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Paper Citation Record · LEDGER

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence

As of 18 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2509.04790.

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

pith.paper-citation-record.v1
2509.04790 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:36:35.712247Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

34 of 34 outbound references displayed

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  • verified fuzzy11
  • unresolved21
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External citation measurements

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Outbound references

Observation a91f0337-48fd-4a9e-bfb8-c492cb78221b · outbound

This paper cites an unresolved cited work.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Unresolved cited work

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 2ec0a401-c78b-425a-8f2d-2e3bc784b629 · outbound

This paper cites 6.The L1 norm between the of the off-diagonal part of the qubit density matrix under repeated action of the map for n =2 steps.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence 6.The L1 norm between the of the off-diagonal part of the qubit density matrix under repeated action of the map for n =2 steps

Reference 2

Resolution
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation d703f484-5e0b-4b79-98f4-2678b706a4c4 · outbound

This paper cites an unresolved cited work.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Unresolved cited work

Reference 3

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Observation db63fdf9-c8ba-4347-977b-405635c8dfaf · outbound

This paper cites an unresolved cited work.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Unresolved cited work

Reference 4

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation c28fc7c1-c1c8-49e3-ba44-eeffec5f1d2f · outbound

This paper cites an unresolved cited work.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Unresolved cited work

Reference 5

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 9a299e76-5ba8-4bf7-88e8-8597b42bd741 · outbound

This paper cites Lecture Notes on the Theory of Open Quantum Systems.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Lecture Notes on the Theory of Open Quantum Systems

Reference 6

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source=pdf_text observed=2026-08-15T16:36:35.599847Z digest=sha256:699a845dd4fa3371137bbe0bb4680fed54795ee92beeb747f87269a141a83e8f

Observation 9ec8cba9-95c1-4cd2-8e2e-a5db68533464 · outbound

This paper cites Chitambar and G.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Chitambar and G

Reference 7

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source=pdf_text observed=2026-08-15T16:36:35.604509Z digest=sha256:f5d0292d800e8baba2c0cf7c13c52daa910a32abc11c0e487952d446875f01bd

Observation 493e76f2-4651-4f59-888c-087e47ab80ee · outbound

This paper cites Kolchinsky, I.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Kolchinsky, I

Reference 8

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source=pdf_text observed=2026-08-15T16:36:35.608403Z digest=sha256:e742b2d02033026789e73380e2a808263acd8de776d350bddecc6b2c2a71c38e

Observation db17f415-c2c7-4f22-a2af-090d3f2ee609 · outbound

This paper cites Lostaglio, Reports on Progress in Physics82, 114001 (2019).

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Lostaglio, Reports on Progress in Physics82, 114001 (2019)

Reference 9

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Observation 8ea788b8-406e-43b6-995b-8ee2f0d09ee5 · outbound

This paper cites Brandão, M.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Brandão, M

Reference 10

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Observation 138bbd25-1d40-4d8c-be0d-1bbe323b81fb · outbound

This paper cites an unresolved cited work.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Unresolved cited work

Reference 11

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 48fc4a2a-d1dc-4467-98bf-bdcdd4a6c527 · outbound

This paper cites Marvian and R.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Marvian and R

Reference 12

Resolution
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation b518edd9-3fff-4a51-bc4b-6a1d93f2d090 · outbound

This paper cites Faist and R.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Faist and R

Reference 13

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation c9f79d95-daa8-41b5-ab0f-b2b20c7a575c · outbound

This paper cites an unresolved cited work.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Unresolved cited work

Reference 14

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Observation 63b4da7e-92a9-4ca7-b0da-6efa7f2ebb0b · outbound

This paper cites an unresolved cited work.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Unresolved cited work

Reference 15

Resolution
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation bda8b81a-793a-411d-9fb3-12bacc6347ba · outbound

This paper cites Horodecki and J.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Horodecki and J

Reference 16

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:36:35.640041Z digest=sha256:97113c13fed950b103472776dccbf7efbfd8730122f2e45b52cb56b043ba05fd

Observation 29889149-31d8-4381-8bdc-f05c39067a51 · outbound

This paper cites an unresolved cited work.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Unresolved cited work

Reference 17

Resolution
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 150d88d1-97d8-4ba2-9c84-d5e6672623b2 · outbound

