Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-02T00:09:00.340756Z
Paper Citation Record · LEDGER
As of 5 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 1 inbound Pith citation observation for arXiv:2607.15160.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-02T00:09:00.340756Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T07:13:14.472313Z
A source-named dated measurement, never combined with another source.
Source: cited_works
63 of 63 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 3f47ed5a-a164-4150-98f9-5acfa6f1dfbd · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Why i am optimistic about the silicon- photonic route to quantum computing,
Reference 1
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.
Observation cb55f3fe-31bf-4ae0-9eeb-bdad6efd1a72 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Scalability of large-scale photonic integrated circuits,
Reference 2
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Unavailable: canonical work link unavailable.
Observation 01e99779-1561-4e85-b72a-9f9e722d578c · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments The potential and global outlook of integrated photonics for quantum technologies,
Reference 3
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Unavailable: canonical work link unavailable.
Observation e4e1c0d1-b8a2-4c22-965d-f9ceead198e9 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Integrated photonic neural network with on-chip backpropagation training,
Reference 4
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Unavailable: canonical work link unavailable.
Observation f568ce9f-1684-4b6e-8bda-64b7e5af4bdc · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments A manufacturable platform for pho- tonic quantum computing,
Reference 5
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Unavailable: canonical work link unavailable.
Observation cf387650-2cfb-4a38-9047-21cb018877ad · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Scal- ing and networking a modular photonic quantum com- puter,
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dad238ed-193e-4fd7-90a4-40a2486fa331 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments A versatile single-photon-based quantum computing platform,
Reference 7
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Unavailable: canonical work link unavailable.
Observation a8ccaf8d-2f46-4695-8dbb-fe0f797027d8 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Quantum circuits with many photons on a programmable nanophotonic chip,
Reference 8
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Unavailable: canonical work link unavailable.
Observation 2ea17b7f-5850-4eb4-9188-64903e37a2ed · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Integrated photonic quantum technologies,
Reference 9
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.
Observation f7165e76-63b1-425c-a6d4-bb79e641e2fa · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Recent progress towards large-scale integrated photonic quantum computation,
Reference 10
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Unavailable: canonical work link unavailable.
Observation d8a3841e-0cee-4aa1-82a9-76c250a4eb17 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Advances in photonic quantum sensing,
Reference 11
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Unavailable: canonical work link unavailable.
Observation dc9f2138-3840-4f8f-8c3b-a40191718aee · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Secure quantum key distribution,
Reference 12
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Unavailable: canonical work link unavailable.
Observation 4b162b79-dd33-41c2-8a17-71641875ca84 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Optimal design for universal multiport interferometers,
Reference 13
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Unavailable: canonical work link unavailable.
Observation 5d46de39-947f-40fa-ac63-a0625b4342c2 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Etching properties of pin-pmn-pt and its integration in electro-optic phase modulators,
Reference 14
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.
Observation 8e4d2c37-c24e-4e73-83ba-c18335f31669 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Foundations of photonic quantum compu- tation,
Reference 15
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.
Observation ff74ed3e-ce9c-4d7e-a2fe-dff5c4d3a29d · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Programmable photonic integrated meshes for modular generation of optical entanglement links,
Reference 16
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.
Observation a16d9e6f-e9a3-41cc-86e7-2247c5990fcd · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Wideband two-port beam splitter of a binary fused- silica phase grating,
Reference 17
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.
Observation 11355f06-5d07-44b9-8a99-f69cf7734e6b · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Silicon optical modulators,
Reference 18
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Unavailable: canonical work link unavailable.
Observation 72133daf-c9e1-461a-b21f-ac2175676daa · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Riemannian optimization of photonic quantum circuits in phase and fock space,
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9651992b-42a1-4f75-aa19-a4cb3f778746 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Threshold detection statistics of bosonic states,
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 724910c4-aa5f-4955-bd3a-bba8523d52af · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Simulating lossy and partially distinguish- able quantum optical circuits: Theory, algorithms, and applications to experiment validation and state prepara- tion,
Reference 21
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Unavailable: canonical work link unavailable.
Observation 87f3e2c2-5f1e-45be-aa8a-c4560b2a4052 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Quan- tum sampling problems, bosonsampling and quantum supremacy,
Reference 22
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Unavailable: canonical work link unavailable.
