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Paper Citation Record · LEDGER

Quantum Hamming Metrics

As of 8 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2507.23046.

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

pith.paper-citation-record.v1
2507.23046 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:18:19.484016Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:30:45.396463Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T14:30:45.431020Z

Reference resolution

37 of 37 outbound references displayed

  • verified exact2
  • verified fuzzy29
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cc0a9765-5423-492a-9ce0-83656c7bae67 · outbound

This paper cites On embedding uniform and topological spaces.

Quantum Hamming Metrics On embedding uniform and topological spaces

Reference 1

Resolution
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.359221Z digest=sha256:4fa5ebd0ed8a33d9afeeb7b5cfa44062b9661321cc39499dcf8e7d5683f70353

Observation 6a3d8ad6-0f32-4ab2-a32d-c7a95442a6e5 · outbound

This paper cites Interpolation problems in nest algebras.

Quantum Hamming Metrics Interpolation problems in nest algebras

Reference 2

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.363207Z digest=sha256:fbcf900d285624f903e89bbe16d622ea2042679d307dfe008ac25be0ce1b6aa5

Observation 76e86210-d04b-46d6-b7ff-ef0c113edb68 · outbound

This paper cites Wasserstein Distances on Quantum Structures: an Overview.

Quantum Hamming Metrics Wasserstein Distances on Quantum Structures: an Overview

Reference 3

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:18:19.366840Z digest=sha256:98f97ba6d2832c14af6449dc67d1fd658b92ed2d1c8c93e615eeb6e502335abc

Observation 2b43c4a5-8898-4462-a724-955690271d60 · outbound

This paper cites C*-Algebras and Finite-Dimensional Ap- proximations, volume 88.

Quantum Hamming Metrics C*-Algebras and Finite-Dimensional Ap- proximations, volume 88

Reference 4

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raw_fallback, observed 2026-08-06T11:18:24.856268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.370792Z digest=sha256:a4ff0829622fbdfe67fd5e2f0dd3d954c1a6a01863a8f3be6cbf7dcece07e49d

Observation 433b2d89-9e8c-4462-9cc0-55b1cb224294 · outbound

This paper cites Perturbations of operator algebras.

Quantum Hamming Metrics Perturbations of operator algebras

Reference 5

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.374202Z digest=sha256:26aa1025e9719b722564da4c6dff6afd49eef93ff195abe9cb9e9606631c7589

Observation 5e70fe76-ace0-4e4a-9e0f-53922cc76c1d · outbound

This paper cites Classical shadows meet quantum optimal mass transport.

Quantum Hamming Metrics Classical shadows meet quantum optimal mass transport

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.377536Z digest=sha256:0233e478488ac3f83017f810ba54c747e2e89c8e45e6f9d91989cc61ae1f432d

Observation 66e60f19-0c53-460d-81f9-d02bb91563f3 · outbound

This paper cites The quantum Wasser- stein distance of order 1.

Quantum Hamming Metrics The quantum Wasser- stein distance of order 1

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.381149Z digest=sha256:b85e6c81137054697d5e2c8fc70d380fa7a433cbd5af9f19bd05f1606caf8729

Observation e15fefc5-c77a-4d63-bc07-59587b4a96ed · outbound

This paper cites Quantum concentration inequalities.

Quantum Hamming Metrics Quantum concentration inequalities

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.384127Z digest=sha256:0cbc184dd503b19a2a09a762eba892198914f0a2a0bb60b100b18d48ad887afb

Observation c0a21a14-25bf-442b-9826-7ee511a959a9 · outbound

This paper cites The Wasserstein distance of order 1 for quantum spin systems on infinite lattices.

Quantum Hamming Metrics The Wasserstein distance of order 1 for quantum spin systems on infinite lattices

Reference 9

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raw_fallback, observed 2026-08-06T11:18:23.880910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.387203Z digest=sha256:54350a923a3ddc3fd9a4570877414c1f1c72471b856797e902d32c1fe5c74800

Observation a5dc378d-c31a-49d2-b821-e450807bd4b1 · outbound

This paper cites Lipschitz-free spaces on finite metric spaces.

