Paper Citation Record · LEDGER

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods

As of 6 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2607.28120.

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pith.paper-citation-record.v1
2607.28120 v1

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measured 46 of 46 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-31T17:19:49.307054Z

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Reference resolution

46 of 46 outbound references displayed

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Outbound references

Observation 09e89569-9cf2-4d16-b1cf-99beaa962215 · outbound

This paper cites Montanaro, Quantum algorithms: an overview, npj Quant.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Montanaro, Quantum algorithms: an overview, npj Quant

Reference 1

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Observation 7b5c3359-cba4-4e90-96ee-1f2586e7e790 · outbound

This paper cites an unresolved cited work.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Unresolved cited work

Reference 2

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Observation e6ea4d1e-412f-42b8-8510-49c5f4ab7fb1 · outbound

This paper cites Mind the gaps: The fraught road to quantum advantage.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Mind the gaps: The fraught road to quantum advantage

Reference 3

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Observation 371fc708-ae61-46ef-ac0f-6de42200babb · outbound

This paper cites Abbas, A.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Abbas, A

Reference 4

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Observation bca72568-7209-4a7f-b29c-8e13c0b5449b · outbound

This paper cites Pirnay, V.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Pirnay, V

Reference 5

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Observation 4b296156-1037-4a70-a568-a53ff6213322 · outbound

This paper cites an unresolved cited work.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Unresolved cited work

Reference 6

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Observation 33f52762-32c9-4ff8-8e96-b8e5314c3403 · outbound

This paper cites Quantum Optimization Benchmarking Library - The Intractable Decathlon.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Quantum Optimization Benchmarking Library - The Intractable Decathlon

Reference 7

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Observation dc09289c-d51b-4a67-a976-305e92238f26 · outbound

This paper cites Regev, On lattices, learning with errors, random linear codes, and cryptography, J.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Regev, On lattices, learning with errors, random linear codes, and cryptography, J

Reference 8

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Observation 177dc9f9-f553-459d-b2f2-478a6f964901 · outbound

This paper cites On the Complexity of Decoded Quantum Interferometry.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods On the Complexity of Decoded Quantum Interferometry

Reference 9

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Observation cb7126b6-23a5-4d8c-82cb-d59a67cdf4c7 · outbound

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Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Unresolved cited work

Reference 10

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Observation 045261b1-9b41-4449-9536-ed0726f354da · outbound

This paper cites Approximability limits for bounded-degree max-LINSAT and implications for decoded quantum interferometry.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Approximability limits for bounded-degree max-LINSAT and implications for decoded quantum interferometry

Reference 11

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Observation 745cda05-f3d4-4a4c-9931-4ba2b66d92ca · outbound

This paper cites On Worst-Case Optimal Polynomial Intersection.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods On Worst-Case Optimal Polynomial Intersection

Reference 12

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Observation 4232f96b-e645-4ed4-b675-2e56080145c6 · outbound

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Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Unresolved cited work

Reference 13

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Observation d4793edf-f2b4-4090-8ca6-5c7554df5ac1 · outbound

This paper cites Parekh, No quantum advantage in decoded quantum interfer- ometry for MaxCut, arXiv:2509.19966 (2025).

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Parekh, No quantum advantage in decoded quantum interfer- ometry for MaxCut, arXiv:2509.19966 (2025)

Reference 14

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Observation 22ecffe5-8f72-4d82-8e65-8aad14868be8 · outbound

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Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Unresolved cited work

Reference 15

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Observation 79d8d2f4-3e84-44fe-975c-2fa501a6537f · outbound

This paper cites Sabater, O.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Sabater, O

Reference 16

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Observation 0d8a05f5-4ad7-4c0b-9a3f-5bab8b35dcac · outbound

This paper cites From Constraint to Code: DQI-Kit -- A Software Framework for Decoded Quantum Interferometry.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods From Constraint to Code: DQI-Kit -- A Software Framework for Decoded Quantum Interferometry

Reference 17

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Observation b68c61f9-be0d-47b9-8b87-d9b8ecfe1b4f · outbound

This paper cites Khattar, N.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Khattar, N

Reference 18

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Observation 66309895-921b-4236-a395-5026d299631c · outbound

This paper cites Patamawisut, N.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Patamawisut, N

Reference 19

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Observation 5e6299f4-88d6-4ffe-9c33-6401d1dcedcb · outbound

This paper cites Chailloux and J.-P.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Chailloux and J.-P

Reference 20

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Observation 2a15f40b-9e74-46ea-9a17-43690c7dc348 · outbound

This paper cites Chailloux, OPI x soft decoders, arXiv:2511.22691 (2025).