Observation e9bc80aa-2ec8-4703-994d-a515b010f29f · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Toward scalable 13 boson sampling with photon loss,
Reference 23
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Unavailable: canonical work link unavailable.
Observation 3fe57e8b-6b47-47ca-992c-6ddd4ca4edb8 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Variational quantum algo- rithms,
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 47158b9c-9e56-4c9a-bcf1-49eb4e6ebfa6 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Varia- tional quantum algorithms: Fundamental concepts, ap- plications and challenges,
Reference 25
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Unavailable: canonical work link unavailable.
Observation 68697d4a-5053-42ab-a2a4-6370c9c52b5e · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments A variational eigenvalue solver on a photonic quantum pro- cessor,
Reference 26
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Unavailable: canonical work link unavailable.
Observation 971e6b68-c72f-4d34-9abb-6cc8c236b058 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments The variational quantum eigensolver: A review of methods and best practices,
Reference 27
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Unavailable: canonical work link unavailable.
Observation fdc9c262-841f-4eb2-aa34-99d389a72c73 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments A Quantum Approximate Optimization Algorithm
Reference 28
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Unavailable: canonical work link unavailable.
Observation 288727ff-9d29-4920-a3f6-e5e0880b2554 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments A review on quantum approximate optimization algorithm and its variants,
Reference 29
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Unavailable: canonical work link unavailable.
Observation e264c1a9-56c6-4cdf-a025-bd35a0258733 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Circuit-centric quantum classifiers,
Reference 30
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Unavailable: canonical work link unavailable.
Observation d582fe3f-5894-477e-a4a2-71d9b639d81a · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Supervised learning with quantum-enhanced fea- ture spaces,
Reference 31
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Unavailable: canonical work link unavailable.
Observation ec514e11-f7c2-40bc-836a-e4006f4a8c42 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Continuous-variable quan- tum neural networks,
Reference 32
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Unavailable: canonical work link unavailable.
Observation 68c57d6a-8ae2-44f5-ba61-87760b5f2ca2 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments The quest for a quantum neural network,
Reference 33
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Unavailable: canonical work link unavailable.
Observation af6337a7-b68b-40d8-9b85-36a5a62c2685 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Machine learning with quantum computers,
Reference 34
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Unavailable: canonical work link unavailable.
Observation 1020e4a9-0122-4970-b660-28794a6b07aa · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Quantum neural network for quantum neu- ral computing,
Reference 35
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Unavailable: canonical work link unavailable.
Observation 3ebd5174-ea10-412e-b9c4-673a6ffc514b · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Recent developments and applications in quantum neural network: A re- view,
Reference 36
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Unavailable: canonical work link unavailable.
Observation 6943dd28-3d41-4698-ba88-3cd44306fbd2 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Quantum neural network
Reference 37
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Unavailable: canonical work link unavailable.
Observation d1e305cc-7c52-4b4a-922e-8289997e8077 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Efficient variational quan- tum simulator incorporating active error minimization,
Reference 38
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Unavailable: canonical work link unavailable.
Observation a188375f-553f-4639-a18e-a32f9a98c73b · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Theory of variational quantum simulation,
Reference 39
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Unavailable: canonical work link unavailable.
Observation 74a42184-9883-4cac-bf7e-e7fab8d5cef6 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Optimized numerical gradient and hessian estimation for variational quantum algorithms,
Reference 40
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Unavailable: canonical work link unavailable.
Observation 0b26fe1a-97bd-4ea0-bf47-49151f95e4cb · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments QuGStep: Refining Step Size Selection in Gradient Estimation for Variational Quantum Algorithms
Reference 41
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Unavailable: canonical work link unavailable.
Observation 4110729b-fad1-4ce6-8cf9-3225ee87c4fc · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Pho- tonic parameter-shift rule: Enabling gradient computa- tion for photonic quantum computers,
Reference 42
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Unavailable: canonical work link unavailable.
Observation 162d0c61-2044-461e-91e0-726df8884bc5 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Exact gradients for linear optics with single photons
Reference 43
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Unavailable: canonical work link unavailable.
