Paper Citation Record · LEDGER

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes

As of 16 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2605.28784.

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

pith.paper-citation-record.v1
2605.28784 v1

Coverage vector

measured 42 of 42 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-29T09:40:19.624273Z

measured 43 of 43 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T05:52:48.575522Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

42 of 42 outbound references displayed

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Outbound references

Observation 0d71f14c-9787-4e48-a4e7-446c48e22393 · outbound

This paper cites Scaling and networking a modular photonic quantum computer.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Scaling and networking a modular photonic quantum computer

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation b38db7c8-9e27-4031-9aba-647dd9f5cddf · outbound

This paper cites Bargmann.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Bargmann

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 6867995c-8467-41e2-8992-f431fed78872 · outbound

This paper cites Bargmann.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Bargmann

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation ed0518c2-09b6-4eaa-8230-90abdd730088 · outbound

This paper cites Seshadri constants and periods of polarized abelian varieties.Math.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Seshadri constants and periods of polarized abelian varieties.Math

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation b71c2f48-3b4d-4375-831e-df8fb8ab9fc5 · outbound

This paper cites Springer-Verlag, Berlin, second edition, 2004.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Springer-Verlag, Berlin, second edition, 2004

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 265991dc-77cc-49f4-9ba4-3be163fdf8e0 · outbound

This paper cites Eli Bourassa, Rafael N.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Eli Bourassa, Rafael N

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 76f70564-832b-4eed-a1f0-9b65c5e7f58c · outbound

This paper cites Lifting level d-structures of abelian varieties.Archiv der Mathematik, 60(6):553–562, 1993.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Lifting level d-structures of abelian varieties.Archiv der Mathematik, 60(6):553–562, 1993

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 5124a3e9-2a67-48be-8f1b-b6dddf23e014 · outbound

This paper cites Fiber bundle fault tolerance of GKP codes.Quantum, 9:1899, 2025.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Fiber bundle fault tolerance of GKP codes.Quantum, 9:1899, 2025

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 096c89eb-7a27-4135-ad7d-a7eaadca6e6d · outbound

This paper cites Buser and P.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Buser and P

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation b02f5894-a722-48fb-a0ff-a2bee1c2c510 · outbound

This paper cites Quantum error correction of a qubit encoded in grid states of an oscillator.Nature, 584(7821):368–372, 2020.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Quantum error correction of a qubit encoded in grid states of an oscillator.Nature, 584(7821):368–372, 2020

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation efe31ece-d60e-4bcf-954b-0cffafe90e6b · outbound

This paper cites The fabulous world of GKP codes.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes The fabulous world of GKP codes

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-06-29T10:03:17.490968Z

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Observation 8ff7c65e-f5ee-475e-bdda-922197572e16 · outbound

This paper cites Lattices, Gates, and Curves: GKP codes as a Rosetta stone.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Lattices, Gates, and Curves: GKP codes as a Rosetta stone

Reference 12

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T10:03:17.493545Z

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Observation 5ad290f6-bf06-4931-9161-4c9592fdc8a3 · outbound

This paper cites Gottesman-kitaev-preskill codes: A lattice perspective.Quantum, 6:648, 2022.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Gottesman-kitaev-preskill codes: A lattice perspective.Quantum, 6:648, 2022

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 1de1738f-b2ef-4464-a092-0971bd2803be · outbound

This paper cites SL(2, Z).https://kconrad.math.uconn.edu/blurbs/grouptheory/SL(2,Z).pdf, n.d.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes SL(2, Z).https://kconrad.math.uconn.edu/blurbs/grouptheory/SL(2,Z).pdf, n.d

Reference 14

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Observation 555121fd-629a-4549-8540-4d63aa8b0698 · outbound

This paper cites an unresolved cited work.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Unresolved cited work

Reference 15

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Observation 39374720-d5ad-42c1-9690-9b0b3766d903 · outbound

This paper cites The klein quartic in number theory.The eightfold way, 35:51–101, 1999.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes The klein quartic in number theory.The eightfold way, 35:51–101, 1999

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 5493200f-79de-4843-94ad-31c3124621e5 · outbound

This paper cites Folland.Harmonic analysis in phase space, volume 122 ofAnnals of Mathematics Studies.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Folland.Harmonic analysis in phase space, volume 122 ofAnnals of Mathematics Studies

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation d04c535c-3c22-427e-982c-903c85c4edd7 · outbound

This paper cites On automorphisms of principally polarized abelian varieties.Geometriae Dedicata, 139(1):249– 258, 2009.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes On automorphisms of principally polarized abelian varieties.Geometriae Dedicata, 139(1):249– 258, 2009

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 4f6b632e-0489-452b-975b-0d242f094948 · outbound

This paper cites California Institute of Technology, 1997.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes California Institute of Technology, 1997

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 533d96aa-18cf-438d-8787-3e4f3f6cb5da · outbound

This paper cites Encoding a qubit in an oscillator.Phys.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Encoding a qubit in an oscillator.Phys

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 79239eec-cb43-47f1-b34a-0f2146347735 · outbound

This paper cites Achievable rates for the gaussian quantum channel.Phys.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Achievable rates for the gaussian quantum channel.Phys

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 93379378-cc07-4dca-b342-c36b6dc0a0cf · outbound

This paper cites Analysis of loss correction with the Gottesman-Kitaev-Preskill code.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Analysis of loss correction with the Gottesman-Kitaev-Preskill code

