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Paper Citation Record · LEDGER

A Three-Point Continuous-Variable Quantum MacWilliams Identity

As of 11 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2607.14920.

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

pith.paper-citation-record.v1
2607.14920 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T00:48:26.182528Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

28 of 28 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5c872fd9-e3e4-4595-b966-16a310ae2e03 · outbound

This paper cites SDP bounds on quantum codes: Rational certificates.

A Three-Point Continuous-Variable Quantum MacWilliams Identity SDP bounds on quantum codes: Rational certificates

Reference 1

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source=arxiv_source observed=2026-08-02T00:48:23.348211Z digest=sha256:970c0f39ce047b2512b6c89f505dfe057c53c16fbfb0ff4197539ed7ee18b0f2

Observation 0aaac7cc-e27a-4c47-9282-45687b1f8190 · outbound

This paper cites SDP bounds on quantum codes.

A Three-Point Continuous-Variable Quantum MacWilliams Identity SDP bounds on quantum codes

Reference 2

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source=arxiv_source observed=2026-08-02T00:48:23.431875Z digest=sha256:5f99a7d829b94305ff2315ef6f3377b0bb13364f908f50afa918929464f5291d

Observation 7aa6537f-caab-4c6d-a0f7-9167ca44bfb0 · outbound

This paper cites Brady, Alec Eickbusch, Shraddha Singh, Jing Wu, and Quntao Zhuang.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Brady, Alec Eickbusch, Shraddha Singh, Jing Wu, and Quntao Zhuang

Reference 3

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source=arxiv_source observed=2026-08-02T00:48:23.597875Z digest=sha256:867c872193ac508a34b5d15185d10cfef548dc168306a5b98d77f50e8e23fd79

Observation 58c3d738-d0ec-4103-8de3-17b17d3e8379 · outbound

This paper cites Continuous-Variable Quantum MacWilliams Identities.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Continuous-Variable Quantum MacWilliams Identities

Reference 4

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source=arxiv_source observed=2026-08-02T00:48:23.648471Z digest=sha256:65c062fd38e10547e7c4b32c4165d2f6acef6d4dfea67376cc8c064a9f9c7d92

Observation d4eabf57-e473-4e27-bb5a-c287557f3b5d · outbound

This paper cites New upper bounds for kissing numbers from semidefinite programming.

A Three-Point Continuous-Variable Quantum MacWilliams Identity New upper bounds for kissing numbers from semidefinite programming

Reference 5

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source=arxiv_source observed=2026-08-02T00:48:23.760700Z digest=sha256:1cb1a2097a5fd93c5df90f9c45eb9f777e4a596cee482c8df54a062d03dc4779

Observation 92e54dcb-c651-4ac0-8287-f67fe72327e1 · outbound

This paper cites Symplectic lattices and GKP codes --- simple randomized constructions from cryptographic lattices.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Symplectic lattices and GKP codes --- simple randomized constructions from cryptographic lattices

Reference 6

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source=arxiv_source observed=2026-08-02T00:48:23.827968Z digest=sha256:7410df60a041054819c3899821f93aa488ff544c7f99eb7d8200526b605f6983

Observation e54d3127-2673-42f2-89f7-60b4648acf8a · outbound

This paper cites Three-point bounds for sphere packing.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Three-point bounds for sphere packing

Reference 7

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source=arxiv_source observed=2026-08-02T00:48:23.919857Z digest=sha256:7f081dc1d1d9326424487a898ee2c7403cdb39b81943fea27b2f0c0c94d86a03

Observation 21b24ab0-a649-49d0-8c19-ad0ab56de609 · outbound

This paper cites New upper bounds on sphere packings I.

A Three-Point Continuous-Variable Quantum MacWilliams Identity New upper bounds on sphere packings I

Reference 8

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source=arxiv_source observed=2026-08-02T00:48:24.018516Z digest=sha256:16a984fb2c747a0408958631894a3dcce7d79f034f9605e26e1008526f2a0ec4

Observation eb1462fb-4774-4858-a84e-0454b33fd341 · outbound

This paper cites G ottesman-- K itaev-- P reskill codes: A lattice perspective.