Observation f41fe99a-9eb3-4c4f-85a2-f0338e8fea68 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments General parameter-shift rules for quantum gradients,
Reference 44
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Unavailable: canonical work link unavailable.
Observation 92c05186-a92a-4f16-9c90-c1e5f10770f5 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Unresolved cited work
Reference 45
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Unavailable: canonical work link unavailable.
Observation 415d35a1-d7e8-442c-befc-e6e4c6e38579 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Ma- trix decompositions in quantum optics: Takagi/autonne, bloch–messiah/euler, iwasawa, and williamson,
Reference 46
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Unavailable: canonical work link unavailable.
Observation 9cf4c8a1-f7bf-47ea-a48d-cd4481ad2665 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Further compactifying linear optical unitaries,
Reference 47
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Unavailable: canonical work link unavailable.
Observation 0938110f-eac8-4518-ab5c-13a20a589cb7 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Arbi- trary optical wave evolution with fourier transforms and phase masks,
Reference 48
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Unavailable: canonical work link unavailable.
Observation d3341237-b4c5-4926-ac9d-1f26587c0c13 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Near-optimal decomposi- tion of unitary matrices using phase masks and the dis- crete fourier transform,
Reference 49
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Unavailable: canonical work link unavailable.
Observation 65e96a76-0be9-4a8c-be47-19a2d674a653 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Single-photon detectors for optical quantum information applications,
Reference 50
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Unavailable: canonical work link unavailable.
Observation 683e7e38-40c0-4f51-99d6-40cda6dfd0a6 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Invited review article: Single-photon sources and detectors,
Reference 51
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Unavailable: canonical work link unavailable.
Observation 9d0551f6-b1d9-4872-a734-848cd1096c9f · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Accurate un- supervised photon counting from transition-edge-sensor signals,
Reference 52
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Unavailable: canonical work link unavailable.
Observation 683415e2-f4a8-4ec0-a7fb-d0f380e7041a · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Training gaussian boson sampling distributions,
Reference 53
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Unavailable: canonical work link unavailable.
Observation 1f157355-e6fb-4534-b97b-82fb500dc364 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Inverting modified matrices,
Reference 54
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Unavailable: canonical work link unavailable.
Observation 23538688-c8ae-49d2-9b00-53ef76ef1a22 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Gaussian boson sampling using threshold detectors,
Reference 55
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Unavailable: canonical work link unavailable.
Observation 2637f1ec-64bd-4564-ae8a-33e2a1bea06c · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Photon-number moments and cumulants of gaussian states,
Reference 56
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Unavailable: canonical work link unavailable.
Observation 932cba64-f69c-408b-bcfd-770d0756d6a5 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Strong simulation of linear optical processes,
Reference 57
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Unavailable: canonical work link unavailable.
Observation 6dc3e68d-484f-4864-a610-ddb7413cdfa4 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Asymptotically fault-tolerant programmable photon- 14 ics,
Reference 58
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.
Observation 0b2fc712-5f2a-4037-9584-16847a46b1b0 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Fast Prediction of Phase shifters Phase Error Distributions Using Gaussian Processes
Reference 59
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.
Observation de3e8f0e-2585-4366-b695-75b5cc5a630d · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Perceval: A Software Platform for Discrete Variable Photonic Quantum Computing,
Reference 60
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Unavailable: canonical work link unavailable.
Observation 30362f67-ac73-4e36-939c-8781da76c350 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Measurement of subpicosecond time intervals between two photons by interference,
Reference 61
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Unavailable: canonical work link unavailable.
Observation d8f3aba0-ae03-445c-ad8b-e8f78b193816 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Exponentially-improved effective descriptions of physical bosonic systems
Reference 62
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Unavailable: canonical work link unavailable.
Observation 7a97ff55-8f32-444e-a9c3-aa2c4eb4b269 · outbound
Parameter-Shift Rules for Gradients in Boson Sampling Experiments Available: https://doi.org/10.1038/ s41586-026-10262-8
Reference 2026
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Unavailable: canonical work link unavailable.
Observation 1387b745-708f-4c1c-9023-8458d0afdc2e · inbound
The trainability of photonic quantum circuits Parameter-Shift Rules for Gradients in Boson Sampling Experiments
Reference 77
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