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Chailloux, OPI x soft decoders, arXiv:2511.22691 (2025)

Reference 21

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Observation 1dfd3efb-f4fb-450d-a68c-ce1b7382b3d8 · outbound

This paper cites Blanvillain, A.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Blanvillain, A

Reference 22

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Observation a425b91c-510a-412e-aa9f-286c475a1501 · outbound

This paper cites Worst-Case Quantum Algorithm for Optimal Polynomial Intersection Beyond Decoded Quantum Interferometry.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Worst-Case Quantum Algorithm for Optimal Polynomial Intersection Beyond Decoded Quantum Interferometry

Reference 23

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Observation d2ec7523-9ecb-466b-8181-7f9c6f8b736b · outbound

This paper cites Gu and S.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Gu and S

Reference 24

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Observation 9f19f774-ebbd-4911-80d6-c92309c5dfc2 · outbound

This paper cites Multivariate Decoded Quantum Interferometry for Weighted Optimization.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Multivariate Decoded Quantum Interferometry for Weighted Optimization

Reference 25

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Observation 949cd5a7-20aa-4ce2-a26d-60d182e437d2 · outbound

This paper cites Schmidhuber, J.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Schmidhuber, J

Reference 26

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Observation 0a0faae7-03ec-4a78-b743-1ce8ff0158cb · outbound

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Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Unresolved cited work

Reference 27

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Observation f9760c11-757e-444f-a738-91a84b873a29 · outbound

This paper cites Hangleiter and J.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Hangleiter and J

Reference 28

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Observation f17c1e0e-6e61-4bdc-aab6-f1451c1ca016 · outbound

This paper cites Liu,Monte Carlo strategies in scientific computing, edited by J.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Liu,Monte Carlo strategies in scientific computing, edited by J

Reference 29

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Observation 3c8e6617-49f5-497d-95ac-c512b854f9e7 · outbound

This paper cites Gilks, S.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Gilks, S

Reference 30

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Observation 1807ee4e-f8a5-4e64-acec-a9bc54b8a98b · outbound

This paper cites Robert and G.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Robert and G

Reference 31

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Observation 97f4f8f5-3eb6-4bc0-a6f1-c6c7b4722db2 · outbound

This paper cites The Computational Complexity of Linear Optics.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods The Computational Complexity of Linear Optics

Reference 32

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Observation dad3d823-a75c-41de-ac14-0cdcf0d583e3 · outbound

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Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Unresolved cited work

Reference 33

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Observation 3dfb2d85-0607-4b13-935c-a6db9fd71698 · outbound

This paper cites H˚astad, Some optimal inapproximability results, J.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods H˚astad, Some optimal inapproximability results, J

Reference 34

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Observation be53f1f5-9844-45ed-8bc7-2607a923b84e · outbound

This paper cites Efficient Exact Quantum Sampling from the Sun-Wootters Distribution for Optimal Polynomial Intersection.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Efficient Exact Quantum Sampling from the Sun-Wootters Distribution for Optimal Polynomial Intersection

Reference 35

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Observation 2ef26c19-f7c2-462f-8a87-15eb4be32756 · outbound

This paper cites Optimization Using Locally-Quantum Decoders.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Optimization Using Locally-Quantum Decoders

Reference 36

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Observation 8807a19e-77bd-4200-95be-33858a5a4f14 · outbound

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Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Unresolved cited work

Reference 37

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Observation b8954e01-734b-4420-9c63-ec177553e534 · outbound

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Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Unresolved cited work

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Observation efe3fe2b-1b9c-48f9-84ea-56b49b1f358c · outbound

This paper cites Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods

Reference 39

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Observation 4f4d7262-0d49-4d59-b415-a44a3e102e42 · outbound

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Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Unresolved cited work

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Observation 3319f622-e49d-4c8e-b419-e7fe09eda71b · outbound

This paper cites One natural way to define a decisionproblem would be, given a thresholdα∈Z, decide between: •YES: if there existsx∈F n 2 such thatf(x)≥α.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods One natural way to define a decisionproblem would be, given a thresholdα∈Z, decide between: •YES: if there existsx∈F n 2 such thatf(x)≥α

Reference 41

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Observation 965d3618-ff87-48c6-82af-4081859f1c60 · outbound

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Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Unresolved cited work

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Observation 5ea4237c-b67d-4a44-80be-642e0e755c98 · outbound

This paper cites (b) Query the oracle.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods (b) Query the oracle

Reference 43

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Observation a1ecdb15-414e-4768-b89d-5bad49f5a413 · outbound

This paper cites Under the promise that a solution exists, Oα ((⊥)n) =YES , we reach a solution x after n queries.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods Under the promise that a solution exists, Oα ((⊥)n) =YES , we reach a solution x after n queries

Reference 44

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Observation d3e978b8-efb2-4eeb-b918-602856b152f5 · outbound

This paper cites breaks down.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods breaks down

Reference 45

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Observation 50d56795-65dd-450d-9727-89568d6d263c · outbound

This paper cites From decoding being NP-hard, it follows that certain structure is required for DQI to perform well.

Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods From decoding being NP-hard, it follows that certain structure is required for DQI to perform well

Reference 46

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