Quantum Hamming Metrics Lipschitz-free spaces on finite metric spaces

Reference 10

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.390231Z digest=sha256:41400a7973446f7f3ebb3bb0fe2da39a82a2d9a24017b951aaa2e6b4c60328c1

Observation 6666dc14-a86d-4907-8794-cafb60d93fd8 · outbound

This paper cites Sur un th´ eor` eme de Banach.Duke Math.

Quantum Hamming Metrics Sur un th´ eor` eme de Banach.Duke Math

Reference 11

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.393349Z digest=sha256:7a43db8e981c1e163dd8434a70e8b26a7fdf5321fa5c432c38a18f56e6aa0226

Observation eb9716a4-9202-4918-b2b0-abd53bd081a0 · outbound

This paper cites A simple proof in Monge–Kantorovich duality theory.

Quantum Hamming Metrics A simple proof in Monge–Kantorovich duality theory

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.396661Z digest=sha256:7b3b1b1dde8009ef4826ffd60f1088f5514e6dc3dc7ece77f215bf99f4d98893

Observation fb68ce35-998a-48d5-ae84-72a106f709e7 · outbound

This paper cites On the Kantorovich–Rubinstein theorem.

Quantum Hamming Metrics On the Kantorovich–Rubinstein theorem

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.399760Z digest=sha256:9fa342a386b91027c050a6864d8c810d96018749ef20db54f8b0e1c45f8c7736

Observation 2f86c2ee-6891-4d82-8659-3b2ae4039d12 · outbound

This paper cites Gracia-Bondia, Joseph C.

Quantum Hamming Metrics Gracia-Bondia, Joseph C

Reference 14

Resolution
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.403386Z digest=sha256:670fbf6cbcc2c826f62826e3e4a82a87e9d9013cf3284dce0bbc097c28b2f733

Observation b13a0749-78af-400b-ad64-6f3e2ca2115c · outbound

This paper cites Quantum differential pri- vacy: An information theory perspective.

Quantum Hamming Metrics Quantum differential pri- vacy: An information theory perspective

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:18:22.903704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.406309Z digest=sha256:853530410ced26ab31e216217f96d2ae3d3b603528f213192914343bada43c4a

Observation a856ec64-3092-4630-8be2-ed3d07bc6f86 · outbound

This paper cites Channel divergences and complexity in algebraic QFT.

Quantum Hamming Metrics Channel divergences and complexity in algebraic QFT

Reference 16

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.409254Z digest=sha256:4a8a51efc7e5bc23428645332c21edacdf4ac3d75f996f4ea923054c5fcd6dc5

Observation 122b4600-6999-4d78-8013-2ecd955dce42 · outbound

This paper cites Kadison and John R.

Quantum Hamming Metrics Kadison and John R

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.412201Z digest=sha256:dbecb4bcaa03aacb2679766e7a3fc57dbce473cc93070b421ac3d982d1a04e17

Observation cdbe686c-290c-4801-9438-01d76b41735b · outbound

This paper cites Learning quantum data with the quantum earth mover’s distance.

Quantum Hamming Metrics Learning quantum data with the quantum earth mover’s distance

Reference 18

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.415088Z digest=sha256:2e11837bb0c8ba092703ff41fd843ff035592c462be781042c882dd7d51a3026

Observation ba45bce2-724a-41fa-921f-725a8c3b0a40 · outbound

This paper cites A von Neumann algebra approach to quantum metrics , volume 215 of Mem.

Quantum Hamming Metrics A von Neumann algebra approach to quantum metrics , volume 215 of Mem

Reference 19

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.418008Z digest=sha256:fd4f1078b7caf7c201cca0d841673c66354bbefc00a36ec40bb454449d69ee09

Observation 625046b7-d904-4ad3-8d74-a0dfd65467e1 · outbound

This paper cites Testing the necessity of complex numbers in traditional quantum theory with quantum computers.