This paper cites Exploring the Limits of Open Quantum Dynamics II: Gibbs-Preserving Maps from the Perspective of Majorization.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Exploring the Limits of Open Quantum Dynamics II: Gibbs-Preserving Maps from the Perspective of Majorization

Reference 18

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 76518606-b066-4e08-88e6-2d3c343fea73 · outbound

This paper cites Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics

Reference 19

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Observation e2b2ba2a-a051-4e83-be48-dea83f82f76c · outbound

This paper cites Tajima and R.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Tajima and R

Reference 20

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation d35778bf-0353-4818-bdaa-043ce6d19301 · outbound

This paper cites Shiraishi, Europhysics Letters149, 18001 (2025).

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Shiraishi, Europhysics Letters149, 18001 (2025)

Reference 21

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source=pdf_text observed=2026-08-15T16:36:35.659977Z digest=sha256:5319a7c981218223e870ae4fdb78a9e47622238fedf3c99c392bf60a59106ab7

Observation d7fb9aef-5c25-41a5-92fd-bca353b317f9 · outbound

This paper cites Campbellet al., arXiv preprintarXiv:2504.20145 (2025).

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Campbellet al., arXiv preprintarXiv:2504.20145 (2025)

Reference 22

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Observation 9d0782d0-843b-40f5-9bc4-c91130d5d4b8 · outbound

This paper cites Jagadish and F.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Jagadish and F

Reference 23

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 45d6517c-ce37-4964-bcf6-a5f199bf1081 · outbound

This paper cites an unresolved cited work.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Unresolved cited work

Reference 24

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 400ddf3c-25ee-49a5-a151-245b3312e7e3 · outbound

This paper cites Lostaglio, K.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Lostaglio, K

Reference 25

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Observation 41faf959-5448-449b-9db2-c73c4beecb03 · outbound

This paper cites Quantum homogenization.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Quantum homogenization

Reference 26

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Observation bc2a5859-0e09-4e44-97bc-26bb482a25c3 · outbound

This paper cites Strasberg and A.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Strasberg and A

Reference 27

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:36:35.683099Z digest=sha256:90f7b4edd1ddcc6e6c388c5169841c17ce1205617b763861a2948181eccc2e79

Observation 24ac19ca-dd71-4cfd-9f45-1840910e3f9e · outbound

This paper cites Fauseweh and J.-X.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Fauseweh and J.-X

Reference 28

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation d6ba4f2a-96b3-4946-9e5b-b9778f84f498 · outbound

This paper cites an unresolved cited work.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Unresolved cited work

Reference 29

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 2cc66c6f-561e-4d82-adc1-78b9f7929e09 · outbound

This paper cites 11 Appendix A: U(1) symmetric qubit unitaries This appendix provides a mathematical characterization of unitary operators that commute with the U symmetry generatorG= P iσ(i) Z.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence 11 Appendix A: U(1) symmetric qubit unitaries This appendix provides a mathematical characterization of unitary operators that commute with the U symmetry generatorG= P iσ(i) Z

Reference 30

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation bd774b7c-88f8-4e47-8cb4-0093a97b4494 · outbound

This paper cites an unresolved cited work.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:36:35.929309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:36:35.700047Z digest=sha256:fb5b01263e4bfae29920de5e8985dd6ee1f573d6aa65ce255aa21a1f998ddfd3

Observation f3cf81ce-aff6-428c-97b0-408c4e21be1e · outbound

This paper cites However, this time let the system and environment start with all possible two-body correlations.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence However, this time let the system and environment start with all possible two-body correlations

Reference 32

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raw_fallback, observed 2026-08-15T16:36:35.915859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation e969cbe2-842f-471c-a172-c5f1ad7a0039 · outbound

This paper cites While they can generate maps that have coherences, they do not have the Gibbs state as a fixed point.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence While they can generate maps that have coherences, they do not have the Gibbs state as a fixed point

Reference 33

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 0d5fa3de-9209-4c3a-8be5-7b7428f4f577 · outbound

This paper cites A schematic of the setup is shown in Fig.

Hierarchy of Qubit Dynamical Maps in the Presence of Symmetry and Coherence A schematic of the setup is shown in Fig

Reference 34

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verified fuzzy
raw_fallback, observed 2026-08-15T16:36:35.889204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Pith citing papers

No inbound Pith citation observations are available.