Paper Citation Record · LEDGER

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State

As of 21 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 4 inbound Pith citation observations for arXiv:2506.23650.

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

pith.paper-citation-record.v1
2506.23650 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:44:58.772448Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:51:12.120416Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-11T23:08:20.431057Z

Reference resolution

34 of 34 outbound references displayed

verified exact2
verified fuzzy3
unresolved24
parse uncertain0
malformed identifier3
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External citation measurements

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Outbound references

Observation d4a2ea6c-1a67-46e1-8708-871f34f3f014 · outbound

This paper cites Distributed quantum inner product estima- tion.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Distributed quantum inner product estima- tion

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:55.578712Z

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Unavailable: canonical work link unavailable.

Observation a126c940-babb-43d9-9518-076bde523954 · outbound

This paper cites Quantum lower bounds by polynomials.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Quantum lower bounds by polynomials

Reference 2

Resolution: malformed identifier; no resolver link, observed 2026-08-06T21:44:55.649860Z

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Observation 93a9e901-759d-478e-a0fa-50a85176451d · outbound

This paper cites Quantum algorithms for classical probability distributions.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Quantum algorithms for classical probability distributions

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:45:00.740178Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 19f0bba4-3233-4148-bbe2-132d24a93993 · outbound

This paper cites Quantum amplitude amplifi- cation and estimation.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Quantum amplitude amplifi- cation and estimation

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:45:00.614050Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9376a837-26c1-4503-bc15-1308ef5773d8 · outbound

This paper cites Quantum fingerprinting.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Quantum fingerprinting

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:55.965250Z

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Observation 0a0c3686-dd41-419c-a527-943b857d47ab · outbound

This paper cites Flammia and Yi-Kai Liu.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Flammia and Yi-Kai Liu

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:56.052591Z

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Observation 05281fed-2682-4855-9b27-be6ef1c382b3 · outbound

This paper cites Distributional property testing in a quantum world.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Distributional property testing in a quantum world

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:56.135918Z

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Observation 70c9fc33-8b2e-4155-9b8e-0abc7bf68cd8 · outbound

This paper cites an unresolved cited work.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:56.222515Z

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Observation 374f9bfe-477f-41a9-b11c-960cf56d44dc · outbound

This paper cites Improved Quantum Algorithms for Fidelity Estimation.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Improved Quantum Algorithms for Fidelity Estimation

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:56.330387Z

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Observation a23a064b-e036-461e-90ff-7fe5cafdc8cb · outbound

This paper cites Sublinear quantum algorithms for estimating von Neumann entropy.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Sublinear quantum algorithms for estimating von Neumann entropy

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:56.464160Z

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Observation 243251b2-1bba-47b9-ad7a-c0237c65cc92 · outbound

This paper cites Quantum Information Theory: Mathematical Foundation.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Quantum Information Theory: Mathematical Foundation

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:56.602366Z

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Observation ba545809-d12f-44cd-8141-0a7ba2d5121f · outbound

This paper cites Fidelity for mixed quantum states.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Fidelity for mixed quantum states

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:56.706201Z

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Observation cccb304a-9e95-480e-89ca-7f4c06abaf7e · outbound

This paper cites Quantum Merlin-Arthur proof systems: are multiple Merlins more helpful to Arthur? Chicago Journal of Theoretical Computer Science, 2009:3, 2009.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Quantum Merlin-Arthur proof systems: are multiple Merlins more helpful to Arthur? Chicago Journal of Theoretical Computer Science, 2009:3, 2009

Reference 13

Resolution: verified exact; doi, observed 2026-08-06T21:44:59.214061Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 33f104af-fb91-4916-b609-ad9726f3a8a0 · outbound

This paper cites Wilde, and Zhicheng Zhang.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Wilde, and Zhicheng Zhang

Reference 14

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T21:45:00.495222Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e1f2bc15-f9fd-482e-b910-b9ee768361dd · outbound

This paper cites On estimating the trace of quantum state powers.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State On estimating the trace of quantum state powers

Reference 15

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Observation eaa68dbe-aa5d-4559-b805-bcfcd397938b · outbound

This paper cites an unresolved cited work.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Unresolved cited work

Reference 16

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Observation e1c927dc-cd34-404f-8076-6c26c4cfd293 · outbound

This paper cites A survey of quantum property testing.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State A survey of quantum property testing

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:57.194857Z

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Observation 9717ac5c-5483-481d-a9dd-14a2e24de7f2 · outbound

This paper cites The quantum query complexity of approximating the median and related statistics.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State The quantum query complexity of approximating the median and related statistics

Reference 18

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T21:44:59.901843Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 47e6abc3-fd02-42fe-bf9c-387f5cd14b01 · outbound