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-06-29T10:03:17.488236Z

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Observation 7b591ecf-9527-4cc0-9c20-6b9846b36ef4 · outbound

This paper cites Stabilizer states and clifford operations for systems of arbitrary dimen- sions and modular arithmetic.Phys.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Stabilizer states and clifford operations for systems of arbitrary dimen- sions and modular arithmetic.Phys

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 88aa25a3-c276-40f7-bc6d-b0cc5a988ccc · outbound

This paper cites Autonomous Quantum Error Correction of Gottesman-Kitaev-Preskill States.Physical Review Letters, 132(15), 2024.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Autonomous Quantum Error Correction of Gottesman-Kitaev-Preskill States.Physical Review Letters, 132(15), 2024

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation a3ae5a69-d817-4ac9-8d0e-bce2334a6f95 · outbound

This paper cites an unresolved cited work.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation d1a00926-7da2-46c6-9a7c-3ae6d64f6ea1 · outbound

This paper cites Geometric methods for improving the upper bounds on the number of rational points on algebraic curves over finite fields.J.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Geometric methods for improving the upper bounds on the number of rational points on algebraic curves over finite fields.J

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 7c0d861a-5f82-4546-aebb-4d085b6c83bc · outbound

This paper cites Lengths of periods and Seshadri constants of abelian varieties.Math.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Lengths of periods and Seshadri constants of abelian varieties.Math

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation ec05d89d-15b2-4d1b-8f91-e923643f5efc · outbound

This paper cites Frattini, Florian Hopfmueller, Chloe Gauvin-Ndiaye, Julien Camirand-Lemyre, and Philippe St-Jean.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Frattini, Florian Hopfmueller, Chloe Gauvin-Ndiaye, Julien Camirand-Lemyre, and Philippe St-Jean

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 7d822779-c3ed-4064-b2da-1ff2d583841d · outbound

This paper cites Cambridge University Press, 2001.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Cambridge University Press, 2001

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 6962b151-a893-4d43-8c03-e7d5cdb228c5 · outbound

This paper cites Springer Science & Business Media, 1991.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Springer Science & Business Media, 1991

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 690349e5-4fc4-40b0-820d-e0df69638d03 · outbound

This paper cites Action of the automorphism group on the Jacobian of Klein’s quartic curve.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Action of the automorphism group on the Jacobian of Klein’s quartic curve

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 640b7bcf-65f4-4d08-be0c-2218f02d5a6d · outbound

This paper cites Universal quantum gate set for gottesman–kitaev–preskill logical qubits.Nature Physics, 21(10):1664–1669, 2025.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Universal quantum gate set for gottesman–kitaev–preskill logical qubits.Nature Physics, 21(10):1664–1669, 2025

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 50c80a15-3391-4d3c-acac-a549b875bbe2 · outbound

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Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Unresolved cited work

Reference 33

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Observation e8a16fce-42e3-4fec-b4e9-49c32dac1422 · outbound

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Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Unresolved cited work

Reference 34

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Observation 19b927d4-6b68-45d2-8043-977ab2d6dd7d · outbound

This paper cites an unresolved cited work.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 2f99cd7b-4557-4646-9f16-029f40ed0275 · outbound

This paper cites Cambridge university press, 2010.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Cambridge university press, 2010

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation e2c52128-150e-4b65-88fb-671c822e25ed · outbound

This paper cites Quantum capacity bounds of gaussian thermal loss channels and achievable rates with gottesman-kitaev-preskill codes.IEEE Transactions on Information Theory, 65(4):2563–2582, 2018.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Quantum capacity bounds of gaussian thermal loss channels and achievable rates with gottesman-kitaev-preskill codes.IEEE Transactions on Information Theory, 65(4):2563–2582, 2018

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation b61cc74e-f5c7-47b7-ba12-d742f36e2f51 · outbound

This paper cites Cambridge University Press, Cambridge, 2003.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Cambridge University Press, Cambridge, 2003

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 4a53f0a1-edd4-458c-bea9-801089af8ee8 · outbound

This paper cites Encoding qubits in multimode grid states.PRX Quantum, 3(1):010335, 2022.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Encoding qubits in multimode grid states.PRX Quantum, 3(1):010335, 2022

Reference 39

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Observation 4021ff66-cd7c-4cfa-bc71-886e15fc8f13 · outbound

This paper cites Real-time quantum error correction beyond break-even.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Real-time quantum error correction beyond break-even

Reference 40

Resolution: unresolved; no resolver link, observed 2026-06-29T09:40:19.624273Z

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Observation 552b27e7-e475-46cf-ad36-a238c14b256e · outbound

This paper cites Efficient classical simulations of quantum Fourier transforms and normalizer circuits over Abelian groups.Quantum Inf.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Efficient classical simulations of quantum Fourier transforms and normalizer circuits over Abelian groups.Quantum Inf

Reference 41

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Observation f356865d-7617-4f25-b9e2-cb5b6fd2b947 · outbound

This paper cites Gaussian quantum information.Reviews of modern physics, 84(2):621–669, 2012.

Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes Gaussian quantum information.Reviews of modern physics, 84(2):621–669, 2012

Reference 42

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Pith citing papers

Observation 161801bf-95ee-4fdc-be1b-06f3799785a7 · inbound

A diagrammatic field theory of quantum error correction cites this paper.

A diagrammatic field theory of quantum error correction Complex abelian varieties and quantum error correction: a mathematical framework for GKP codes

Reference 68

Resolution: unresolved; no resolver link, observed 2026-07-13T05:52:48.575522Z

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