Paper Citation Record · LEDGER

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform

As of 14 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2608.10674.

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

pith.paper-citation-record.v1
2608.10674 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T19:50:03.257202Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

38 of 38 outbound references displayed

verified exact10
verified fuzzy0
unresolved28
parse uncertain0
malformed identifier0
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External citation measurements

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Outbound references

Observation 36dc522d-cd85-4870-a7bb-0eacb50428b8 · outbound

This paper cites Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.069569Z

Source-reported events for the cited work

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Observation 08f1f515-a1c8-4bd5-92ae-c245b04c7d32 · outbound

This paper cites Quantum fingerprinting.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Quantum fingerprinting

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.076782Z

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Observation cc8030da-af6c-467a-a3ed-13f6c1fe0287 · outbound

This paper cites Unitary Complexity and the Uhlmann Transformation Problem.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Unitary Complexity and the Uhlmann Transformation Problem

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.081601Z

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Observation e404a960-8153-4126-9027-1b87f2a6182b · outbound

This paper cites Quantum Amplitude Amplification and Estimation.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Quantum Amplitude Amplification and Estimation

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.087065Z

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Observation eb8f8eef-5075-4d5b-ae66-4ee37ef5578b · outbound

This paper cites Local transformations of bipartite entanglement are rigid.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Local transformations of bipartite entanglement are rigid

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-12T19:50:04.163815Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9fb87964-35fd-4eb2-ac3f-9d8b167eedde · outbound

This paper cites A list of complexity bounds for property testing by quantum sample-to-query lifting, 2025.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform A list of complexity bounds for property testing by quantum sample-to-query lifting, 2025

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.098045Z

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Observation e21ad8cd-8a9f-4e3b-ad97-c001c31bd9be · outbound

This paper cites Cryptographic Distinguishability Measures for Quantum Mechanical States.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Cryptographic Distinguishability Measures for Quantum Mechanical States

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.103247Z

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Observation 120fd2dc-c5bf-40a3-84a1-071023282384 · outbound

This paper cites Quantum conditional mutual information and approximate Markov chains.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Quantum conditional mutual information and approximate Markov chains

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.107769Z

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

This paper cites Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State.

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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Observation 5da18df5-500d-44c9-ace1-aee664bc37c4 · outbound

This paper cites Improved Quantum Algorithms for Fidelity Estimation.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Improved Quantum Algorithms for Fidelity Estimation

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.126204Z

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Observation d16cdbf0-6f22-45b1-b09c-059d7390df62 · outbound

This paper cites Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.132118Z

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Observation 6ed12e92-d20b-4dfb-ad22-fc140cb46e6a · outbound

This paper cites General teleportation channel, singlet fraction and quasi-distillation.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform General teleportation channel, singlet fraction and quasi-distillation

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.136781Z

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Observation 8b22664d-a3bc-45a6-9f7a-cc0a831ee02c · outbound

This paper cites Fidelity for mixed quantum states.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Fidelity for mixed quantum states

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.141474Z

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Observation 0b0da1ff-8ec5-4d2d-aa68-88305b3983a6 · outbound

This paper cites Universal recovery maps and approximate sufficiency of quantum relative entropy.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Universal recovery maps and approximate sufficiency of quantum relative entropy

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.145974Z

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Observation d36bf342-5be3-404b-be1e-6dc3a9e3d7aa · outbound

This paper cites Parallelization, amplification, and exponential time simulation of quantum interactive proof systems.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Parallelization, amplification, and exponential time simulation of quantum interactive proof systems

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.149996Z

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Observation c9f7e8d0-de92-418c-9230-908ce8713257 · outbound

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

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-12T19:50:03.866017Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d03a3e0b-8c91-4a19-8e1b-ed4a32070a0c · outbound

This paper cites A slightly improved upper bound for quantum statistical zero-knowledge.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform A slightly improved upper bound for quantum statistical zero-knowledge

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-12T19:50:03.849683Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e8d82081-3a12-41a5-b075-acb49abc5060 · outbound

This paper cites Space-bounded quantum state testing via space-efficient quantum singular value transformation.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Space-bounded quantum state testing via space-efficient quantum singular value transformation

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.163838Z

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Observation 10554f3f-dced-4015-b85f-496d4b68e4cd · outbound

This paper cites Random dimension reduction and learning symmetric properties of quantum states.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Random dimension reduction and learning symmetric properties of quantum states

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.168135Z

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Observation 066f86ce-dab8-4485-9719-d9004e6a4f16 · outbound

