Paper Citation Record · LEDGER

Transportation cost and contraction coefficient for channels on von Neumann algebras

As of 10 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2506.04197.

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

pith.paper-citation-record.v1
2506.04197 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:54:50.904769Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-16T23:00:20.852667Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-16T23:01:20.531590Z

Reference resolution

39 of 39 outbound references displayed

verified exact3
verified fuzzy30
unresolved6
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External citation measurements

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Outbound references

Observation c89acf79-a03e-400a-a152-549e155fd675 · outbound

This paper cites A Wasserstein-type Distance to Measure Deviation from Equilibrium of Quantum Markov Semi- groups.

Transportation cost and contraction coefficient for channels on von Neumann algebras A Wasserstein-type Distance to Measure Deviation from Equilibrium of Quantum Markov Semi- groups

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.809604Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 256b1c5f-5921-4195-bbe1-80458aa87c21 · outbound

This paper cites Quantum Wasserstein distances for quantum permutation groups.

Transportation cost and contraction coefficient for channels on von Neumann algebras Quantum Wasserstein distances for quantum permutation groups

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:54:51.341436Z

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Observation aa507c49-1db3-4618-ae83-919a3d388f0b · outbound

This paper cites Resource-Dependent Complexity of Quantum Channels.

Transportation cost and contraction coefficient for channels on von Neumann algebras Resource-Dependent Complexity of Quantum Channels

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T10:54:50.730196Z

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Observation 242e210a-e152-4bef-9b07-2a6885636f43 · outbound

This paper cites Order p Quantum Wasserstein Distances from Couplings.

Transportation cost and contraction coefficient for channels on von Neumann algebras Order p Quantum Wasserstein Distances from Couplings

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.794676Z

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Observation 05de4232-0bed-4724-b488-f8214ba7bac5 · outbound

This paper cites Reverse-type Data Processing Inequality.

Transportation cost and contraction coefficient for channels on von Neumann algebras Reverse-type Data Processing Inequality

Reference 5

Resolution: verified exact; raw_fallback, observed 2026-08-07T10:54:51.251425Z

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Observation 88203d6e-2f8c-463c-8ef5-17d243b76e85 · outbound

This paper cites A free probability analogue of the Wasserstein metric on the trace-state space.

Transportation cost and contraction coefficient for channels on von Neumann algebras A free probability analogue of the Wasserstein metric on the trace-state space

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.779597Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8cf1c7a1-d178-4a63-b4f8-2913f71b0f36 · outbound

This paper cites Towards Optimal Transport for Quantum Densities.

Transportation cost and contraction coefficient for channels on von Neumann algebras Towards Optimal Transport for Quantum Densities

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T10:54:50.753395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6cb9d48f-ad21-4821-a553-14b3a0a606fc · outbound

This paper cites Entropy and curvature: beyond the Peres-Tetali conjecture.

Transportation cost and contraction coefficient for channels on von Neumann algebras Entropy and curvature: beyond the Peres-Tetali conjecture

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.764672Z

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Observation 04fddb12-310d-406d-bdcc-0857f341129f · outbound

This paper cites BMO-estimates for non-commutative vector valued Lipschitz functions.

Transportation cost and contraction coefficient for channels on von Neumann algebras BMO-estimates for non-commutative vector valued Lipschitz functions

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.749729Z

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Observation 04582347-ff1f-4d18-a244-5a47fd0e787c · outbound

This paper cites The metric aspect of noncommutative geometry.

Transportation cost and contraction coefficient for channels on von Neumann algebras The metric aspect of noncommutative geometry

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.734916Z

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Observation 6d63c44e-6218-4fd1-9410-e5fd16c3c198 · outbound

This paper cites The Quantum Wasserstein Distance of Order 1.

Transportation cost and contraction coefficient for channels on von Neumann algebras The Quantum Wasserstein Distance of Order 1

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.720080Z

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Observation 14105f47-240b-49fa-9aa9-10d0aa624818 · outbound

This paper cites Quantum Optimal Transport with Quantum Channels.

