Paper Citation Record · LEDGER

Complexity-energy trade-off in programmable unitary interferometers

As of 9 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2507.22972.

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

pith.paper-citation-record.v1
2507.22972 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:19:50.691295Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-15T20:06:50.515843Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T20:10:18.622445Z

Reference resolution

38 of 38 outbound references displayed

verified exact5
verified fuzzy29
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9dff05c2-0c0d-4e62-8c1f-7d98eac87002 · outbound

This paper cites The physics of optical computing.

Complexity-energy trade-off in programmable unitary interferometers The physics of optical computing

Reference 1

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Observation c320c06d-aa10-43f6-ba83-f0405869f070 · outbound

This paper cites Photonics for artificial intelligence and neuromorphic computing.

Complexity-energy trade-off in programmable unitary interferometers Photonics for artificial intelligence and neuromorphic computing

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.648302Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 63da1820-0162-4a82-ab64-4c54ef467d1d · outbound

This paper cites Parallel programming of an in-memory photonic processor.

Complexity-energy trade-off in programmable unitary interferometers Parallel programming of an in-memory photonic processor

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.631342Z

Source-reported events for the cited work

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Observation ec075929-e860-4023-8dd0-0c0e5785d8fc · outbound

This paper cites Photonic ma- trix multiplication lights up photonic accelerator and be- yond.

Complexity-energy trade-off in programmable unitary interferometers Photonic ma- trix multiplication lights up photonic accelerator and be- yond

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.613608Z

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Observation 73fe66a6-f131-4bb3-a562-999ee54537e8 · outbound

This paper cites Hypermultiplexed integrated photon- ics–based optical tensor processor.

Complexity-energy trade-off in programmable unitary interferometers Hypermultiplexed integrated photon- ics–based optical tensor processor

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.592516Z

Source-reported events for the cited work

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Observation 41ea16a8-205e-4c00-88b5-857a3a7013a1 · outbound

This paper cites an unresolved cited work.

Complexity-energy trade-off in programmable unitary interferometers Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:19:51.683733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation dc5c24a3-6a86-4015-b7ec-3906417b854f · outbound

This paper cites Integrated photonic quantum tech- nologies.

Complexity-energy trade-off in programmable unitary interferometers Integrated photonic quantum tech- nologies

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.553390Z

Source-reported events for the cited work

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Observation 706869c5-71e5-4723-86a1-9606788ffb4b · outbound

This paper cites Large-scale photonic chiplet taichi empowers 160-tops/w artificial general in- telligence.

Complexity-energy trade-off in programmable unitary interferometers Large-scale photonic chiplet taichi empowers 160-tops/w artificial general in- telligence

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.572715Z

Source-reported events for the cited work

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Observation 74f9e9f7-bac9-4a3a-a950-be37c24d0161 · outbound

This paper cites Quantum machine learning with adaptive boson sampling via post-selection.

Complexity-energy trade-off in programmable unitary interferometers Quantum machine learning with adaptive boson sampling via post-selection

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.514647Z

Source-reported events for the cited work

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Observation 13bc4aec-9e90-47eb-b0e9-e554f48cab2a · outbound

This paper cites Reconfigurable continuously- coupled 3d photonic circuit for boson sampling experi- ments.

Complexity-energy trade-off in programmable unitary interferometers Reconfigurable continuously- coupled 3d photonic circuit for boson sampling experi- ments

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.532182Z

Source-reported events for the cited work

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Observation 13e45783-16ce-4a8d-a62d-2002e4214164 · outbound

This paper cites A versatile single-photon-based quan- 6 tum computing platform.

Complexity-energy trade-off in programmable unitary interferometers A versatile single-photon-based quan- 6 tum computing platform

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.474384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation eb61a47e-e3ba-417b-95dd-95251580e1f4 · outbound

This paper cites Multidimensional quantum entanglement with large-scale integrated optics.

Complexity-energy trade-off in programmable unitary interferometers Multidimensional quantum entanglement with large-scale integrated optics

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.495588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1f91f0cb-5c7a-4fce-bccd-3675140c273a · outbound

This paper cites Programmable integrated photonic coherent matrix: Principle, configuring, and applications.

