Paper Citation Record · LEDGER

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution

As of 23 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2607.00266.

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

pith.paper-citation-record.v1
2607.00266 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-02T18:21:44.653629Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

26 of 26 outbound references displayed

verified exact2
verified fuzzy12
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 10f6f715-fbc2-4be3-8924-d18450151d2f · outbound

This paper cites an unresolved cited work.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-07-05T21:51:27.677129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8757c255-4a0c-4cdb-9985-863356f7ad65 · outbound

This paper cites The Hafnian Master Theorem,.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution The Hafnian Master Theorem,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T21:51:27.678856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9bfac592-7128-49f4-babb-35354acdfcab · outbound

This paper cites an unresolved cited work.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-07-05T21:51:27.682650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 143d0c3c-06a6-482e-808a-5177902ceffb · outbound

This paper cites Barvinok, Combinatorics and Complexity of Partition Functions, Algorithms and Combinatorics 30; Springer International Publishing AG: Cham, Switzerland, 2016.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Barvinok, Combinatorics and Complexity of Partition Functions, Algorithms and Combinatorics 30; Springer International Publishing AG: Cham, Switzerland, 2016

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T21:51:27.684601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 33f0f4da-9c3e-4db8-a4a8-d187f3d6f0eb · outbound

This paper cites Toda, ``PP is as hard as the polynomial-time hierarchy," SIAM J.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Toda, ``PP is as hard as the polynomial-time hierarchy," SIAM J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T21:51:27.688397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1c6e90c7-6fb9-432b-9108-60bbc2cc10ab · outbound

This paper cites Basu, ``A complex analog of Toda’s theorem," Found.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Basu, ``A complex analog of Toda’s theorem," Found

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T21:51:27.675048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7cf88504-e594-49ee-96e7-cfc8472c8112 · outbound

This paper cites The quantum-advantage resource in multimode OPA light: Identification, optimization, extraction.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution The quantum-advantage resource in multimode OPA light: Identification, optimization, extraction

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-07-02T18:37:16.371039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 73a69420-9543-4983-8342-b4310495a366 · outbound

This paper cites an unresolved cited work.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-07-05T21:51:27.676970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9af4eae4-b2af-48fb-939a-7b8ee0496f02 · outbound

This paper cites Serafini, Quantum Continuous Variables: A Primer of Theoretical Methods , 2nd ed.; CRC Press: Boca Raton, FL, USA, 2023.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Serafini, Quantum Continuous Variables: A Primer of Theoretical Methods , 2nd ed.; CRC Press: Boca Raton, FL, USA, 2023

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T21:51:27.671395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation be88d7c6-33e9-4749-908a-03569cf62e74 · outbound

This paper cites an unresolved cited work.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-07-05T21:51:27.668198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 776eca0d-ae71-4805-a4ad-c4dddd68ac4c · outbound

This paper cites Takeda, A.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Takeda, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T21:51:27.664059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 930e9ffb-e3a8-49f7-9fa9-90ddadbac3d2 · outbound

This paper cites an unresolved cited work.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-07-05T21:51:27.673071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7974213f-db17-46c2-8598-9cd9fcb7886c · outbound

This paper cites Zhong, Y.-H.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Zhong, Y.-H

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T21:51:27.680524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ac1f51a4-13dc-48f2-8f30-ca6fbcac1be5 · outbound

This paper cites Deshpande, A.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Deshpande, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T21:51:27.686366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ad5b946d-03ab-4665-80da-397749b0cb63 · outbound

This paper cites an unresolved cited work.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-07-05T21:51:27.669713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b0795685-0d62-4e94-8404-779717b96378 · outbound

This paper cites Deng, Y.-C.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Deng, Y.-C

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T21:51:27.707050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 83bcc40e-c87e-4095-bd23-9a6ddcf224d4 · outbound

This paper cites an unresolved cited work.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-07-05T21:51:27.705134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3b8922e1-f3bc-4844-a329-6e64fb22b655 · outbound

This paper cites an unresolved cited work.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-07-05T21:51:27.697971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 56862fbd-1f6d-4df9-b849-4f0de4e00e53 · outbound

This paper cites an unresolved cited work.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-07-05T21:51:27.695794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 197a435d-7ae8-4dd9-8a61-bf32135f53f6 · outbound

This paper cites an unresolved cited work.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-07-05T21:51:27.699528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d19c01f3-0a21-4b7d-bdc0-7c08d1dda3b7 · outbound

This paper cites Weedbrook, S.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Weedbrook, S

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T21:51:27.692230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 90a51a1d-83fc-441f-b9ed-7a67739acc92 · outbound

This paper cites Ben-Tal and A.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Ben-Tal and A

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T21:51:27.690583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f709ff80-be9f-4bab-a9b9-b89d390c7f10 · outbound

This paper cites Quantum complexity resource in Gaussian boson sampling: Core structure of the semidefinite program.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Quantum complexity resource in Gaussian boson sampling: Core structure of the semidefinite program

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-07-02T18:37:16.369943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e8ee27a9-1ace-4f62-9c05-0fc37e803630 · outbound

This paper cites Wielandt, Finite Permutation Groups, Academic Press (1964).

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Wielandt, Finite Permutation Groups, Academic Press (1964)

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T21:51:27.694127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 604bda32-2915-4ac1-a809-2e1e63dfbe61 · outbound

This paper cites an unresolved cited work.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-07-05T21:51:27.701244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6b3863bc-00d8-456e-bff9-98d2a54afb13 · outbound

This paper cites an unresolved cited work.

Quantum-advantage resource of a two-mode Gaussian state: Analytical theory of convex optimization and a Galois no-go for the closed-form solution Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-07-05T21:51:27.703195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

No inbound Pith citation observations are available.