Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T21:20:17.688141Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 1 inbound Pith citation observation for arXiv:2502.09514.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T21:20:17.688141Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T00:48:23.648471Z
A source-named dated measurement, never combined with another source.
Source: cited_works
55 of 55 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation fe9bbd9c-a6ec-4841-979d-2a2fa13a7b7f · outbound
Continuous-Variable Quantum MacWilliams Identities Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7e7ae116-d3f8-43e3-a414-2264477e7bf7 · outbound
Continuous-Variable Quantum MacWilliams Identities A Theorem on the Distribution of Weights in a Systematic Code
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 40b6dcb6-502e-4284-9c81-cb10c4c1a384 · outbound
Continuous-Variable Quantum MacWilliams Identities The MacWilliams Identities for Nonlinear Codes
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3296b3fc-b79b-4b79-9204-b01a98600e26 · outbound
Continuous-Variable Quantum MacWilliams Identities Quantum Analog of the MacWilliams Identities for Classical Coding Theory
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c3ec3286-3489-4fa7-9936-0dc5878da771 · outbound
Continuous-Variable Quantum MacWilliams Identities Bounds for Unrestricted Codes, by Linear Programming
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 165c8b23-4c34-41db-bcae-2d9d1af2e010 · outbound
Continuous-Variable Quantum MacWilliams Identities New Upper Bounds on the Rate of a Code via the Delsarte-MacWilliams Inequalities
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9368a301-d6b7-4f5f-a51d-3d2d8142f9e9 · outbound
Continuous-Variable Quantum MacWilliams Identities Upper Bounds on the Size of Quantum Codes
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b09ce53f-1222-4073-a332-e5cf56619755 · outbound
Continuous-Variable Quantum MacWilliams Identities New Upper Bounds on Sphere Packings I
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3148a442-2807-4478-adcb-2caa99ed820d · outbound
Continuous-Variable Quantum MacWilliams Identities Sphere Packing Bounds via Spherical Codes
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 41ec3d12-5096-44a6-ba1a-d12a80691186 · outbound
Continuous-Variable Quantum MacWilliams Identities The Sphere Packing Problem in Dimension 8
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 05534863-027d-45e3-9bfb-ac2a38031056 · outbound
Continuous-Variable Quantum MacWilliams Identities From Sphere Packing to Fourier Interpolation
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a1db0682-1342-4d65-89dc-670b542d13ce · outbound
Continuous-Variable Quantum MacWilliams Identities Packing, coding, and ground states
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cda1249c-e684-4dcf-880c-69cf49bd29d8 · outbound
Continuous-Variable Quantum MacWilliams Identities The Sphere Packing Problem
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dc7c8481-dcd3-44bd-990b-915e0400b786 · outbound
Continuous-Variable Quantum MacWilliams Identities Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9aadb478-f4fd-4f5e-86f3-fc1afeea1ab0 · outbound
Continuous-Variable Quantum MacWilliams Identities Quantum Continuous Variables: A Primer of Theoretical Methods
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 656d6d6e-2351-46d1-a27c-13e65dd9fc21 · outbound
Continuous-Variable Quantum MacWilliams Identities Gaussian Quantum Information
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f1127e5a-691f-4674-b42c-7c48d9ac90cd · outbound
Continuous-Variable Quantum MacWilliams Identities Bosonic coding: introduction and use cases
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b89aaa56-90f8-473e-b40c-3bd6432d763f · outbound
Continuous-Variable Quantum MacWilliams Identities Advances in Bosonic Quantum Error Correction with Gottesman-Kitaev- Preskill Codes: Theory, Engineering and Applications
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bc07be49-b88f-410d-a16c-2457c4ec7158 · outbound
Continuous-Variable Quantum MacWilliams Identities Towards Scalable Bosonic Quan- tum Error Correction
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 94bb408c-2698-40dc-8931-c3d3b7f6d9f6 · outbound
Continuous-Variable Quantum MacWilliams Identities Gottesman-Kitaev-Preskill Codes: A Lattice Perspective
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ba0195cd-a15a-4a8a-8597-732cb645318f · outbound
Continuous-Variable Quantum MacWilliams Identities Andrews, Richard Askey, and Ranjan Roy
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 87341f1f-e29e-42a9-96d5-0f7d4f8e4f6d · outbound
Continuous-Variable Quantum MacWilliams Identities An Introduction to Group Representations and Orthogonal Polynomials
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 16f03798-b094-43b4-8d12-5413e63913fa · outbound
Continuous-Variable Quantum MacWilliams Identities A Krawtchouk Polynomial Addition Theorem and Wreath Products of Sym- metric Groups
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation eb281432-dae7-4666-ba7e-c2d160d98df3 · outbound
Continuous-Variable Quantum MacWilliams Identities Barnett and Paul M
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fda61d7e-b5fc-4158-bd28-2aece369f310 · outbound
Continuous-Variable Quantum MacWilliams Identities Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 90b5d348-e14a-40d4-b46b-76b3b78e8138 · outbound
Continuous-Variable Quantum MacWilliams Identities Encoding a Qubit in an Oscillator
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c97de7f1-3e94-4378-be36-7e7488bd161a · outbound
Continuous-Variable Quantum MacWilliams Identities Burchards, Steven T
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 09afeb68-079e-4e78-9c44-4a37acf43475 · outbound
Continuous-Variable Quantum MacWilliams Identities Stabilizer Codes and Quantum Error Correction
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8afb56da-8fc1-4511-baae-cfa2b208c537 · outbound
