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Paper Citation Record · LEDGER

Covariant Approximate Quantum Codes for Protected Analog Computation

As of 5 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2607.07607.

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

pith.paper-citation-record.v1
2607.07607 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-09T06:31:38.257634Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T09:24:18.377784Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved3
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eb69c70e-bbff-4f80-a97a-ce7d6f635c12 · outbound

This paper cites an unresolved cited work.

Covariant Approximate Quantum Codes for Protected Analog Computation Unresolved cited work

Reference 1

Resolution
malformed identifier
raw_fallback, observed 2026-07-09T06:36:02.244245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-09T06:31:38.257634Z digest=sha256:86890ebe485854e8c111af903d205eef8376dd2ac21cce14a0b368c420213bd4

Observation b1a504e5-7f84-46be-8548-f15c147b034a · outbound

This paper cites Then a complementary channel toN ◦ Eis given as follows: \N ◦ E(ρ L) = X S∈S pS|S⟩⟨S| FE ⊗ cNS ρ(S) (ρL).

Covariant Approximate Quantum Codes for Protected Analog Computation Then a complementary channel toN ◦ Eis given as follows: \N ◦ E(ρ L) = X S∈S pS|S⟩⟨S| FE ⊗ cNS ρ(S) (ρL)

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T06:36:02.250735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-09T06:31:38.257634Z digest=sha256:b9a1f4b11384f1275dbd9a1e08ab293737ff1b45d6a26fbac9ba30947c125edc

Observation ebc0fc46-241a-4e27-b824-1c22daf8a394 · outbound

This paper cites For notation see Section C and Nomenclature section.

Covariant Approximate Quantum Codes for Protected Analog Computation For notation see Section C and Nomenclature section

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T06:36:02.254380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-09T06:31:38.257634Z digest=sha256:ce79b75f47911d045b737e0ed9a755e017c7f680b20946ebeae64c234b1f9893

Observation 1c1a5fd8-e08f-4d5e-90ab-173ef6e2f960 · outbound

This paper cites an unresolved cited work.

Covariant Approximate Quantum Codes for Protected Analog Computation Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-07-09T06:36:02.227030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-09T06:31:38.257634Z digest=sha256:b4ac1e7eb8b8d2505ceec14832ac4d1c2c2e26bae2effa420155ae11d4490720

Observation b375e90d-b2fa-49e2-81b6-afb2ba7f29d9 · outbound

This paper cites IfH ∼=L α∈IH (Vα ⊗M α), where IH is the set of irreducible representations ofGpresent inH, then u(H)G ∼= M α∈IH u (Mα),su(H) G ∼= M α∈IH su(M α) ! ⊕u(1) ⊕(|IH|−1).

Covariant Approximate Quantum Codes for Protected Analog Computation IfH ∼=L α∈IH (Vα ⊗M α), where IH is the set of irreducible representations ofGpresent inH, then u(H)G ∼= M α∈IH u (Mα),su(H) G ∼= M α∈IH su(M α) ! ⊕u(1) ⊕(|IH|−1)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T06:36:02.241600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-09T06:31:38.257634Z digest=sha256:0caeeed9c0c80d52d82326c9491e5e1be22c67861f9f36a6c22ef2c8298e6d79

Observation 9218501c-b8a2-4e68-80af-23870b1a83c3 · outbound

This paper cites Below we provide an example of how to do it forN= 3 qubits, where we use the method of Young symmetrizers proposed in [67].

Covariant Approximate Quantum Codes for Protected Analog Computation Below we provide an example of how to do it forN= 3 qubits, where we use the method of Young symmetrizers proposed in [67]

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T06:36:02.272565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-09T06:31:38.257634Z digest=sha256:8524d9670b53a8fbf9d0cd5c4f9dbb420b0b48f49b116035c8c0ba706c8a0b1a

Observation 97a882ae-0ff6-430c-818c-df817100bd2d · outbound

This paper cites t.n i ≡1 (modd i)fori∈ {1,2}.

