Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-01T06:00:12.349925Z
Paper Citation Record · LEDGER
As of 9 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2607.22088.
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 2026-08-01T06:00:12.349925Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
54 of 54 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 35d4f028-ab97-4128-a835-27a5f7a7a7a7 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Quantum computational advantage via 60-qubit 24-cycle random circuit sampling,
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cd04ec96-d40d-4499-a430-865a2b7576c4 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Quantum computa- tional advantage via high-dimensional Gaussian boson sampling,
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c10eb7a2-388e-43c0-931a-032979cbbac7 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Quantum computational advantage with a programmable photonic processor,
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2a127771-126c-4b13-aefd-4bb68408094c · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Strong quantum computational advantage using a superconducting quantum processor,
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d07ce067-a943-49a9-8b7e-244fe90b26f5 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Quantum computational advantage using photons,
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d12340f1-7907-484d-b2a2-2e00ba79a52b · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Quantum supremacy using a programmable superconducting processor,
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 00b64da8-1aec-4880-a26e-c73de6db7d38 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Characterizing quantum supremacy in near-term devices,
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df40565e-6319-42c8-adca-21c5df7687c9 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Quantum sampling problems, BosonSampling and quantum supremacy,
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0aff6024-e94c-48bd-be95-9085f2e46859 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Quantum supremacy, here we come,
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6e6c643f-7c06-4224-a80e-625dc89b48c7 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Establishing the quantum supremacy frontier with a 281 pflop/s simulation,
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d12de270-5efd-49e9-9f18-afe740e62a93 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Quantum computational supremacy,
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89aac79f-8055-4453-b2bd-f9f6afeef1f1 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Computational advantage of quantum random sampling,
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8b52c499-49db-4273-ae37-2e1c0718efac · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling The computational complexity of linear optics,
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 82b7b190-294f-46d7-be95-713a5c607a0d · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Experimental boson sampling,
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 453c6742-cac7-4118-8c7f-a7abb8f81e7d · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Gaussian boson sampling,
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a96dd302-22db-4b17-b9c6-9117640a740b · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Photonic implementation of boson sampling: a review,
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4a99fa85-878d-4b90-9fde-cc6fab3a944a · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Boson sampling on a photonic chip,
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac3744b2-5cc3-4546-afaa-7d631193d1e2 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling High-efficiency multiphoton boson sampling,
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e491450e-f87f-489c-a4a9-6cbe72ca6f42 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Boson sampling from a Gaussian state,
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 55fd71c3-6f62-4634-8310-57927104321c · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Experimental scattershot boson sampling,
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 49c3a594-0eb2-42e8-8a27-e6bc45aa94d5 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling An introduction to boson-sampling,
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f56a7ce5-1fe4-455a-8d23-3d7f821b8907 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Instantaneous Quantum Computation
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 52413217-46b6-41f1-80ae-b801bb298755 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Classical simulation of commuting quantum computations implies collapse of the polynomial hierarchy,
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b645e3d4-4baf-4e16-9379-4899beb41a60 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Average-case complexity versus approximate simulation of commuting quantum computations,
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2af851eb-5f77-41d3-955f-41adf41a6ccd · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Achieving quantum supremacy with sparse and noisy commuting quantum computations
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7d62186e-e0c2-4095-84b5-7939f8aa3609 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Instantaneous quantum polynomial-time sampling and verifiable quantum advantage: Stabilizer scheme and classical security,
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 03447226-266e-410f-b287-b2ee8d1ff1c3 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Boundaries of quantum supremacy via random circuit sampling,
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ebb3ed4e-47e0-41c7-aacb-5c334c3a2e10 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling On the complex- ity and verification of quantum random circuit sampling,
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aaba8bb8-f343-482a-acb1-9198ed2ab2f3 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Solving graph problems using Gaussian boson sampling,
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 74530854-983a-4aed-a79d-d670061b3635 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Using Gaussian boson sampling to find dense subgraphs,
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2ab79a49-0b6a-4b24-8677-b9bf3561984c · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Gaussian boson sampling for perfect matchings of arbitrary graphs,
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cf1b3225-ec99-4c6a-b912-b8547bce707d · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Toward scalable boson sampling with photon loss,
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e3e3189c-7db0-4dc0-b04a-d5ee12bc9c60 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Experimental validation of photonic boson sampling,
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 51510064-08da-4035-bab5-246c2bd42c26 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Experimental Gaussian boson sampling,
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 22495d16-9975-42c4-82c2-e51f78dd6f6b · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Boson sampling with 20 input photons and a 60-mode interferometer in a10 14-dimensional Hilbert space,
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5f108b86-1452-4a31-a523-063fa438e730 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Boson sampling with single- photon Fock states from a bright solid-state source,
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c529e8b9-5b85-40b2-8a63-592d6cd6b0a7 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Photonic boson sampling in a tunable circuit,
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f64fe75e-59dd-49e0-9100-9d2b5f67f3a5 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Complexity-theoretic foundations of BosonSampling with a linear number of modes
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7ec60e14-15d8-491d-a847-68e6436c8685 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Permanent of random matrices from representation theory: moments, numerics, concentration, and comments on hardness of boson-sampling
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e0676681-c684-4b75-862f-06292f2e6c3c · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Boson sampling beyond the dilute regime: second moments and anti-concentration
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d6ebcc83-1df8-4c64-b7ce-1552101379dd · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling General framework for anticoncentration and linear cross-entropy benchmarking in photonic quantum advantage experiments
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e80c12ef-c65a-4907-bfe1-f954ce41ae6f · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Second moment of Hafnians in Gaussian boson sampling,
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1bbdeb3d-154e-452d-997a-f52651d0969e · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Transition of anticoncentration in Gaussian boson sampling,
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3d32ea0-6f89-4b43-9f26-31d263977bfb · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Barvinok,Combinatorics and complexity of partition functions, ser
Reference 44
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 a54653b0-2980-489d-acbd-bcd7406b7ef7 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling On the permanent of random Bernoulli matrices,
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 80c46e26-4f75-4103-9817-cae6b414c7d1 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling On the permanent of a random symmetric matrix,
Reference 46
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 50c208b1-2ab7-4143-b4cd-557d20eaa521 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Exponential anticoncentration of the permanent,
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7348f5b4-c685-44ad-9f68-e66ccb9d9fe5 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Exponential improvements to the average-case hardness of BosonSampling,
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7cae1e84-b52b-4be4-90a6-ab812c0b147b · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling The complexity of computing the permanent,
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b5a0ccf0-abe2-4aad-936c-638b07a5eeda · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling PP is as hard as the polynomial-time hierarchy,
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 27704bd0-57bb-4f63-8921-47886fa0798b · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling On a lemma of Littlewood and Offord,
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 97b94d82-a871-4469-a8e6-6afcbe1e2402 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling On the method of bounded differences,
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d984f8b9-4bcd-4bb2-8c28-798c2137afff · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Alon and J
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f84f071a-a3f6-43aa-93f3-e7ff7bb96631 · outbound
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Available: https://link.aps.org/doi/10.1103/PhysRevLett
Reference 2016
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.