Continuous-Variable Quantum MacWilliams Identities Theta Functions and Weighted Theta Functions of Euclidean Lattices, with Some Applications
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation da534b8b-9c67-4dc1-9e31-93cc3cdacbdd · outbound
Continuous-Variable Quantum MacWilliams Identities Good Gottesman-Kitaev-Preskill Codes from the NTRU Cryptosystem
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation aeada0f8-ed53-42ae-86bd-e7da99b6fe8b · outbound
Continuous-Variable Quantum MacWilliams Identities Bounds on Absolutely Maximally Entangled States from Shadow Inequalities, and the Quantum MacWilliams Identity
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0b6abd56-54ce-4d63-bf5a-de7e78162c0a · outbound
Continuous-Variable Quantum MacWilliams Identities A Theory of Quantum Error-Correcting Codes
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 408707c8-0262-482e-9aba-e467ffca99a7 · outbound
Continuous-Variable Quantum MacWilliams Identities Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0e31a2d9-7201-4029-8f3a-7c057514aac7 · outbound
Continuous-Variable Quantum MacWilliams Identities Sending Entanglement through Noisy Quantum Channels
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 27e7d257-e876-4855-933f-4d66545e4741 · outbound
Continuous-Variable Quantum MacWilliams Identities On Bounds for Packings in N-Dimensional Euclidean Space
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e56100cf-bc41-4614-8e2f-9f414144418d · outbound
Continuous-Variable Quantum MacWilliams Identities On Bounds for Packings on a Sphere and in Space
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 55cdd9b4-feb5-442b-b9bf-a0e5a5e48390 · outbound
Continuous-Variable Quantum MacWilliams Identities The Sphere Packing Problem in Dimension 24
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ee32455e-c912-4a50-b8f8-3c467e2b17de · outbound
Continuous-Variable Quantum MacWilliams Identities Optimality and Uniqueness of the Leech Lattice among Lat- tices
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 976e1929-3212-459c-bcb9-cb095d578db2 · outbound
Continuous-Variable Quantum MacWilliams Identities Quantum Shadow Enumerators
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b463eb8a-9371-4288-909a-3c1a1268e02b · outbound
Continuous-Variable Quantum MacWilliams Identities Linear Programming Bounds for Approximate Quantum Error Correction Over Arbitrary Quantum Channels
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7b3547f2-db8c-460e-9662-b5c68211b061 · outbound
Continuous-Variable Quantum MacWilliams Identities A Quantum Analog of Delsarte’s Linear Programming Bounds
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ee238503-b48f-4057-9b9d-6afa65a1d1d7 · outbound
Continuous-Variable Quantum MacWilliams Identities Semidefinite programming, harmonic analysis and coding theory
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 87649cc3-49aa-446f-9301-b1898bf4c5f0 · outbound
Continuous-Variable Quantum MacWilliams Identities New Code Upper Bounds from the Terwilliger Algebra and Semidefinite Program- ming
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d759a271-dd46-4edb-aa64-33f7c0fc36c1 · outbound
Continuous-Variable Quantum MacWilliams Identities SDP bounds on quantum codes
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c11f1740-271e-4801-b4b8-902880838460 · outbound
Continuous-Variable Quantum MacWilliams Identities Three-point bounds for sphere packing
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f373f7a3-4387-429a-a137-97362c1fc1a8 · outbound
Continuous-Variable Quantum MacWilliams Identities Quantum Error Detection .I. Statement of the Problem
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 94fb6d5c-04ef-4d97-b371-92cae89dfcca · outbound
Continuous-Variable Quantum MacWilliams Identities Fidelity Lower Bounds for Stabilizer and CSS Quantum Codes
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5780084f-67ff-42ba-827d-57cf72d492c9 · outbound
Continuous-Variable Quantum MacWilliams Identities Signed Quantum Weight Enumerators Characterize Qubit Magic State Distillation
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 50c1c23c-f611-46f2-8821-134420e9f0b1 · outbound
Continuous-Variable Quantum MacWilliams Identities Invariant Theory and Magic State Distillation
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 083f2b1f-f943-4777-b4e4-de984eafaf63 · outbound
Continuous-Variable Quantum MacWilliams Identities Multipartite Entanglement, Quantum-Error-Correcting Codes, and Entangling Power of Quantum Evolutions
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 60ecef2e-c49d-41e4-a327-fc98f9a82100 · outbound
Continuous-Variable Quantum MacWilliams Identities Shor–Laflamme Distributions of Graph States and Noise Robustness of Entanglement
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2030fcdf-dd27-4702-a469-170a81167b90 · outbound
Continuous-Variable Quantum MacWilliams Identities Experimental measurement and a physical interpretation of quantum shadow enumerators
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c0531897-0ced-4678-ab40-c4934fd664bc · outbound
Continuous-Variable Quantum MacWilliams Identities Stabilization of Finite-Energy Gottesman- Kitaev-Preskill States
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation da4e572b-eb20-4bbe-a8c8-d3bd05f79eff · outbound
Continuous-Variable Quantum MacWilliams Identities Equivalence of Approximate Gottesman- Kitaev-Preskill Codes
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ba10a2a0-9281-4720-8d1d-fc684790d051 · outbound
Continuous-Variable Quantum MacWilliams Identities Let us further denote by λ⊥ 1 the norm of shortest nonzero vector in L⊥
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 58c3d738-d0ec-4103-8de3-17b17d3e8379 · inbound
A Three-Point Continuous-Variable Quantum MacWilliams Identity Continuous-Variable Quantum MacWilliams Identities
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.