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Paper Citation Record · LEDGER

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling

As of 19 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.

pith.paper-citation-record.v1
2607.22088 v1

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T06:00:12.349925Z

measured 54 of 54 standing notices

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

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

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Reference resolution

54 of 54 outbound references displayed

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External citation measurements

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Outbound references

Observation 35d4f028-ab97-4128-a835-27a5f7a7a7a7 · outbound

This paper cites Quantum computational advantage via 60-qubit 24-cycle random circuit sampling,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Quantum computational advantage via 60-qubit 24-cycle random circuit sampling,

Reference 1

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Observation cd04ec96-d40d-4499-a430-865a2b7576c4 · outbound

This paper cites Quantum computa- tional advantage via high-dimensional Gaussian boson sampling,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Quantum computa- tional advantage via high-dimensional Gaussian boson sampling,

Reference 2

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source=pdf_text observed=2026-08-01T06:00:07.127011Z digest=sha256:b679b520154e393de571fbb3d8ca78ce26a4378f3e931ea2fb3bc24dcf6327ff

Observation c10eb7a2-388e-43c0-931a-032979cbbac7 · outbound

This paper cites Quantum computational advantage with a programmable photonic processor,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Quantum computational advantage with a programmable photonic processor,

Reference 3

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source=pdf_text observed=2026-08-01T06:00:07.332490Z digest=sha256:55c546e1685ed024b7e787e5cba5930d505633dc18973378b068532f08b58aa8

Observation 2a127771-126c-4b13-aefd-4bb68408094c · outbound

This paper cites Strong quantum computational advantage using a superconducting quantum processor,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Strong quantum computational advantage using a superconducting quantum processor,

Reference 4

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source=pdf_text observed=2026-08-01T06:00:07.573172Z digest=sha256:1d89cafef58b1bf1ec78661d7fa680c386a9e421f3b38492c0814f95b3440d5b

Observation d07ce067-a943-49a9-8b7e-244fe90b26f5 · outbound

This paper cites Quantum computational advantage using photons,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Quantum computational advantage using photons,

Reference 5

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source=pdf_text observed=2026-08-01T06:00:07.650016Z digest=sha256:12c47570b3ba7bfacc2bce4db7818234604b7755606de7df58bf8a6cbdce8021

Observation d12340f1-7907-484d-b2a2-2e00ba79a52b · outbound

This paper cites Quantum supremacy using a programmable superconducting processor,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Quantum supremacy using a programmable superconducting processor,

Reference 6

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source=pdf_text observed=2026-08-01T06:00:07.761699Z digest=sha256:5bdc9aa277be568e9ee38c78821093d40cfd1635147af3083fb82b0f6bdc4eef

Observation 00b64da8-1aec-4880-a26e-c73de6db7d38 · outbound

This paper cites Characterizing quantum supremacy in near-term devices,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Characterizing quantum supremacy in near-term devices,

Reference 7

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source=pdf_text observed=2026-08-01T06:00:07.861851Z digest=sha256:77a3ad0b3bf20ae2058a13a71d8182d15c9e499cd8e048da0b1a3ac9c9ec563b

Observation df40565e-6319-42c8-adca-21c5df7687c9 · outbound

This paper cites Quantum sampling problems, BosonSampling and quantum supremacy,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Quantum sampling problems, BosonSampling and quantum supremacy,

Reference 8

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source=pdf_text observed=2026-08-01T06:00:07.964773Z digest=sha256:9c2e6668ac54461865023f583b877752d18d95d09fcd6b9bbc9205166dd5589a

Observation 0aff6024-e94c-48bd-be95-9085f2e46859 · outbound

This paper cites Quantum supremacy, here we come,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Quantum supremacy, here we come,

Reference 9

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source=pdf_text observed=2026-08-01T06:00:08.067820Z digest=sha256:0c4e19f0cd8477a9c379c76d6c3639e127c5c5c2fa3888384abc819beca5ace1

Observation 6e6c643f-7c06-4224-a80e-625dc89b48c7 · outbound

This paper cites Establishing the quantum supremacy frontier with a 281 pflop/s simulation,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Establishing the quantum supremacy frontier with a 281 pflop/s simulation,

Reference 10

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source=pdf_text observed=2026-08-01T06:00:08.138711Z digest=sha256:d3446a6f03a4de3b637c6727e36f81a2a94c408e7db0f7ba44a6f5a7952c5532