Quantum Hamming Metrics Testing the necessity of complex numbers in traditional quantum theory with quantum computers

Reference 20

Resolution
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.421943Z digest=sha256:8c5523de7c61e91db876901492d3169e029bded0eef1dc5b408e1b5e93bb4980

Observation 80841708-2123-4c4b-8ba7-c2909e5aa464 · outbound

This paper cites Kantorovich distance on a finite metric space.

Quantum Hamming Metrics Kantorovich distance on a finite metric space

Reference 21

Resolution
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no resolver link, observed 2026-08-06T11:18:19.425085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:18:19.425085Z digest=sha256:3f27479c33b097f3952c6a5f349fe9c37d5c8da4b005100413f2f95284fd79f5

Observation 9d03b1fc-9c53-4aa7-8dc4-a1fd12f564f3 · outbound

This paper cites Isometric structure of transportation cost spaces on finite metric spaces.

Quantum Hamming Metrics Isometric structure of transportation cost spaces on finite metric spaces

Reference 22

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.428428Z digest=sha256:fb698228f75752b98414915a171a8ee4ee9a6b348928850bfda5ecbce50a89a0

Observation fa053a08-9a73-4507-80c7-42349d1932cd · outbound

This paper cites Pedersen.

Quantum Hamming Metrics Pedersen

Reference 23

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.431893Z digest=sha256:e79bb2af66eb079301977474db376a36fcb4b46d383533addaa63fc2c24c9810

Observation dbe44e5e-a44a-4777-af5d-a5b2f3b5ee9a · outbound

This paper cites Quantum Wasserstein distance between unitary operations.

Quantum Hamming Metrics Quantum Wasserstein distance between unitary operations

Reference 24

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raw_fallback, observed 2026-08-06T11:18:21.544743Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.435588Z digest=sha256:23a4b8c0626cec53677e1548c79c2052429cc1cd13452ad551918c09e0d704a9

Observation 8f9f91b6-ee6d-4886-a011-4d83d17f3138 · outbound

This paper cites Quantum physics falls apart without imaginary numbers.

Quantum Hamming Metrics Quantum physics falls apart without imaginary numbers

Reference 25

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.439582Z digest=sha256:4052bbd286e6e8cdf737283019692dff23d6d47d60b5c431096629cd6930714f

Observation 754c7869-ebf2-4b35-bcb9-6e0882500cde · outbound

This paper cites an unresolved cited work.

Quantum Hamming Metrics Unresolved cited work

Reference 26

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raw_fallback, observed 2026-08-06T11:18:21.114756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.442708Z digest=sha256:d95565e6198595c86627a2dcb5541d596df385273383379bf56f8dfa666f7b25

Observation 2fc16aca-d2d9-4e2c-b2db-b8dd14c92f68 · outbound

This paper cites an unresolved cited work.

Quantum Hamming Metrics Unresolved cited work

Reference 27

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no resolver link, observed 2026-08-06T11:18:19.449521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:18:19.449521Z digest=sha256:94f0293821ea2521d3622cccc1384b24b2efb9650343e2685b6834fbecb1f02c

Observation d345017c-aece-44db-a190-367a7505ea6c · outbound

This paper cites Leibniz Seminorms and Best Approximation from C*-subalgebras.

Quantum Hamming Metrics Leibniz Seminorms and Best Approximation from C*-subalgebras

Reference 28

Resolution
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local_arxiv, observed 2026-08-06T11:18:19.550706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.452633Z digest=sha256:ef201a9ef3d05321534afc81da21e49774eca47b85843cf5be2655bd272d20ca

Observation 96ec672d-baa4-4433-bf6b-e2973728e138 · outbound

This paper cites Leibniz seminorms for "Matrix algebras converge to the sphere".

Quantum Hamming Metrics Leibniz seminorms for "Matrix algebras converge to the sphere"

Reference 29

Resolution
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local_arxiv, observed 2026-08-06T11:18:19.525536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.456001Z digest=sha256:fe37b13d38eafd447ab8133e1715095c35163f67eb2e371b4e2fcebc4b86dcb9

Observation 92001cc6-b762-4cb7-a338-6e40116b2670 · outbound

This paper cites Learning quantum many-body systems from a few copies.

