Paper Citation Record · LEDGER

Riemannian Optimization for Holevo Capacity

As of 11 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2501.11576.

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

pith.paper-citation-record.v1
2501.11576 v1

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measured 46 of 46 reference resolution

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Reference resolution

46 of 46 outbound references displayed

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Outbound references

Observation 36fad51b-8099-4f5d-bf53-4d474f5ec0da · outbound

This paper cites Bounds for the quantity of information transmitted by a quantum communication channel,.

Riemannian Optimization for Holevo Capacity Bounds for the quantity of information transmitted by a quantum communication channel,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:12:13.732703Z

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Observation 550816ef-9298-4483-9fa4-544069895259 · outbound

This paper cites Sending classical information via noisy quantum channels,.

Riemannian Optimization for Holevo Capacity Sending classical information via noisy quantum channels,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:12:13.717912Z

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Observation 6c40cbcc-cb3f-49be-8355-3613896ac779 · outbound

This paper cites The capacity of the quantum channel with general signal states,.

Riemannian Optimization for Holevo Capacity The capacity of the quantum channel with general signal states,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:12:13.702598Z

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Observation 958b55b9-f58e-43d5-b862-1e1a35430e1a · outbound

This paper cites Additivity of the classical capacity of entanglement- breaking quantum channels,.

Riemannian Optimization for Holevo Capacity Additivity of the classical capacity of entanglement- breaking quantum channels,

Reference 4

Resolution: verified exact; doi, observed 2026-08-10T18:12:12.849998Z

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Observation ea441bca-d8e8-4ac9-975d-ead67d9318ca · outbound

This paper cites Additivity for unital qubit channels,.

Riemannian Optimization for Holevo Capacity Additivity for unital qubit channels,

Reference 5

Resolution: verified exact; doi, observed 2026-08-10T18:12:12.834228Z

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Observation 5be7f4c1-61d7-4db4-ba17-b657b4a5cccc · outbound

This paper cites The capacity of the quantum depolarizing channel,.

Riemannian Optimization for Holevo Capacity The capacity of the quantum depolarizing channel,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:12:13.685697Z

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Observation 7566f4d6-8805-4797-882f-1adf07e498f5 · outbound

This paper cites Capacities of quantum erasure channels,.

Riemannian Optimization for Holevo Capacity Capacities of quantum erasure channels,

Reference 7

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T18:12:13.671014Z

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Observation 9dbebbf3-e8cc-4daa-9099-cf03475a5488 · outbound

This paper cites An application of a matrix inequality in quantum information theory.

Riemannian Optimization for Holevo Capacity An application of a matrix inequality in quantum information theory

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:12:13.375107Z

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Observation 6bae3868-45d1-438e-a219-5191064a39d2 · outbound

This paper cites Properties of conjugate channels with applications to additivity and multiplicativity,.

Riemannian Optimization for Holevo Capacity Properties of conjugate channels with applications to additivity and multiplicativity,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:12:13.655722Z

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Observation 2f46a972-5714-4332-9b39-eade228b70c7 · outbound

This paper cites Superadditivity of communication capacity using entangled inputs,.

Riemannian Optimization for Holevo Capacity Superadditivity of communication capacity using entangled inputs,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:12:13.640090Z

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Observation ef5d907b-6cbf-4588-9f2b-35faf58a8ce3 · outbound

This paper cites On the Complexity of Computing Zero-Error and Holevo Capacity of Quantum Channels.

Riemannian Optimization for Holevo Capacity On the Complexity of Computing Zero-Error and Holevo Capacity of Quantum Channels

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T18:12:12.555647Z

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Observation a0a31ecc-6274-486e-8a81-d43dc4622037 · outbound

This paper cites Semidefinite programming strong converse bounds for classical capacity,.

Riemannian Optimization for Holevo Capacity Semidefinite programming strong converse bounds for classical capacity,

Reference 12

Resolution: verified exact; raw_fallback, observed 2026-08-10T18:12:13.322236Z

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Observation 0e8a0550-e4af-4fcf-895c-500593932372 · outbound

This paper cites On converse bounds for classical communication over quantum channels.

Riemannian Optimization for Holevo Capacity On converse bounds for classical communication over quantum channels

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:12:13.236092Z

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Observation abda5df1-ee9c-47db-aa81-a70318e6f621 · outbound

This paper cites Geometric Rényi divergence and its applica- tions in quantum channel capacities,.

Riemannian Optimization for Holevo Capacity Geometric Rényi divergence and its applica- tions in quantum channel capacities,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:12:13.625120Z

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Observation 44cbbae8-4a48-4006-889d-41770138a1ba · outbound

This paper cites Approaches for approximate additivity of the Holevo information of quantum channels,.

