Paper Citation Record · LEDGER

Efficient learning of bosonic unitaries beyond the Gaussian class

As of 14 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2607.27534.

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

pith.paper-citation-record.v1
2607.27534 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T06:16:12.060044Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

19 of 19 outbound references displayed

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verified fuzzy0
unresolved19
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malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8e9ae947-e841-4feb-93c4-1fcd95870707 · outbound

This paper cites an unresolved cited work.

Efficient learning of bosonic unitaries beyond the Gaussian class Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:09.253921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d66809f-ada6-414a-bae7-fca8f048957f · outbound

This paper cites , βd are unisolvent for holomorphic polynomials of total degree at mostr.

Efficient learning of bosonic unitaries beyond the Gaussian class , βd are unisolvent for holomorphic polynomials of total degree at mostr

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:09.321598Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94fb69da-f828-4956-b8b1-8ce171657fe2 · outbound

This paper cites an unresolved cited work.

Efficient learning of bosonic unitaries beyond the Gaussian class Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:09.536214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdcad979-4daa-4508-9e7c-d696377beb32 · outbound

This paper cites There exists Ndyn such thatN (x) Wg (q)≤N dyn, and the cutoffrsatisfiesr≥ l 256Ndyn ϵ2 m.

Efficient learning of bosonic unitaries beyond the Gaussian class There exists Ndyn such thatN (x) Wg (q)≤N dyn, and the cutoffrsatisfiesr≥ l 256Ndyn ϵ2 m

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:09.696917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c7a9045-1353-4fd6-8162-a972a6c86c18 · outbound

This paper cites The identified mode setχ coh provide output state with a trace distance error p ϵcoh/2.

Efficient learning of bosonic unitaries beyond the Gaussian class The identified mode setχ coh provide output state with a trace distance error p ϵcoh/2

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:09.858039Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14af62f5-c375-4b07-a9e7-ac4175c4cae3 · outbound

This paper cites an unresolved cited work.

Efficient learning of bosonic unitaries beyond the Gaussian class Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:09.993131Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9ab0289-087a-4a2b-9d6f-b5876b04e912 · outbound

This paper cites , αm)∈C m.(S848) Their total photon number is⟨α | bN|α ⟩=∥α∥ 2.

Efficient learning of bosonic unitaries beyond the Gaussian class , αm)∈C m.(S848) Their total photon number is⟨α | bN|α ⟩=∥α∥ 2

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:10.169737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee1f5aae-06f5-4b00-b99b-8309d6baa8db · outbound

This paper cites On the output, we perform heterodyne detection with POVM Π(β) =π −m |β⟩⟨β|,β= (β 1,.

Efficient learning of bosonic unitaries beyond the Gaussian class On the output, we perform heterodyne detection with POVM Π(β) =π −m |β⟩⟨β|,β= (β 1,

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:10.297966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 910d2906-c5ca-4f53-892f-2578e6624487 · outbound

This paper cites an unresolved cited work.

Efficient learning of bosonic unitaries beyond the Gaussian class Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:10.460193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6177e37d-7346-4cba-8a39-2c700ce8ec07 · outbound

This paper cites More explicitly, define Φ∈C M×D 2 ,Φ r,(n,n′) := α(r) n α(r) n′ √ n!n ′! ,n,n ′ ∈ JL.(S862) Here the column index (n,n ′) ranges overJ L × JL in any fixed order.

Efficient learning of bosonic unitaries beyond the Gaussian class More explicitly, define Φ∈C M×D 2 ,Φ r,(n,n′) := α(r) n α(r) n′ √ n!n ′! ,n,n ′ ∈ JL.(S862) Here the column index (n,n ′) ranges overJ L × JL in any fixed order

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:10.612205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29371e13-2528-4978-bec1-4309e22823db · outbound

This paper cites an unresolved cited work.

Efficient learning of bosonic unitaries beyond the Gaussian class Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:10.780585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b775bb7a-eb6f-4217-84f3-bf8576b621ed · outbound

This paper cites We assume throughout that Φ has full column rank.

Efficient learning of bosonic unitaries beyond the Gaussian class We assume throughout that Φ has full column rank

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:10.946928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb52e3ba-5f9a-47ee-b79a-78d197c621ba · outbound

This paper cites Recall the vector form of the reconstruction problemg jk = Φe jk,and bejk = Φ†bgjk.

Efficient learning of bosonic unitaries beyond the Gaussian class Recall the vector form of the reconstruction problemg jk = Φe jk,and bejk = Φ†bgjk

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:11.112234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ae66f97-29e8-44a9-b4af-746c9cbfbac0 · outbound

This paper cites (S890) immediately yields the shot requirement needed to achieve a target entrywise process-tensor accuracy.

Efficient learning of bosonic unitaries beyond the Gaussian class (S890) immediately yields the shot requirement needed to achieve a target entrywise process-tensor accuracy

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:11.317244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3d1159e-d543-41b7-97c9-f0bb46dcdf72 · outbound

This paper cites Within the admissible energy range, successful reconstruction requires two conditions.

Efficient learning of bosonic unitaries beyond the Gaussian class Within the admissible energy range, successful reconstruction requires two conditions

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:11.427600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75c6a52a-c3e3-4984-9265-5ab23b69c4c2 · outbound

This paper cites Letq :=⌊m(E−1/2)⌋,and dE := dim(H ≤q) = q+m m.

Efficient learning of bosonic unitaries beyond the Gaussian class Letq :=⌊m(E−1/2)⌋,and dE := dim(H ≤q) = q+m m

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:11.588871Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 679ae079-17c6-4fc7-abd7-1b65055da108 · outbound

This paper cites Proposition S50(Local stability of the reconstruction map).LetV L be a unitary onH ≤L withD= dim(H ≤L).

Efficient learning of bosonic unitaries beyond the Gaussian class Proposition S50(Local stability of the reconstruction map).LetV L be a unitary onH ≤L withD= dim(H ≤L)

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:11.744859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13ec0e86-3ea3-48d7-a6ee-e9827305ce77 · outbound

This paper cites ChooseLand a full-space unitary extensionVas in Theorem S49, but with accuracy parameterϵ model instead ofϵ.

Efficient learning of bosonic unitaries beyond the Gaussian class ChooseLand a full-space unitary extensionVas in Theorem S49, but with accuracy parameterϵ model instead ofϵ

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:11.913806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e0002a77-57a1-4dc8-8c81-28cd8a5da27a · outbound

This paper cites The lower bound is unconditional.

Efficient learning of bosonic unitaries beyond the Gaussian class The lower bound is unconditional

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T06:16:12.060044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.