Paper Citation Record · LEDGER

Optimal asymptotic precision bounds for nonlinear quantum metrology under collective dephasing

As of 19 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2501.00189.

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

pith.paper-citation-record.v1
2501.00189 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:02:41.538830Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T05:48:42.961650Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

verified exact0
verified fuzzy10
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4fc10b4e-3b41-4942-ba18-fab6b2382451 · outbound

This paper cites an unresolved cited work.

Optimal asymptotic precision bounds for nonlinear quantum metrology under collective dephasing Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:02:41.839567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8bc42357-05ae-4a6b-8636-8592853fe58e · outbound

This paper cites one-body.

Optimal asymptotic precision bounds for nonlinear quantum metrology under collective dephasing one-body

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:02:41.822848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 22c31c71-36c5-4293-aeab-2e4b6406856f · outbound

This paper cites an unresolved cited work.

Optimal asymptotic precision bounds for nonlinear quantum metrology under collective dephasing Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:02:41.806084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 008220d4-475d-487a-bfd3-62cc5ad09822 · outbound

This paper cites A recent proposal 47 makes use of two bosonic modes, a probe P and an ancilla A, to achieve this.

Optimal asymptotic precision bounds for nonlinear quantum metrology under collective dephasing A recent proposal 47 makes use of two bosonic modes, a probe P and an ancilla A, to achieve this

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:02:41.789667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 86c4dd1c-5bf2-4419-9d20-ef549d9771f6 · outbound

This paper cites (1) in the main text with k = 2, we consider the set C ˆn(θ , φ ) of all CSS.

Optimal asymptotic precision bounds for nonlinear quantum metrology under collective dephasing (1) in the main text with k = 2, we consider the set C ˆn(θ , φ ) of all CSS

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:02:41.766854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a5fdf01b-b156-42c3-9f1b-3dd35523f178 · outbound

This paper cites We can compute the QFI of any CSS |θ , φ ⟩ as FQ[ρCSS(τ)] =4ν(⟨J4 z (τ)⟩ − ⟨J2 z (τ)⟩2) =4ν∆J2 z (τ).

Optimal asymptotic precision bounds for nonlinear quantum metrology under collective dephasing We can compute the QFI of any CSS |θ , φ ⟩ as FQ[ρCSS(τ)] =4ν(⟨J4 z (τ)⟩ − ⟨J2 z (τ)⟩2) =4ν∆J2 z (τ)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:02:41.749942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b07c4c1b-0df1-41e6-b2e4-efbb522f0b49 · outbound

This paper cites (B13) This coincides with Eq.

Optimal asymptotic precision bounds for nonlinear quantum metrology under collective dephasing (B13) This coincides with Eq

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:02:41.732373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 57dd34a2-b5c2-4fed-9a44-50dc0221b8ab · outbound

This paper cites Evaluating uncertainty Eq.

Optimal asymptotic precision bounds for nonlinear quantum metrology under collective dephasing Evaluating uncertainty Eq

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:02:41.715364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fc08297c-0346-406f-a6da-9f18e83384fd · outbound

This paper cites an unresolved cited work.

Optimal asymptotic precision bounds for nonlinear quantum metrology under collective dephasing Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:02:41.699489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3a0ef0dd-de68-4f47-8b28-51156b34b26d · outbound

This paper cites Here, for convenience, we take said axis to be along the ˆx direction, ˜H(t) =bJ 2 x + Jxξ (t) ≡ ˜Hˆx(t).

Optimal asymptotic precision bounds for nonlinear quantum metrology under collective dephasing Here, for convenience, we take said axis to be along the ˆx direction, ˜H(t) =bJ 2 x + Jxξ (t) ≡ ˜Hˆx(t)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:02:41.681696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9f8d324e-9f9a-4a84-b171-da443984c35e · outbound

This paper cites Here we present a brief summary of its most salient features, as useful in our context.

Optimal asymptotic precision bounds for nonlinear quantum metrology under collective dephasing Here we present a brief summary of its most salient features, as useful in our context

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:02:41.664189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6c1b6ba0-24f7-4e7f-9e18-cd3508f75bce · outbound

This paper cites an unresolved cited work.

Optimal asymptotic precision bounds for nonlinear quantum metrology under collective dephasing Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:02:41.641783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3d6b5b86-9cb5-4a73-a98e-c1ca7861fb75 · outbound

This paper cites We focus on sensing small phase space displacements, ϕ = δbτ ≪ 1, at the operating point b0 = 0.

Optimal asymptotic precision bounds for nonlinear quantum metrology under collective dephasing We focus on sensing small phase space displacements, ϕ = δbτ ≪ 1, at the operating point b0 = 0

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:02:41.621074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b2e8d8ff-6b18-4732-aaf6-7e5f2a555194 · outbound

This paper cites (B12), with the relevant expectation values, Eqs.

Optimal asymptotic precision bounds for nonlinear quantum metrology under collective dephasing (B12), with the relevant expectation values, Eqs

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:02:41.604081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a4605043-0116-4277-93c2-6a7d6e6d07b7 · outbound

This paper cites Quantum theory of phase estimation.

Optimal asymptotic precision bounds for nonlinear quantum metrology under collective dephasing Quantum theory of phase estimation

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T23:02:41.538830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 3b62a709-eac8-44ec-b3f3-b41d12f59622 · inbound

Higher-order noise statistics restore Heisenberg scaling under collective dephasing cites this paper.

Higher-order noise statistics restore Heisenberg scaling under collective dephasing Optimal asymptotic precision bounds for nonlinear quantum metrology under collective dephasing

Reference 40

Resolution: unresolved; no resolver link, observed 2026-07-12T05:48:42.961650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.