Riemannian Optimization for Holevo Capacity Approaches for approximate additivity of the Holevo information of quantum channels,

Reference 15

Resolution: verified exact; doi, observed 2026-08-10T18:12:12.809779Z

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Observation 7cfecdc0-f433-4492-81ec-206b58532bf6 · outbound

This paper cites Computation of channel capacity and rate-distortion func- tions,.

Riemannian Optimization for Holevo Capacity Computation of channel capacity and rate-distortion func- tions,

Reference 16

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Observation 6a6033c1-5ec0-474e-981e-db2646fb6b23 · outbound

This paper cites An algorithm for computing the capacity of arbitrary dis- crete memoryless channels,.

Riemannian Optimization for Holevo Capacity An algorithm for computing the capacity of arbitrary dis- crete memoryless channels,

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-10T18:12:12.585764Z

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Observation ad13fdc8-09cb-43c5-ac18-4a0101e647aa · outbound

This paper cites Algorithms of Arimoto–Blahut type for computing quan- tum channel capacity,.

Riemannian Optimization for Holevo Capacity Algorithms of Arimoto–Blahut type for computing quan- tum channel capacity,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:12:13.589830Z

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Observation bc3607c5-bf1e-4ee8-a991-f79262be631e · outbound

This paper cites Capacities of quantum channels and how to find them,.

Riemannian Optimization for Holevo Capacity Capacities of quantum channels and how to find them,

Reference 19

Resolution: verified exact; doi, observed 2026-08-10T18:12:12.794308Z

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Observation 9e49e576-f518-4820-ab1e-54d08141531e · outbound

This paper cites Numerical experiments on the capacity of quantum channel with entangled input states,.

Riemannian Optimization for Holevo Capacity Numerical experiments on the capacity of quantum channel with entangled input states,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:12:13.575036Z

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Observation 88260e3a-2180-4864-8faf-b84b87bca434 · outbound

This paper cites Computational geometry anal- ysis of quantum state space and its applications,.

Riemannian Optimization for Holevo Capacity Computational geometry anal- ysis of quantum state space and its applications,

Reference 21

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Observation 531e2930-3efb-4e77-90d2-17a33f85d515 · outbound

This paper cites Efficient approximation of quantum channel capacities,.

Riemannian Optimization for Holevo Capacity Efficient approximation of quantum channel capacities,

Reference 22

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Observation c5c4a218-0eff-4671-98bd-8da9a9d93d44 · outbound

This paper cites A Blahut–Arimoto type algorithm for computing classical-quantum channel capacity,.

Riemannian Optimization for Holevo Capacity A Blahut–Arimoto type algorithm for computing classical-quantum channel capacity,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:12:13.544006Z

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Observation e75788cf-1c1d-49fc-b07a-c8ffb56d94a9 · outbound

This paper cites Computing the Classical-Quantum channel capacity: experiments on a Blahut-Arimoto type algorithm and an approximate solution for the binary inputs, two-dimensional outputs channel.

Riemannian Optimization for Holevo Capacity Computing the Classical-Quantum channel capacity: experiments on a Blahut-Arimoto type algorithm and an approximate solution for the binary inputs, two-dimensional outputs channel

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:12:13.137504Z

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Observation 82f98351-fe91-4d8a-b5b5-2ac783053498 · outbound

This paper cites Computing quantum channel capacities,.

Riemannian Optimization for Holevo Capacity Computing quantum channel capacities,

Reference 25

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Observation 228195a7-56bc-4916-8711-25c22c7c52a9 · outbound

This paper cites Semidefinite approximations of the matrix logarithm,.

Riemannian Optimization for Holevo Capacity Semidefinite approximations of the matrix logarithm,

Reference 26

Resolution: verified exact; doi, observed 2026-08-10T18:12:12.778727Z

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Observation b457779d-7469-4f26-bb20-3d83378d4034 · outbound

This paper cites Efficient optimization of the quantum relative entropy,.

Riemannian Optimization for Holevo Capacity Efficient optimization of the quantum relative entropy,

Reference 27

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Observation cd29949b-f0a1-408f-a77e-ac049e2cac8e · outbound

This paper cites Absil, R.

Riemannian Optimization for Holevo Capacity Absil, R

Reference 28

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Observation 7d82c64f-aaf9-4322-9f37-fed9c93e90ce · outbound

This paper cites Boumal, An introduction to optimization on smooth manifolds.

Riemannian Optimization for Holevo Capacity Boumal, An introduction to optimization on smooth manifolds

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:12:13.515084Z

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Observation 199390e9-85cd-46b4-a302-f1774aaa34e5 · outbound

This paper cites Optimization on product manifolds under a preconditioned metric.

Riemannian Optimization for Holevo Capacity Optimization on product manifolds under a preconditioned metric

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T18:12:12.646699Z

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Observation ee224453-05e8-49e6-ae1d-ac3e2c7ea5df · outbound

This paper cites A bregman proximal perspective on classical and quantum Blahut–Arimoto algorithms,.