This paper cites Nielsen and Isaac L.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Nielsen and Isaac L

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:45:00.379855Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9990023a-ec11-4ce1-bc3a-cceb3f3402e5 · outbound

This paper cites A survey: SW AP test and its applications to quantum complexity theory.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State A survey: SW AP test and its applications to quantum complexity theory

Reference 20

Resolution: verified exact; doi, observed 2026-08-06T21:44:59.021090Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 446cbb12-331b-4b56-bd91-fa97828a3b5e · outbound

This paper cites an unresolved cited work.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:57.600588Z

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Observation 720f27fc-65b0-434b-8ed2-8dc789e155b7 · outbound

This paper cites Quantum algorithm for estimating α- renyi entropies of quantum states.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Quantum algorithm for estimating α- renyi entropies of quantum states

Reference 22

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T21:45:00.233833Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3fb1f0a4-cc5d-4ccd-92a4-b13eab0b6b63 · outbound

This paper cites transition probability.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State transition probability

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:57.778347Z

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Observation 87a5209b-7d71-4c74-b8c4-44d13a1f803e · outbound

This paper cites Optimal trace distance and fidelity estimations for pure quantum states.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Optimal trace distance and fidelity estimations for pure quantum states

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:57.872593Z

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Observation ed893059-6f3d-4f19-8b9b-f9f71e2a6cad · outbound

This paper cites New quantum algorithms for computing quantum entropies and distances.IEEE Transactions on Information Theory, 70(8):5653–5680, 2024.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State New quantum algorithms for computing quantum entropies and distances.IEEE Transactions on Information Theory, 70(8):5653–5680, 2024

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:57.957528Z

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Observation 506e6206-5aed-48ba-809d-8de96f9c870a · outbound

This paper cites Fast quantum algorithms for trace distance estimation.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Fast quantum algorithms for trace distance estimation

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:58.060012Z

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Observation 380db559-7441-4e05-be9e-b231e81f5a02 · outbound

This paper cites Sample-Optimal Quantum Estimators for Pure-State Trace Distance and Fidelity via Samplizer.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Sample-Optimal Quantum Estimators for Pure-State Trace Distance and Fidelity via Samplizer

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:58.150329Z

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Observation f22c0d13-4d30-454d-bd86-4fd6167e9c78 · outbound

This paper cites Quantum algorithm for fidelity estimation.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Quantum algorithm for fidelity estimation

Reference 28

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T21:44:59.638059Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 53537401-ee2b-47c5-9fec-0a59af103437 · outbound

This paper cites A quantum algorithm framework for discrete probability distributions with applications to R´ enyi entropy estimation.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State A quantum algorithm framework for discrete probability distributions with applications to R´ enyi entropy estimation

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:58.350575Z

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Observation 60cbe4a2-07d4-4068-a4b3-2aabcffad485 · outbound

This paper cites The Trigger Mechanism of Recurrent Solar Active Region Jets Revealed by the Magnetic Properties of a Coronal Geyser Site.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State The Trigger Mechanism of Recurrent Solar Active Region Jets Revealed by the Magnetic Properties of a Coronal Geyser Site

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:58.477228Z

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Observation e41feed9-5a99-429a-8f30-d7f022e54b4b · outbound

This paper cites Zero-knowledge against quantum attacks.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Zero-knowledge against quantum attacks

Reference 31

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Observation 6abaab59-07f3-4c25-a8ef-59c9987d4a03 · outbound

This paper cites The Theory of Quantum Information.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State The Theory of Quantum Information

Reference 32

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Observation a0d3b8ee-7a93-4fa7-bc6c-a4a492671097 · outbound

This paper cites an unresolved cited work.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Unresolved cited work

Reference 33

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Observation 2428591e-e545-4813-80ee-db15e45e6f95 · outbound

This paper cites an unresolved cited work.

Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State Unresolved cited work

Reference 2002

Resolution: unresolved; no resolver link, observed 2026-08-06T21:44:55.880100Z

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Pith citing papers

Observation 5a43b18a-d838-4ee0-a51b-35562ce66d6c · inbound

On estimating Schatten norm and power distances between quantum states cites this paper.

On estimating Schatten norm and power distances between quantum states Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-16T04:51:12.120416Z

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Observation fd27d2e0-c979-4321-bcbc-108e0abf38f0 · inbound

On estimating operator norm distance, with optimal trace distance estimation when one state is pure cites this paper.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-07-11T23:08:20.436197Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 859de3d6-1908-4b89-a3c7-c98125dd78f8 · inbound

The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$ cites this paper.

The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$ Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T21:32:30.995006Z

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Observation 34e10d8a-730f-4bc4-98cf-5127183df088 · inbound

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform cites this paper.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.120439Z

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