This paper cites Unconditionally secure quantum bit commitment is impossible.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Unconditionally secure quantum bit commitment is impossible

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-12T19:50:03.821111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 81c89a1b-6a99-4a8d-b931-41c8930f78de · outbound

This paper cites stateQIP = statePSPACE.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform stateQIP = statePSPACE

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-12T19:50:03.805743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d4c1d1d6-0e11-4b08-91ba-b7872ffb4ffb · outbound

This paper cites Nielsen and Isaac L.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Nielsen and Isaac L

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.181306Z

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Observation 40b722f6-0d95-42b5-a7a1-54af343e1a28 · outbound

This paper cites Sending quantum entanglement through noisy channels.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Sending quantum entanglement through noisy channels

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-12T19:50:03.789602Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0cd77cd4-b2bb-4507-b99f-73e95742e422 · outbound

This paper cites Simple Proof of Security of the BB84 Quantum Key Distribution Protocol.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Simple Proof of Security of the BB84 Quantum Key Distribution Protocol

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-12T19:50:03.773710Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c8884807-6770-41af-b72f-1302aeea9319 · outbound

This paper cites Tight Finite-Key Analysis for Quantum Cryptography.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Tight Finite-Key Analysis for Quantum Cryptography

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-12T19:50:03.756086Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f8f8dd95-8620-4534-b869-aa8d01de422c · outbound

This paper cites Conjugate queries can help.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Conjugate queries can help

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.202302Z

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Observation 0f839fdc-d966-46e6-8e81-0b09083354b8 · outbound

This paper cites The ``transition probability'' in the state space of A^* -algebra.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform The ``transition probability'' in the state space of A^* -algebra

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.208072Z

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Observation ea3280e1-0248-4ae3-931e-75ad8f3b1fbd · outbound

This paper cites Quantum algorithms for Uhlmann transformation.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Quantum algorithms for Uhlmann transformation

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.212121Z

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Observation ded9f898-20f5-46ad-806b-5900ddb8c51e · outbound

This paper cites Optimal Trace Distance and Fidelity Estimations for Pure Quantum States.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Optimal Trace Distance and Fidelity Estimations for Pure Quantum States

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.216953Z

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Observation 30c779a8-8d77-493c-8065-83dbd7f91307 · outbound

This paper cites Estimating Fidelity to a Reference Quantum State.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Estimating Fidelity to a Reference Quantum State

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.221031Z

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Observation 42d98d81-72ab-4c9b-a78f-151c75d6d9e1 · outbound

This paper cites A Lower Bound Framework for Quantum Functional Estimation.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform A Lower Bound Framework for Quantum Functional Estimation

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.225431Z

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Observation 6f2313e2-d952-4d01-9ee5-0a5417798b42 · outbound

This paper cites Quantum statistical zero-knowledge.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Quantum statistical zero-knowledge

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.230010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1005d6ba-f047-4e92-ae9d-a3d2feafabdb · outbound

This paper cites Zero-knowledge against quantum attacks.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Zero-knowledge against quantum attacks

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.234274Z

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Observation 1dfe76e2-2fa4-475c-8058-22707937c4d0 · outbound

This paper cites New Quantum Algorithms for Computing Quantum Entropies and Distances.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform New Quantum Algorithms for Computing Quantum Entropies and Distances

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.238220Z

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Observation 3ce361ee-82da-4c53-a859-684821517209 · outbound

This paper cites Quantum lower bounds by sample-to-query lifting.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Quantum lower bounds by sample-to-query lifting

Reference 36

Resolution: verified exact; raw_fallback, observed 2026-08-12T19:50:03.593540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 394b2fbb-f559-4a1f-b546-5bb3b587cd97 · outbound

This paper cites Time-efficient quantum entropy estimator via samplizer.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Time-efficient quantum entropy estimator via samplizer

Reference 37

Resolution: verified exact; raw_fallback, observed 2026-08-12T19:50:03.446228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 643dbf04-8b6d-4681-aed9-d7b898c05500 · outbound

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

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Sample-Optimal Quantum Estimators for Pure-State Trace Distance and Fidelity via Samplizer

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.252799Z

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Observation 8c8214e9-7ab5-4c62-a66c-93c374f9a71a · outbound

This paper cites Quantum Algorithm for Fidelity Estimation.

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform Quantum Algorithm for Fidelity Estimation

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-12T19:50:03.257202Z

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Pith citing papers

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