Observation d12de270-5efd-49e9-9f18-afe740e62a93 · outbound

This paper cites Quantum computational supremacy,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Quantum computational supremacy,

Reference 11

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source=pdf_text observed=2026-08-01T06:00:08.223166Z digest=sha256:6db167a89e81d5184c28905907b3fefc69e8dbf9f81ead0a19d12d690e4284f2

Observation 89aac79f-8055-4453-b2bd-f9f6afeef1f1 · outbound

This paper cites Computational advantage of quantum random sampling,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Computational advantage of quantum random sampling,

Reference 12

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source=pdf_text observed=2026-08-01T06:00:08.309617Z digest=sha256:218767888850c10c396fa9e2a8d4394767b1b424007f72e64698f98a563271ff

Observation 8b52c499-49db-4273-ae37-2e1c0718efac · outbound

This paper cites The computational complexity of linear optics,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling The computational complexity of linear optics,

Reference 13

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source=pdf_text observed=2026-08-01T06:00:08.401118Z digest=sha256:df15cce1eb2267810ecb11ab5c9c5779ea8b8f46b33d94276e32e3f6a13a5a5b

Observation 82b7b190-294f-46d7-be95-713a5c607a0d · outbound

This paper cites Experimental boson sampling,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Experimental boson sampling,

Reference 14

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source=pdf_text observed=2026-08-01T06:00:08.489912Z digest=sha256:0e3915d92afdfd073181b840f2041d4fdac7397083aba2e893c675a843aadb87

Observation 453c6742-cac7-4118-8c7f-a7abb8f81e7d · outbound

This paper cites Gaussian boson sampling,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Gaussian boson sampling,

Reference 15

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source=pdf_text observed=2026-08-01T06:00:08.588979Z digest=sha256:9aeed065faa9dbf317b28d6aa14e7ffbea524a9bf9f401a3603b9c1a31b5353b

Observation a96dd302-22db-4b17-b9c6-9117640a740b · outbound

This paper cites Photonic implementation of boson sampling: a review,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Photonic implementation of boson sampling: a review,

Reference 16

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source=pdf_text observed=2026-08-01T06:00:08.680857Z digest=sha256:40903b30df5b1ee1fc360ebad7e82e1ebdd7a1c251cf420558e368f72b032eaa

Observation 4a99fa85-878d-4b90-9fde-cc6fab3a944a · outbound

This paper cites Boson sampling on a photonic chip,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Boson sampling on a photonic chip,

Reference 17

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Observation ac3744b2-5cc3-4546-afaa-7d631193d1e2 · outbound

This paper cites High-efficiency multiphoton boson sampling,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling High-efficiency multiphoton boson sampling,

Reference 18

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Observation e491450e-f87f-489c-a4a9-6cbe72ca6f42 · outbound

This paper cites Boson sampling from a Gaussian state,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Boson sampling from a Gaussian state,

Reference 19

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Observation 55fd71c3-6f62-4634-8310-57927104321c · outbound

This paper cites Experimental scattershot boson sampling,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Experimental scattershot boson sampling,

Reference 20

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source=pdf_text observed=2026-08-01T06:00:09.041943Z digest=sha256:61256abdf7a3e0343b9863ecc6194f5244a93c7360cc6d9c274ffbdd5bce9ab8

Observation 49c3a594-0eb2-42e8-8a27-e6bc45aa94d5 · outbound

This paper cites An introduction to boson-sampling,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling An introduction to boson-sampling,

Reference 21

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source=pdf_text observed=2026-08-01T06:00:09.136015Z digest=sha256:c3c6c22f78071ca110e49e39ba1f9b4b514bfced2c21edeaeab365759575fa63

Observation f56a7ce5-1fe4-455a-8d23-3d7f821b8907 · outbound

This paper cites Instantaneous Quantum Computation.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Instantaneous Quantum Computation

Reference 22

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source=pdf_text observed=2026-08-01T06:00:09.233496Z digest=sha256:777a96e075c266df27b6ae691cec3d2cd9fe348edbf4f7a045f0a940d6c09e2f

Observation 52413217-46b6-41f1-80ae-b801bb298755 · outbound

This paper cites Classical simulation of commuting quantum computations implies collapse of the polynomial hierarchy,.