Complexity-energy trade-off in programmable unitary interferometers Programmable integrated photonic coherent matrix: Principle, configuring, and applications

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.430437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8ccf3326-1242-4c74-8142-f774fa3700ba · outbound

This paper cites A manufacturable platform for pho- tonic quantum computing.

Complexity-energy trade-off in programmable unitary interferometers A manufacturable platform for pho- tonic quantum computing

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.450358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3db6d8d4-4b61-42ad-a3c0-42938e1c6ea1 · outbound

This paper cites Accurate self-configuration of rectangular multiport interferometers.

Complexity-energy trade-off in programmable unitary interferometers Accurate self-configuration of rectangular multiport interferometers

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.389089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 996f1baf-422d-4147-b8b7-0ff670e48254 · outbound

This paper cites Programmable pho- tonic unitary circuits for light computing.

Complexity-energy trade-off in programmable unitary interferometers Programmable pho- tonic unitary circuits for light computing

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.412010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a155ce86-f24b-4600-80d3-6f9c5e13b3b5 · outbound

This paper cites Op- timal design of error-tolerant reprogrammable multiport interferometers.

Complexity-energy trade-off in programmable unitary interferometers Op- timal design of error-tolerant reprogrammable multiport interferometers

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.344607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 412267e5-dbba-41d3-8eac-b303e845b859 · outbound

This paper cites Hardware error correction for programmable photonics.

Complexity-energy trade-off in programmable unitary interferometers Hardware error correction for programmable photonics

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.368173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7a226d75-4669-4b32-a35c-bdf63016bf6d · outbound

This paper cites Ma- trix computations.

Complexity-energy trade-off in programmable unitary interferometers Ma- trix computations

Reference 19

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Source-reported events for the cited work

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Observation ef6fb8a4-bdf3-4ce4-acb4-b522c434fbf9 · outbound

This paper cites Optimal design for universal multiport interferometers.

Complexity-energy trade-off in programmable unitary interferometers Optimal design for universal multiport interferometers

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.324044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a37dbe0e-38b8-4e2e-9a9e-9534ba709a10 · outbound

This paper cites Low-depth, compact, and error-tolerant pho- tonic matrix-vector multiplication beyond the unitary group.

Complexity-energy trade-off in programmable unitary interferometers Low-depth, compact, and error-tolerant pho- tonic matrix-vector multiplication beyond the unitary group

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.251452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0b87e678-a877-413f-8001-c22f0a4c4219 · outbound

This paper cites Lower-depth programmable linear op- tical processors.

Complexity-energy trade-off in programmable unitary interferometers Lower-depth programmable linear op- tical processors

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.275547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8df5393c-c0d9-4f13-b26a-b6d46623be97 · outbound

This paper cites Towards the Information-Theoretic Limit of Programmable Photonics.

Complexity-energy trade-off in programmable unitary interferometers Towards the Information-Theoretic Limit of Programmable Photonics

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T11:19:50.596361Z

Source-reported events for the cited work

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Observation ba8d327d-bb21-46bc-a060-5fe3f805071f · outbound

This paper cites For example, the Clements mesh (see Fig.

Complexity-energy trade-off in programmable unitary interferometers For example, the Clements mesh (see Fig

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.702176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 27bb315b-e157-45dc-9266-ec145c92019d · outbound

This paper cites Uni- versal low-depth two-unitary design of programmable photonic circuits.

Complexity-energy trade-off in programmable unitary interferometers Uni- versal low-depth two-unitary design of programmable photonic circuits

Reference 25

Resolution: verified exact; raw_fallback, observed 2026-08-06T11:19:51.082549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 88ec8bc4-8a3b-4416-a2fe-166dd7d66ca3 · outbound

This paper cites Experimental realization of any dis- crete unitary operator.