A Three-Point Continuous-Variable Quantum MacWilliams Identity G ottesman-- K itaev-- P reskill codes: A lattice perspective

Reference 9

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source=arxiv_source observed=2026-08-02T00:48:24.130581Z digest=sha256:7fe522c4f613a3fb04902980f1c1c0f72a6f6b1f2f30d24fad004fcf3e1db488

Observation 2130db54-db57-4bc0-8353-842aaf601177 · outbound

This paper cites Good G ottesman-- K itaev-- P reskill codes from the NTRU cryptosystem.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Good G ottesman-- K itaev-- P reskill codes from the NTRU cryptosystem

Reference 10

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source=arxiv_source observed=2026-08-02T00:48:24.202991Z digest=sha256:9114336689f9b077397901d356d98232cfc80ccebb8c7621db6000c4de48be62

Observation b931272e-555a-4e7e-ba11-a2804fa1a187 · outbound

This paper cites Optimality and uniqueness of the L eech lattice among lattices.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Optimality and uniqueness of the L eech lattice among lattices

Reference 11

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source=arxiv_source observed=2026-08-02T00:48:24.307296Z digest=sha256:03e39d8ebe38765c017b2713313e90d6062229ba643fe8451708b78516c0ade4

Observation 3d8addc8-aedc-463b-bcff-a2f706838619 · outbound

This paper cites Miller, Danylo Radchenko, and Maryna Viazovska.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Miller, Danylo Radchenko, and Maryna Viazovska

Reference 12

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source=arxiv_source observed=2026-08-02T00:48:24.364420Z digest=sha256:2c20bfc575abd355fe6c389af23b58af80b09b4f905737753fd552f538555170

Observation 434cecd0-2bbd-4772-bc85-70d83660cd9d · outbound

This paper cites Encoding a qubit in an oscillator.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Encoding a qubit in an oscillator

Reference 13

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source=arxiv_source observed=2026-08-02T00:48:24.419993Z digest=sha256:3466179878c5be3589305d5c25c68791f9a69e0556b20e95079913380c731a6b

Observation 4af3b9b7-4786-4710-8977-06e2d69ceee5 · outbound

This paper cites The mixed-dimensional quantum MacWilliams identity: bounds for codes and absolutely maximally entangled states in heterogeneous systems.

A Three-Point Continuous-Variable Quantum MacWilliams Identity The mixed-dimensional quantum MacWilliams identity: bounds for codes and absolutely maximally entangled states in heterogeneous systems

Reference 14

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source=arxiv_source observed=2026-08-02T00:48:24.541287Z digest=sha256:f71dc9937886538eca96fe826fd20b1692bde88153bad2bbbd1f8ee9bc658dad

Observation 2a3872c3-4b03-4882-b84c-34ef64ef46f2 · outbound

This paper cites Bounds on absolutely maximally entangled states from shadow inequalities, and the quantum M ac W illiams identity.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Bounds on absolutely maximally entangled states from shadow inequalities, and the quantum M ac W illiams identity

Reference 15

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source=arxiv_source observed=2026-08-02T00:48:24.659856Z digest=sha256:ee0dda6031ccfbd02736f84c525ab33fcd5a640434b6893f7ede2623a8ad8d49

Observation 0acec141-4e0e-4a59-bbad-11e40ed780f4 · outbound

This paper cites Achievable rates for the G aussian quantum channel.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Achievable rates for the G aussian quantum channel

Reference 16

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source=arxiv_source observed=2026-08-02T00:48:24.779543Z digest=sha256:6f07e4da4af51e3fbb8424c9dd467f7441e3bc7f3b43af396ee0639796d9a303

Observation 37d530dd-7273-4356-aae7-b94ae4ec1c37 · outbound

This paper cites Kwon, Anthony J.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Kwon, Anthony J

Reference 17

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source=arxiv_source observed=2026-08-02T00:48:24.822293Z digest=sha256:7e4234aeba15bf9c8b66b853736f742aed8dd3e8e8747ddb321611f48e66a2f9

Observation b3659ae8-cf59-420a-96a9-403bfa934a42 · outbound

This paper cites MacWilliams Identities for Intrinsic Quantum Codes.