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

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Observation b645e3d4-4baf-4e16-9379-4899beb41a60 · outbound

This paper cites Average-case complexity versus approximate simulation of commuting quantum computations,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Average-case complexity versus approximate simulation of commuting quantum computations,

Reference 24

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source=pdf_text observed=2026-08-01T06:00:09.428181Z digest=sha256:b65f404b119c444cb422cad82d2c672b2462efd3bbb89a8b87bd5e13f231ebf6

Observation 2af851eb-5f77-41d3-955f-41adf41a6ccd · outbound

This paper cites Achieving quantum supremacy with sparse and noisy commuting quantum computations.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Achieving quantum supremacy with sparse and noisy commuting quantum computations

Reference 25

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Observation 7d62186e-e0c2-4095-84b5-7939f8aa3609 · outbound

This paper cites Instantaneous quantum polynomial-time sampling and verifiable quantum advantage: Stabilizer scheme and classical security,.

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

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Observation 03447226-266e-410f-b287-b2ee8d1ff1c3 · outbound

This paper cites Boundaries of quantum supremacy via random circuit sampling,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Boundaries of quantum supremacy via random circuit sampling,

Reference 27

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source=pdf_text observed=2026-08-01T06:00:09.791941Z digest=sha256:454318727d431e5a1e8252200e6cefc09dc56cb0454a89a2427b41b0b0903e76

Observation ebb3ed4e-47e0-41c7-aacb-5c334c3a2e10 · outbound

This paper cites On the complex- ity and verification of quantum random circuit sampling,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling On the complex- ity and verification of quantum random circuit sampling,

Reference 28

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source=pdf_text observed=2026-08-01T06:00:09.890385Z digest=sha256:28e54201383e11b03be7b92db902563703a4e55e27dd8294c52ad5ca1c593c7b

Observation aaba8bb8-f343-482a-acb1-9198ed2ab2f3 · outbound

This paper cites Solving graph problems using Gaussian boson sampling,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Solving graph problems using Gaussian boson sampling,

Reference 29

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source=pdf_text observed=2026-08-01T06:00:09.989709Z digest=sha256:756f2e62d637a74e2e01bac6e5f95ccf4ea7234532bb96cf41b9db357a75f846

Observation 74530854-983a-4aed-a79d-d670061b3635 · outbound

This paper cites Using Gaussian boson sampling to find dense subgraphs,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Using Gaussian boson sampling to find dense subgraphs,

Reference 30

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source=pdf_text observed=2026-08-01T06:00:10.061626Z digest=sha256:0de1ea80951b8cdb344464a328eae2cb23bdbc241d5845600d4dbf75c28275bc

Observation 2ab79a49-0b6a-4b24-8677-b9bf3561984c · outbound

This paper cites Gaussian boson sampling for perfect matchings of arbitrary graphs,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Gaussian boson sampling for perfect matchings of arbitrary graphs,

Reference 31

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source=pdf_text observed=2026-08-01T06:00:10.136132Z digest=sha256:d6a778ed2e288d03cb7353c6649179473d5e062546e782a6a6a0a1278ce9e577

Observation cf1b3225-ec99-4c6a-b912-b8547bce707d · outbound

This paper cites Toward scalable boson sampling with photon loss,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Toward scalable boson sampling with photon loss,

Reference 32

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source=pdf_text observed=2026-08-01T06:00:10.208270Z digest=sha256:63802fa767ca154693e94ee2f120590fe52c5a32cffe29da0f839a3895511130

Observation e3e3189c-7db0-4dc0-b04a-d5ee12bc9c60 · outbound

This paper cites Experimental validation of photonic boson sampling,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Experimental validation of photonic boson sampling,

Reference 33

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source=pdf_text observed=2026-08-01T06:00:10.292061Z digest=sha256:600c10cddbe2fb2446ac1fa139c09d607c06184a6855ece5448f458fdbcf06e0

Observation 51510064-08da-4035-bab5-246c2bd42c26 · outbound

This paper cites Experimental Gaussian boson sampling,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Experimental Gaussian boson sampling,

Reference 34

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source=pdf_text observed=2026-08-01T06:00:10.397466Z digest=sha256:4b94577a0ef53845009ee6b55ca05828a468bc304c7b3eb17cc960d820e837a8

Observation 22495d16-9975-42c4-82c2-e51f78dd6f6b · outbound

This paper cites Boson sampling with 20 input photons and a 60-mode interferometer in a10 14-dimensional Hilbert space,.