Complexity-energy trade-off in programmable unitary interferometers Experimental realization of any dis- crete unitary operator

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.228405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 246f95db-fd06-49b2-96a2-bc25856f049a · outbound

This paper cites Probabilistic Upper Bounds for the Matrix Two-Norm.

Complexity-energy trade-off in programmable unitary interferometers Probabilistic Upper Bounds for the Matrix Two-Norm

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.205978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0597dc3e-6939-4595-92de-137782f5c360 · outbound

This paper cites Computing Probabilistic Bounds for Extreme Eigenvalues of Symmetric Matrices with the Lanczos Method.

Complexity-energy trade-off in programmable unitary interferometers Computing Probabilistic Bounds for Extreme Eigenvalues of Symmetric Matrices with the Lanczos Method

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.185527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e0a2d52e-cf94-4be5-929c-15aefe88649b · outbound

This paper cites Numerical methods for large eigenvalue problems.

Complexity-energy trade-off in programmable unitary interferometers Numerical methods for large eigenvalue problems

Reference 29

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Source-reported events for the cited work

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Observation b8aaf6d1-87c6-4aef-b294-02d4d3f8f6ea · outbound

This paper cites Gaussian elimination is not optimal.

Complexity-energy trade-off in programmable unitary interferometers Gaussian elimination is not optimal

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.165341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7455aa18-d7ef-4e8e-a9f6-9258ba70f50a · outbound

This paper cites Parallel optical coher- ent dot-product architecture for large-scale matrix multi- plication with compatibility for diverse phase shifters.

Complexity-energy trade-off in programmable unitary interferometers Parallel optical coher- ent dot-product architecture for large-scale matrix multi- plication with compatibility for diverse phase shifters

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.146887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 76bb0a66-01db-464e-aff7-389684fe7188 · outbound

This paper cites Parallel convolution processing using an integrated photonic tensor core.

Complexity-energy trade-off in programmable unitary interferometers Parallel convolution processing using an integrated photonic tensor core

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:19:50.918131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8bd76cc5-7108-44bf-83f1-19301f07856d · outbound

This paper cites Optical coherent dot-product chip for so- phisticated deep learning regression.

Complexity-energy trade-off in programmable unitary interferometers Optical coherent dot-product chip for so- phisticated deep learning regression

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.124446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2fc2ae4a-6b08-447e-afdc-327515d75f7c · outbound

This paper cites Scalable Coherent Optical Crossbar Architecture using PCM for AI Acceleration.

Complexity-energy trade-off in programmable unitary interferometers Scalable Coherent Optical Crossbar Architecture using PCM for AI Acceleration

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:19:50.842232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a1f50c8a-6755-4fc3-9247-42dca15c1f52 · outbound

This paper cites Coherent photonic crossbar as a universal linear operator.

Complexity-energy trade-off in programmable unitary interferometers Coherent photonic crossbar as a universal linear operator

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:19:50.884037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9cf4a00d-7c65-44b4-abea-81fc5cc68c0a · outbound

This paper cites Fully reconfigurable coherent optical vector-matrix multiplication.

Complexity-energy trade-off in programmable unitary interferometers Fully reconfigurable coherent optical vector-matrix multiplication

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:19:50.811223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 30a4d2c2-cee0-41df-b17f-1c96ab78e689 · outbound

This paper cites Commentary on the decomposition of universal multiport interferometers: how it works in practice.

Complexity-energy trade-off in programmable unitary interferometers Commentary on the decomposition of universal multiport interferometers: how it works in practice

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-06T11:19:50.683950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21b826e1-eda8-4ea8-b018-df50c3021a2a · outbound

This paper cites Fast rectangular matrix multiplica- tion and qr decomposition.

Complexity-energy trade-off in programmable unitary interferometers Fast rectangular matrix multiplica- tion and qr decomposition

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:19:51.105240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

Observation f4394cde-1278-417d-bd54-e9cb5bc5258a · inbound

Native QR Factorization on Programmable Photonic Meshes cites this paper.

Native QR Factorization on Programmable Photonic Meshes Complexity-energy trade-off in programmable unitary interferometers

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-15T20:10:18.625066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.