Riemannian Optimization for Holevo Capacity A bregman proximal perspective on classical and quantum Blahut–Arimoto algorithms,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:12:13.499533Z

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Observation c1ca537b-bde6-46ce-8da0-c1b4e6e84e8f · outbound

This paper cites Global rates of convergence for nonconvex optimization on manifolds,.

Riemannian Optimization for Holevo Capacity Global rates of convergence for nonconvex optimization on manifolds,

Reference 32

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Observation bfa4d1ba-5e77-4384-964b-8762733e94d4 · outbound

This paper cites Manopt, a Matlab toolbox for optimization on manifolds,.

Riemannian Optimization for Holevo Capacity Manopt, a Matlab toolbox for optimization on manifolds,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:12:13.484085Z

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Observation 1840eb1f-02a9-48ea-b018-4893cd59f57e · outbound

This paper cites Updates will be provided soon.

Riemannian Optimization for Holevo Capacity Updates will be provided soon

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:12:13.469226Z

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Observation 37c35ac6-4e99-4bf3-bd6a-2fd566bbb430 · outbound

This paper cites Quantum channels and their entropic characteristics,.

Riemannian Optimization for Holevo Capacity Quantum channels and their entropic characteristics,

Reference 35

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Observation e116b9e2-55a0-4e5f-bac2-6acef8d29ac0 · outbound

This paper cites Entanglement breaking channels,.

Riemannian Optimization for Holevo Capacity Entanglement breaking channels,

Reference 36

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T18:12:13.438084Z

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Observation c1065c2b-c283-48ae-ad0c-d7d6ed1c1d0d · outbound

This paper cites Separation between quantum Lovász number and entanglement-assisted zero-error classical capacity,.

Riemannian Optimization for Holevo Capacity Separation between quantum Lovász number and entanglement-assisted zero-error classical capacity,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:12:13.422689Z

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Observation a4a5b912-7a50-4adc-a168-14d7b62e15d9 · outbound

This paper cites The platypus of the quantum channel zoo,.

Riemannian Optimization for Holevo Capacity The platypus of the quantum channel zoo,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:12:13.405782Z

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Observation c095e32e-8113-4646-83f2-b372766d5178 · outbound

This paper cites Semidefinite optimization for quantum information,.

Riemannian Optimization for Holevo Capacity Semidefinite optimization for quantum information,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:12:13.390425Z

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Observation 0be0fa79-40c6-435b-a167-372fd3918e4a · outbound

This paper cites Semidefinite programming relaxations for quantum correlations,.

Riemannian Optimization for Holevo Capacity Semidefinite programming relaxations for quantum correlations,

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-10T18:12:12.700671Z

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Observation 5d12cce0-edeb-4a89-96fa-c367d1d32c57 · outbound

This paper cites Unified Framework for Calculating Convex Roof Resource Measures.

Riemannian Optimization for Holevo Capacity Unified Framework for Calculating Convex Roof Resource Measures

Reference 41

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:12:12.904677Z

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Observation 3b0f07f1-3a94-445f-9b04-646b060bf0c1 · outbound

This paper cites Finding Quantum Codes via Riemannian Optimization.

Riemannian Optimization for Holevo Capacity Finding Quantum Codes via Riemannian Optimization

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:12:12.881672Z

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Observation 85cab5d6-68ae-41d3-ae7c-dd73c3e24139 · outbound

This paper cites Available: https://link.aps.org/doi/10.1103/PhysRevA.

Riemannian Optimization for Holevo Capacity Available: https://link.aps.org/doi/10.1103/PhysRevA

Reference 1997

Resolution: malformed identifier; no resolver link, observed 2026-08-10T18:12:12.499393Z

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Unavailable: canonical work link unavailable.

Observation 92714fd2-7555-44fc-9843-79b2c00ee45c · outbound

This paper cites Properties of Conjugate Channels with Applications to Additivity and Multiplicativity.

Riemannian Optimization for Holevo Capacity Properties of Conjugate Channels with Applications to Additivity and Multiplicativity

Reference 2006

Resolution: unresolved; no resolver link, observed 2026-08-10T18:12:12.540305Z

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Observation 1e92d405-6537-4fe6-b1bd-6bd1cdff3c9d · outbound

This paper cites Available: http://dx.doi.org/10.1038/nphys1224.

Riemannian Optimization for Holevo Capacity Available: http://dx.doi.org/10.1038/nphys1224

Reference 2009

Resolution: unresolved; no resolver link, observed 2026-08-10T18:12:12.550219Z

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Observation 976a8a88-c464-4e5f-b0bb-c16189459309 · outbound

This paper cites Available: http://dx.doi.org/10.1109/TIT.2018.2794391.

Riemannian Optimization for Holevo Capacity Available: http://dx.doi.org/10.1109/TIT.2018.2794391

Reference 2018

Resolution: metadata mismatch; raw_fallback, observed 2026-08-10T18:12:13.027007Z

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Pith citing papers

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