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

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source=pdf_text observed=2026-08-01T06:00:10.469014Z digest=sha256:13fddd92225c388c949c5ecbaad08ca7782ed306be618e059738e7e3c9d38a9a

Observation 5f108b86-1452-4a31-a523-063fa438e730 · outbound

This paper cites Boson sampling with single- photon Fock states from a bright solid-state source,.

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

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source=pdf_text observed=2026-08-01T06:00:10.563825Z digest=sha256:1793e864c4f647eca4f90e532d8b88db95a24755e3274306c1f0ed63f9898c87

Observation c529e8b9-5b85-40b2-8a63-592d6cd6b0a7 · outbound

This paper cites Photonic boson sampling in a tunable circuit,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Photonic boson sampling in a tunable circuit,

Reference 37

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source=pdf_text observed=2026-08-01T06:00:10.638523Z digest=sha256:318d6fb49bea80b23ec5ec99892cc6f9e3834742bd5e4c932980f138da6031f3

Observation f64fe75e-59dd-49e0-9100-9d2b5f67f3a5 · outbound

This paper cites Complexity-theoretic foundations of BosonSampling with a linear number of modes.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Complexity-theoretic foundations of BosonSampling with a linear number of modes

Reference 38

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source=pdf_text observed=2026-08-01T06:00:10.741840Z digest=sha256:334be6e09fa4ef95272f3e41c660a614ac6d75f6c4e55ed088ee697b4d6eb3ab

Observation 7ec60e14-15d8-491d-a847-68e6436c8685 · outbound

This paper cites Permanent of random matrices from representation theory: moments, numerics, concentration, and comments on hardness of boson-sampling.

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

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no resolver link, observed 2026-08-01T06:00:10.833197Z

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source=pdf_text observed=2026-08-01T06:00:10.833197Z digest=sha256:9ea019fa7339f8700e97ad1d22d2db1dd81f7b1e16da2179ad9de5a10d3af7e0

Observation e0676681-c684-4b75-862f-06292f2e6c3c · outbound

This paper cites Boson sampling beyond the dilute regime: second moments and anti-concentration.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Boson sampling beyond the dilute regime: second moments and anti-concentration

Reference 40

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no resolver link, observed 2026-08-01T06:00:10.945520Z

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source=pdf_text observed=2026-08-01T06:00:10.945520Z digest=sha256:412e385d7438f42a96a2be06bf7468716b19e9ae3f5400dd1cd9606bd3a74ebb

Observation d6ebcc83-1df8-4c64-b7ce-1552101379dd · outbound

This paper cites General framework for anticoncentration and linear cross-entropy benchmarking in photonic quantum advantage experiments.

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

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unresolved
no resolver link, observed 2026-08-01T06:00:11.054998Z

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source=pdf_text observed=2026-08-01T06:00:11.054998Z digest=sha256:a166fb769fbe18aaa27dc65925eba70e9a68b71f260d9b146d2316ffe6b94883

Observation e80c12ef-c65a-4907-bfe1-f954ce41ae6f · outbound

This paper cites Second moment of Hafnians in Gaussian boson sampling,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Second moment of Hafnians in Gaussian boson sampling,

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-01T06:00:11.164529Z

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source=pdf_text observed=2026-08-01T06:00:11.164529Z digest=sha256:7906a06d80673ae7dc21872293278fad26a8e5f7679bd77a4915a83ecc6e3ba2

Observation 1bbdeb3d-154e-452d-997a-f52651d0969e · outbound

This paper cites Transition of anticoncentration in Gaussian boson sampling,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Transition of anticoncentration in Gaussian boson sampling,

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-01T06:00:11.334554Z

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source=pdf_text observed=2026-08-01T06:00:11.334554Z digest=sha256:7630338c872aa8c500128515d88dd884406934915bfbcceb51ed37b1dc2888c5

Observation f3d32ea0-6f89-4b43-9f26-31d263977bfb · outbound

This paper cites Barvinok,Combinatorics and complexity of partition functions, ser.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Barvinok,Combinatorics and complexity of partition functions, ser

Reference 44

Resolution
verified exact
doi, observed 2026-08-01T06:04:22.204277Z

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.