Transportation cost and contraction coefficient for channels on von Neumann algebras Quantum Optimal Transport with Quantum Channels

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.705296Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9f783c8e-6b24-46dd-b58a-20769657b96f · outbound

This paper cites Lower Bound for Simulation Cost of Open Quantum Systems: Lipschitz Continuity Approach.

Transportation cost and contraction coefficient for channels on von Neumann algebras Lower Bound for Simulation Cost of Open Quantum Systems: Lipschitz Continuity Approach

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.690338Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6c0a43ea-e690-458f-bc3c-695a034977a6 · outbound

This paper cites Dixmier.von Neumann algebras.

Transportation cost and contraction coefficient for channels on von Neumann algebras Dixmier.von Neumann algebras

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.675401Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4a25865b-e8e1-4e0a-adc7-2848db565d69 · outbound

This paper cites A View on Optimal Transport from Noncommutative Geometry.

Transportation cost and contraction coefficient for channels on von Neumann algebras A View on Optimal Transport from Noncommutative Geometry

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.659589Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8ce2cdd2-20d5-4fbc-befc-1539ade2561c · outbound

This paper cites Fisher information and logarithmic Sobolev inequality for matrix-valued functions.

Transportation cost and contraction coefficient for channels on von Neumann algebras Fisher information and logarithmic Sobolev inequality for matrix-valued functions

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.644142Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b98f36b4-dadd-40cc-9b3c-2f21e93ec974 · outbound

This paper cites Relative entropy for von Neumann subalgebras.

Transportation cost and contraction coefficient for channels on von Neumann algebras Relative entropy for von Neumann subalgebras

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.627743Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ce00cdda-cfe0-4f94-bdf3-184dfe432418 · outbound

This paper cites Relative entropy decay and complete positivity mixing time.

Transportation cost and contraction coefficient for channels on von Neumann algebras Relative entropy decay and complete positivity mixing time

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:54:51.137688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8ba1e9e2-9fe7-497c-9a88-0d5418414a15 · outbound

This paper cites Complete Entropic Inequalities for Quantum Markov Chains.

Transportation cost and contraction coefficient for channels on von Neumann algebras Complete Entropic Inequalities for Quantum Markov Chains

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.612251Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e19b0b0c-432d-46be-b0c2-bbe678ae239b · outbound

This paper cites Coarse Ricci curvature of quantum channels.

Transportation cost and contraction coefficient for channels on von Neumann algebras Coarse Ricci curvature of quantum channels

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.597201Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7fe67219-6616-49c7-8cab-e400f9d33c42 · outbound

This paper cites A Unified Approach to Quantum Contraction and Correlation Coefficients.

Transportation cost and contraction coefficient for channels on von Neumann algebras A Unified Approach to Quantum Contraction and Correlation Coefficients

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T10:54:50.821900Z

Source-reported events for the cited work

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Observation 3d35e122-4269-46bb-add5-ca8fa5587229 · outbound

This paper cites Carnot–Carath´ eodory Spaces Seen from Within.

Transportation cost and contraction coefficient for channels on von Neumann algebras Carnot–Carath´ eodory Spaces Seen from Within

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.581996Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 445d5383-8924-46ca-ae9b-85e71761e0b1 · outbound

This paper cites Contraction coefficients for noisy quantum channels.

Transportation cost and contraction coefficient for channels on von Neumann algebras Contraction coefficients for noisy quantum channels

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.566713Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 81658807-a02d-4437-aa73-159ac4ef1e4a · outbound

This paper cites BMO spaces associated with semigroups of operators.

Transportation cost and contraction coefficient for channels on von Neumann algebras BMO spaces associated with semigroups of operators

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.550882Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 74600a50-3cb5-4b47-9eea-e7bcafdea36c · outbound

This paper cites A noncommutative version of the John-Nirenberg theorem.

Transportation cost and contraction coefficient for channels on von Neumann algebras A noncommutative version of the John-Nirenberg theorem

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.534919Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 80049205-76b0-4c35-b085-718e0c45e3c2 · outbound

This paper cites On the translocation of masses.