A Three-Point Continuous-Variable Quantum MacWilliams Identity MacWilliams Identities for Intrinsic Quantum Codes

Reference 18

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source=arxiv_source observed=2026-08-02T00:48:24.939354Z digest=sha256:3e30c08c227813798d4bce06eb904ae003d9e4baad4a0bea5431f968dc6a886e

Observation a30033cb-ca46-49f0-a4ac-17accc87d2e0 · outbound

This paper cites Bounding the set of quantum correlations.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Bounding the set of quantum correlations

Reference 19

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source=arxiv_source observed=2026-08-02T00:48:25.000388Z digest=sha256:9d7480ad77a7a83bf421656285dca2b5a07389c7f4e92598f358ae087cfe24ea

Observation 278d0f99-3824-4ee1-8751-63b7ed700fde · outbound

This paper cites A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations.

A Three-Point Continuous-Variable Quantum MacWilliams Identity A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations

Reference 20

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source=arxiv_source observed=2026-08-02T00:48:25.223337Z digest=sha256:ae67ef02dfe0326e2b68cd675842899860e5296c9bca4dc8f6f7767ca83c4223

Observation 9acc9a40-c075-4a39-9b6b-47dbc76df875 · outbound

This paper cites A Quantum Analog of Delsarte's Linear Programming Bounds.

A Three-Point Continuous-Variable Quantum MacWilliams Identity A Quantum Analog of Delsarte's Linear Programming Bounds

Reference 21

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source=arxiv_source observed=2026-08-02T00:48:25.372968Z digest=sha256:4bf72953b5d5bd8be994ea9b6920a1d2bde4887668a716466f31d9c08e062774

Observation 9494b0f0-7d90-4c20-82d7-3760878c9820 · outbound

This paper cites Linear programming bounds for approximate quantum error correction over arbitrary quantum channels.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Linear programming bounds for approximate quantum error correction over arbitrary quantum channels

Reference 22

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source=arxiv_source observed=2026-08-02T00:48:25.476883Z digest=sha256:8d4128780962bf929b9605f311b251f9d95a8a8a170f8dce0ac3d1bae518dbab

Observation bb12a699-c837-44e9-bb55-347ff24a7748 · outbound

This paper cites an unresolved cited work.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Unresolved cited work

Reference 23

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source=arxiv_source observed=2026-08-02T00:48:25.593202Z digest=sha256:d40b0225be3dd018f24a60ecf7da68dfb21a22475cb7bff2e1c3654a963b6c41

Observation ab3beaa7-1c74-4772-9c5f-f04764b9793d · outbound

This paper cites Schleich.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Schleich

Reference 24

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source=arxiv_source observed=2026-08-02T00:48:25.718396Z digest=sha256:51cf62a3903d0149b4897564c3e04b93dbb8240f2731089a1029c1e127426725

Observation 814bac0d-26e7-4088-8842-729840b2bc8a · outbound

This paper cites Shor and Raymond Laflamme.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Shor and Raymond Laflamme

Reference 25

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source=arxiv_source observed=2026-08-02T00:48:25.827547Z digest=sha256:b8c03ec9057446f1098b4753bdf27980253b1fb23ecb1c568d7952ba72abba3e

Observation f0ec3f38-2dfb-4ef0-96bd-6e79393f6ea6 · outbound

This paper cites Model-based and sample-efficient AI -assisted math discovery in sphere packing.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Model-based and sample-efficient AI -assisted math discovery in sphere packing

Reference 26

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source=arxiv_source observed=2026-08-02T00:48:25.899061Z digest=sha256:2d8993304f7ea65f515684ac8a45a97696cfcfbee41e0833ac299093ad6d8b68

Observation 89ce4457-6630-4d8f-a275-5e9b97c485f2 · outbound

This paper cites an unresolved cited work.

A Three-Point Continuous-Variable Quantum MacWilliams Identity Unresolved cited work

Reference 27

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source=arxiv_source observed=2026-08-02T00:48:26.022167Z digest=sha256:cf28aa6f62126c4b22659d7d4fcb369dade83f1ee6888f70e2a7dffb5f79919f

Observation 461ed182-0399-4ad3-aa5b-2d29d8988c37 · outbound

This paper cites The sphere packing problem in dimension 8.

A Three-Point Continuous-Variable Quantum MacWilliams Identity The sphere packing problem in dimension 8

Reference 28

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source=arxiv_source observed=2026-08-02T00:48:26.182528Z digest=sha256:0ded5cfc5a946288650d9db6e1a27fa6729e4fdeea5ea39ec86dfe6d6869dfcb

Pith citing papers

No inbound Pith citation observations are available.