and A.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Zhao and A

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.272474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 95c475da-a4b3-4eb7-bd2f-7c16682c1fca · outbound

This paper cites Huang, R.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Huang, R

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.262009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 81cda0a4-922a-48de-9ea8-431f21bf1433 · outbound

This paper cites Jerbi, C.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Jerbi, C

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.249923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4aaed56f-3f17-483b-a2c3-037190a19507 · outbound

This paper cites Kueng, H.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Kueng, H

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.238928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fc4e3f69-356b-400c-a634-adbdfbdd5a72 · outbound

This paper cites an unresolved cited work.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:01.227036Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 360fe5e9-241e-42f1-b402-c48edf653cae · outbound

This paper cites Horodecki, P.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Horodecki, P

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.214772Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 60b3c7dc-1855-4f32-80ce-05b7d1809992 · outbound

This paper cites Ringbauer, T.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Ringbauer, T

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.204071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a9917c16-dfbb-4c62-ac9d-37d3c2223ee9 · outbound

This paper cites an unresolved cited work.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:01.193178Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b4db6cf0-8b1c-418e-ae2a-9a581fc3afc8 · outbound

This paper cites Direct Measurement of Density Matrices via Dense Dual Bases.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Direct Measurement of Density Matrices via Dense Dual Bases

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-07T15:31:00.931599Z

Source-reported events for the cited work

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Observation fc184783-e450-4061-a3cb-7b5538fe7686 · outbound

This paper cites an unresolved cited work.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:01.180660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 43cbaed2-2a7e-4edf-a504-6a9befab6195 · outbound

This paper cites Wang and W.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Wang and W

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.170246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f8772899-ca4d-4848-9a40-14c934d16147 · outbound

This paper cites An Efficient Quantum Circuit Construction Method for Mutually Unbiased Bases in $n$-Qubit Systems.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography An Efficient Quantum Circuit Construction Method for Mutually Unbiased Bases in $n$-Qubit Systems

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T15:31:00.943428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 705d5a85-d286-4426-9fea-5d0c7e22378d · outbound

This paper cites Aaronson and D.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Aaronson and D

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-07T15:31:00.947595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 26da9c35-6c3a-47db-860e-3e9516b1924f · outbound

This paper cites Koenig and J.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Koenig and J

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.152074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6be1d91c-3f89-41ee-b1cd-f0f2ed510729 · outbound

This paper cites Maslov and M.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Maslov and M

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.141289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 361b4cfd-2b58-4359-bee6-3ca5d59c0ee6 · outbound

This paper cites van den Berg, in 2021 IEEE International Conference on Quantum Computing and Engineering (QCE)(2021) pp.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography van den Berg, in 2021 IEEE International Conference on Quantum Computing and Engineering (QCE)(2021) pp

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.129624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7b8525ae-bde0-43c1-a8d9-5f4a1b9744b0 · outbound

This paper cites Bravyi and D.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Bravyi and D

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.115953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 99d36d85-9233-4240-903e-ad1edab99e1c · outbound

This paper cites an unresolved cited work.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:01.103044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 21904ded-41f3-4d7a-8b80-963693253b4e · outbound

This paper cites an unresolved cited work.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:01.089613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 49028bdb-8266-4691-96e0-23864e9644d6 · outbound

This paper cites O’Donnell and J.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography O’Donnell and J

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.075708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a68be173-5f98-4ccd-a899-41c3fd62a5a4 · outbound

This paper cites an unresolved cited work.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Unresolved cited work

Reference 50

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:01.062859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 89ef0160-c161-440b-8f86-121f4fd82714 · outbound

This paper cites an unresolved cited work.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Unresolved cited work

Reference 51

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:31:01.049873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4eb440ef-c82f-47da-97e9-b1a13ef36541 · outbound

This paper cites Heinosaari, L.

Direct reconstruction of the quantum density matrix elements with classical shadow tomography Heinosaari, L

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:31:01.038478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 58f99f60-246f-448e-8163-fb8177967163 · inbound

Tomography by Design: An Algebraic Approach to Low-Rank Quantum States cites this paper.

Tomography by Design: An Algebraic Approach to Low-Rank Quantum States Direct reconstruction of the quantum density matrix elements with classical shadow tomography

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T23:03:29.845540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.