Transportation cost and contraction coefficient for channels on von Neumann algebras On the translocation of masses

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.519574Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c3f6d2eb-694c-4dc4-8e01-7c777edfa322 · outbound

This paper cites Wasserstein Complexity of Quantum Circuits.

Transportation cost and contraction coefficient for channels on von Neumann algebras Wasserstein Complexity of Quantum Circuits

Reference 27

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Source-reported events for the cited work

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Observation 1c889650-9e1f-45df-87e1-2d5d1a1367bf · outbound

This paper cites Monge.M´ emoire sur la th´ eorie des d´ eblais et des remblais.

Transportation cost and contraction coefficient for channels on von Neumann algebras Monge.M´ emoire sur la th´ eorie des d´ eblais et des remblais

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.503476Z

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Observation 0c4a2868-806f-4122-8a7e-447604bae5e0 · outbound

This paper cites A Geometric Approach to Quantum Circuit Lower Bounds.

Transportation cost and contraction coefficient for channels on von Neumann algebras A Geometric Approach to Quantum Circuit Lower Bounds

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.486479Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ff6b0593-8a44-4130-8aa6-532195a75c13 · outbound

This paper cites Optimal control, geometry, and quantum computing.

Transportation cost and contraction coefficient for channels on von Neumann algebras Optimal control, geometry, and quantum computing

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.470438Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 735a2a3d-5577-4ee5-84a6-e30eaf83cea6 · outbound

This paper cites Quantum Computation as Geometry.

Transportation cost and contraction coefficient for channels on von Neumann algebras Quantum Computation as Geometry

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.453673Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 484576f5-4c82-46d4-b210-67a9cded38cd · outbound

This paper cites Paulsen.Completely Bounded Maps and Operator Algebras.

Transportation cost and contraction coefficient for channels on von Neumann algebras Paulsen.Completely Bounded Maps and Operator Algebras

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.437483Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 36d4cfd4-5451-4a13-92ef-1a1ec982c2e3 · outbound

This paper cites Metrics on state spaces.

Transportation cost and contraction coefficient for channels on von Neumann algebras Metrics on state spaces

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.421105Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e483fbfa-acdb-487a-b943-ddc55ab3298e · outbound

This paper cites Compact quantum metric spaces.

Transportation cost and contraction coefficient for channels on von Neumann algebras Compact quantum metric spaces

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.405168Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3c661739-c6ea-45e1-8008-38fbb3e01f01 · outbound

This paper cites Optimal quantum algorithm for Gibbs state preparation.

Transportation cost and contraction coefficient for channels on von Neumann algebras Optimal quantum algorithm for Gibbs state preparation

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T10:54:50.886968Z

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Unavailable: canonical work link unavailable.

Observation ded037c9-8561-454a-a2d5-1e1b702ff693 · outbound

This paper cites Sakai.C-algebras and W-algebras.

Transportation cost and contraction coefficient for channels on von Neumann algebras Sakai.C*-algebras and W*-algebras

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.389505Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation de94c81b-ea63-4397-a2fd-ed024674cbc6 · outbound

This paper cites Quasi-relative entropy: the closest separable state and reversed Pinsker inequality.

Transportation cost and contraction coefficient for channels on von Neumann algebras Quasi-relative entropy: the closest separable state and reversed Pinsker inequality

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.373196Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 76483b28-de09-4295-9f98-e0c2d255113e · outbound

This paper cites Exponential Relative Entropy Decay Along Quantum Markov Semigroups.

Transportation cost and contraction coefficient for channels on von Neumann algebras Exponential Relative Entropy Decay Along Quantum Markov Semigroups

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-07T10:54:50.900153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b6de95a-f116-407c-b00e-89076f6cdc8b · outbound

This paper cites Non-commutative metric topology on matrix state space.

Transportation cost and contraction coefficient for channels on von Neumann algebras Non-commutative metric topology on matrix state space

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:54:51.357463Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

Observation 5c417e86-6abb-4f0a-959f-9b0feeaf05d3 · inbound

Metrics on completely positive maps via noncommutative geometry cites this paper.

Metrics on completely positive maps via noncommutative geometry Transportation cost and contraction coefficient for channels on von Neumann algebras

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-16T23:01:20.533955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.