Quantum Hamming Metrics Learning quantum many-body systems from a few copies

Reference 30

Resolution
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raw_fallback, observed 2026-08-06T11:18:20.809947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.459536Z digest=sha256:d3a7d2c450bf0a5c9825b3c0cfb6ae33fd090bd405afb4865b02ef6721bbeabc

Observation 2abaab1e-f8d2-45b0-992c-d37e1d3a234f · outbound

This paper cites Lecture notes on mathematical aspects of quantum information theory.

Quantum Hamming Metrics Lecture notes on mathematical aspects of quantum information theory

Reference 31

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raw_fallback, observed 2026-08-06T11:18:20.584937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.462905Z digest=sha256:af632f8c34bd448e7f340b37b36587499f4d9fc474651367bedd9ceac3c584d1

Observation 82c979ee-822b-4889-90b3-83d772735929 · outbound

This paper cites Bollettino dell’Unione Matematica Ital- iana, 18(1):347–360, 2025.

Quantum Hamming Metrics Bollettino dell’Unione Matematica Ital- iana, 18(1):347–360, 2025

Reference 32

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raw_fallback, observed 2026-08-06T11:18:20.423598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.470489Z digest=sha256:71c72c4e3a257eb60f5a5219ab4b34dcd1d16aff9ab8bb1bcc16fbc309147305

Observation 880af8a6-f547-4ef3-b77c-01cd68c42429 · outbound

This paper cites PhD thesis, Ph.

Quantum Hamming Metrics PhD thesis, Ph

Reference 33

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raw_fallback, observed 2026-08-06T11:18:20.188554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.474570Z digest=sha256:4935e539306a2a9715303987bcff3cb3b9eb630b2e55a4a6eccaee8daf25a8a5

Observation cdbd3514-4d92-4492-97e1-b5994740d922 · outbound

This paper cites Lipschitz algebras.

Quantum Hamming Metrics Lipschitz algebras

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-06T11:18:19.477681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:18:19.477681Z digest=sha256:e07e93f6535a93e6a3ec1ea9c5eff64d71e62cfcda4c22b30053acd7b3fb35c6

Observation c936c883-c068-4a69-b529-97487ba3a2fb · outbound

This paper cites On the unique predual problem for Lipschitz spaces.

Quantum Hamming Metrics On the unique predual problem for Lipschitz spaces

Reference 35

Resolution
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raw_fallback, observed 2026-08-06T11:18:19.948054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.481049Z digest=sha256:3e48ab6c7a4658320f0156edfbdad2f52dad619275134681ae336de7fd14876e

Observation 20de736d-a27d-4f39-b9ad-4a6439b83a86 · outbound

This paper cites Improving the speed of variational quantum algorithms for quantum error correction.

Quantum Hamming Metrics Improving the speed of variational quantum algorithms for quantum error correction

Reference 36

Resolution
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raw_fallback, observed 2026-08-06T11:18:19.825782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T11:18:19.484016Z digest=sha256:c5afd07c6306d49b5681de3a21cb1a02717c44a2f53915ca477968ba9cb85dbd

Observation def247c8-f338-43ad-9367-b4e139e226a5 · outbound

This paper cites an unresolved cited work.

Quantum Hamming Metrics Unresolved cited work

Reference 1998

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no resolver link, observed 2026-08-06T11:18:19.446163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:18:19.446163Z digest=sha256:6a45317c75804283c722d1e7f0581a916a776694c638f50cb340a8c2f65ac984

Pith citing papers

Observation 0cadb685-1a8f-45a9-8cac-6db607951acf · inbound

Quantum Wasserstein distances for quantum permutation groups cites this paper.

Quantum Wasserstein distances for quantum permutation groups Quantum Hamming Metrics

Reference 1990

Resolution
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