Covariant Approximate Quantum Codes for Protected Analog Computation t.n i ≡1 (modd i)fori∈ {1,2}

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T06:36:02.262341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-09T06:31:38.257634Z digest=sha256:fd3108bfcd9af6344bb7921a0f298ebca2cc3f09e0858dd859f9aed5cd85cce3

Observation 84b58128-21c9-4e99-87a3-9d30617c39e7 · outbound

This paper cites As it was pointed out in [16], in this case DLA spanned byiH x, iHy, iHzz actually coincides with invariant algebrasu(4)⊕su(2)⊕u(1).

Covariant Approximate Quantum Codes for Protected Analog Computation As it was pointed out in [16], in this case DLA spanned byiH x, iHy, iHzz actually coincides with invariant algebrasu(4)⊕su(2)⊕u(1)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T06:36:02.235033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-09T06:31:38.257634Z digest=sha256:934a498a94351f678f632b847276a3e8ececbc1269efcd61e4fc8b29b17d135a

Observation 3a10d344-0ce3-45ea-8aaa-3f0d58956933 · outbound

This paper cites We remind that definition of action and motivation for the symmetry groupGcan be found in Section V of the main text of the paper.

Covariant Approximate Quantum Codes for Protected Analog Computation We remind that definition of action and motivation for the symmetry groupGcan be found in Section V of the main text of the paper

Reference 9

Resolution
malformed identifier
raw_fallback, observed 2026-07-09T06:36:02.230976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-09T06:31:38.257634Z digest=sha256:416de0dc3cc5fd745f0be13b2e87ec9327eaf91ba5b4840cc5f1ffaa8b246da7

Observation 5d7beda6-6c28-4459-ba32-b0ffc1c01a4e · outbound

This paper cites an unresolved cited work.

Covariant Approximate Quantum Codes for Protected Analog Computation Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-07-09T06:36:02.247656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-09T06:31:38.257634Z digest=sha256:1df569c670691c25c57d8d317913ba96cd33ae175411674013ce749818ef6886

Observation a6ca2eb1-68a7-47e6-9203-b5eedab33a1e · outbound

This paper cites an unresolved cited work.

Covariant Approximate Quantum Codes for Protected Analog Computation Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-07-09T06:36:02.265512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-09T06:31:38.257634Z digest=sha256:5185682b12d5f1ce15074d1f80b329322e95339dd97effefa11529c7548e29ef

Observation 922000c3-dd7a-47b5-927d-4e0bc8dc0a55 · outbound

This paper cites We will demonstrate this procedure on the example ofS 3-symmetric system in section E 3.

Covariant Approximate Quantum Codes for Protected Analog Computation We will demonstrate this procedure on the example ofS 3-symmetric system in section E 3

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T06:36:02.268910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-09T06:31:38.257634Z digest=sha256:078d42ec949cef98acc492166a03adcfeb23dc67b35fd59fdc0330732fd2de1b

Observation dbc79b65-e807-4fce-8266-f1dd56de526b · outbound

This paper cites Consider the symmetric groupS 3 acting on three qubit system (C 2)⊗3 by permuting them, i.

Covariant Approximate Quantum Codes for Protected Analog Computation Consider the symmetric groupS 3 acting on three qubit system (C 2)⊗3 by permuting them, i

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T06:36:02.258671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-09T06:31:38.257634Z digest=sha256:68713828376783864c86efd9d37f969a569494fcc574b7f512565bb5db52591d

Pith citing papers

Observation df12b28b-7d20-4756-8f24-e3aa14d97754 · inbound

Restrictions on non-Clifford fault tolerance and ruling out beyond-SQL quantum metrology cites this paper.

Restrictions on non-Clifford fault tolerance and ruling out beyond-SQL quantum metrology Covariant Approximate Quantum Codes for Protected Analog Computation

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-01T09:24:18.377784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:24:18.377784Z digest=sha256:72467bad4c872b59e3764dace68f7d85be928ad03d1412c9305a19ffcde9a09a