source=pdf_text observed=2026-08-01T06:00:11.437090Z digest=sha256:5cd20845ff0f1cf491fe574f4e991c1ce2b47db52fccf7632f6ceee1861e258b

Observation a54653b0-2980-489d-acbd-bcd7406b7ef7 · outbound

This paper cites On the permanent of random Bernoulli matrices,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling On the permanent of random Bernoulli matrices,

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-01T06:00:11.529011Z

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source=pdf_text observed=2026-08-01T06:00:11.529011Z digest=sha256:5fdaa696307c926dc69fef7972572be952301bd0ea5f016c05f5a3ab64a20d1c

Observation 80c46e26-4f75-4103-9817-cae6b414c7d1 · outbound

This paper cites On the permanent of a random symmetric matrix,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling On the permanent of a random symmetric matrix,

Reference 46

Resolution
verified exact
doi, observed 2026-08-01T06:04:22.001646Z

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.

source=pdf_text observed=2026-08-01T06:00:11.651921Z digest=sha256:636ed94c6f105c972db19a1f4e14d8ba69b862d51e3587407dfc800462443a34

Observation 50c208b1-2ab7-4143-b4cd-557d20eaa521 · outbound

This paper cites Exponential anticoncentration of the permanent,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Exponential anticoncentration of the permanent,

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-01T06:00:11.730043Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-01T06:00:11.730043Z digest=sha256:e0cbdcca67afc070e144cda8fe339ff0d2fd21d5f81eeebdfcb75c17284758dd

Observation 7348f5b4-c685-44ad-9f68-e66ccb9d9fe5 · outbound

This paper cites Exponential improvements to the average-case hardness of BosonSampling,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Exponential improvements to the average-case hardness of BosonSampling,

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-01T06:00:11.810416Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-01T06:00:11.810416Z digest=sha256:29a38687247c80d12144035cc20a38a957e59ec790de5b1b73294ecfd0bfe4e5

Observation 7cae1e84-b52b-4be4-90a6-ab812c0b147b · outbound

This paper cites The complexity of computing the permanent,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling The complexity of computing the permanent,

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-01T06:00:11.984313Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-01T06:00:11.984313Z digest=sha256:e0b3a4ac86e220d577569f34b12fe408d97009edd445e079f41b11520b1607ce

Observation b5a0ccf0-abe2-4aad-936c-638b07a5eeda · outbound

This paper cites PP is as hard as the polynomial-time hierarchy,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling PP is as hard as the polynomial-time hierarchy,

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-01T06:00:12.097394Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-01T06:00:12.097394Z digest=sha256:eb3405197bde2ef8f788f6b9d4af16a43e23bcc40f02589662a38c33884d87c1

Observation 27704bd0-57bb-4f63-8921-47886fa0798b · outbound

This paper cites On a lemma of Littlewood and Offord,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling On a lemma of Littlewood and Offord,

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-01T06:00:12.181781Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-01T06:00:12.181781Z digest=sha256:abea6cc66a0c686bc5aefcaa8f73251962450767fde3397df4415c1704b66867

Observation 97b94d82-a871-4469-a8e6-6afcbe1e2402 · outbound

This paper cites On the method of bounded differences,.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling On the method of bounded differences,

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-01T06:00:12.269778Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-01T06:00:12.269778Z digest=sha256:1fe2f1b6821b6bbb9b0dbcf44c3f626b240961f303dea11c69cf8fbefebd5812

Observation d984f8b9-4bcd-4bb2-8c28-798c2137afff · outbound

This paper cites Alon and J.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Alon and J

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-01T06:00:12.349925Z

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source=pdf_text observed=2026-08-01T06:00:12.349925Z digest=sha256:eeba02b172e948ed0cc0cda6b3b85422fbb862f409bdb81bf6a9f955b6008dfe

Observation f84f071a-a3f6-43aa-93f3-e7ff7bb96631 · outbound

This paper cites Available: https://link.aps.org/doi/10.1103/PhysRevLett.

Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling Available: https://link.aps.org/doi/10.1103/PhysRevLett

Reference 2016

Resolution
malformed identifier
no resolver link, observed 2026-08-01T06:00:09.526872Z

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source=pdf_text observed=2026-08-01T06:00:09.526872Z digest=sha256:f786d609a00b95e09a12e86761faba4aeb96f8a687ab606470a1d4b861095f12

Pith citing papers

No inbound Pith citation observations are available.