Paper Citation Record · LEDGER

Simultaneous Estimation of Nonlinear Functionals of a Quantum State

As of 17 August 2026, this Paper Citation Record lists 71 of 71 outbound references and 3 inbound Pith citation observations for arXiv:2505.16715.

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

pith.paper-citation-record.v1
2505.16715 v1

Coverage vector

measured 71 of 71 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T15:07:31.573950Z

measured 74 of 74 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:02:03.314274Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T19:03:52.145211Z

Reference resolution

71 of 71 outbound references displayed

verified exact14
verified fuzzy0
unresolved55
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Outbound references

Observation c488ff49-4482-4098-b5c0-6ce692cec098 · outbound

This paper cites Shadow tomography of quantum states.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Shadow tomography of quantum states

Reference 1

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Observation 3dc7570c-301d-4040-be16-eaab896d074e · outbound

This paper cites Quantum algorithmic measurement.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Quantum algorithmic measurement

Reference 2

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Observation 66c52108-452d-4c38-a12e-c0a11bfce5ce · outbound

This paper cites Shende, and Aaron B.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Shende, and Aaron B

Reference 3

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Observation 727435e6-d3e3-434e-be75-b151b788df1b · outbound

This paper cites A polynomial quantum algorithm for approximating the Jones polynomial.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State A polynomial quantum algorithm for approximating the Jones polynomial

Reference 4

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Observation 6e8aa5ee-332b-4a67-b17d-73fb0ed7fc72 · outbound

This paper cites Distributed quantum inner product estimation.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Distributed quantum inner product estimation

Reference 5

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Observation 167eaa81-de41-4da3-8d3e-838e67cd9e41 · outbound

This paper cites Quantum fingerprinting.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Quantum fingerprinting

Reference 6

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Observation f76d1232-9d93-4b28-b99b-d28bebef8a8c · outbound

This paper cites Quantum amplitude amplification and estimation.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Quantum amplitude amplification and estimation

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:25.940198Z

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Observation fc503904-6b88-4570-8836-a9cbdf6b6aac · outbound

This paper cites Improved quantum data analysis.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Improved quantum data analysis

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:26.015079Z

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Observation 3869eb1b-8df6-4a66-b81e-45d14e32ba5f · outbound

This paper cites Quantum state certification.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Quantum state certification

Reference 9

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Observation c619938a-5ead-43bf-8b16-ac08d2edada5 · outbound

This paper cites an unresolved cited work.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Unresolved cited work

Reference 10

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Observation 56ecee66-1d53-4a54-9117-d1642f4a8205 · outbound

This paper cites Exponential separations between learning with and without quantum memory.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Exponential separations between learning with and without quantum memory

Reference 11

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Observation 01769395-9f8d-49ff-a846-4edc9b41d610 · outbound

This paper cites Eric Tai, Matthew Rispoli, Robert Schittko, Philipp M.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Eric Tai, Matthew Rispoli, Robert Schittko, Philipp M

Reference 12

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Observation b763eded-bd0c-4b2b-bb7c-112a6156c9c8 · outbound

This paper cites Mucciolo.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Mucciolo

Reference 13

Resolution: verified exact; doi, observed 2026-08-07T15:07:33.782204Z

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Observation deaa569d-ed1c-4861-978b-38618a8df2ee · outbound

This paper cites The quantum complexity of computing Schatten p -norms.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State The quantum complexity of computing Schatten p -norms

Reference 14

Resolution: verified exact; doi, observed 2026-08-07T15:07:33.617277Z

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Observation 465e34ba-e5c0-47dd-b51a-9de02552f12e · outbound

This paper cites Improved sample upper and lower bounds for trace estimation of quantum state powers.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Improved sample upper and lower bounds for trace estimation of quantum state powers

Reference 15

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Observation a0b23033-bfdc-48d5-971c-ce37854ce8dd · outbound

This paper cites Unitarity estimation for quantum channels.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Unitarity estimation for quantum channels

Reference 16

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Observation cdc95b35-1e8a-460f-9f43-dece210436cb · outbound

This paper cites De Chiara, L.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State De Chiara, L

Reference 17

Resolution: verified exact; doi, observed 2026-08-07T15:07:33.477923Z

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Observation ec4cf372-e264-4c3b-a85a-a9ec30cf6247 · outbound

This paper cites Optimal randomized measurements for a family of non-linear quantum properties.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Optimal randomized measurements for a family of non-linear quantum properties

Reference 18

Resolution: verified exact; raw_fallback, observed 2026-08-07T15:07:35.479946Z

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Observation f169f4f6-17a8-4839-a1ef-a8d4b4a6e27e · outbound

This paper cites Ekert, Carolina Moura Alves, Daniel K.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Ekert, Carolina Moura Alves, Daniel K

Reference 19

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Observation dd591e34-3d3e-4d57-a662-0cc3c77db059 · outbound

This paper cites Entanglement spectrum of topological insulators and superconductors.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Entanglement spectrum of topological insulators and superconductors

Reference 20

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Observation feb95271-3f61-453b-8326-e228ab62b6bc · outbound

This paper cites Flammia and Yi-Kai Liu.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Flammia and Yi-Kai Liu

Reference 21

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Observation c8b84b00-1996-43dc-b68b-98f5bd726b63 · outbound

This paper cites Quantum simulations with ultracold atoms in optical lattices.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Quantum simulations with ultracold atoms in optical lattices

Reference 22

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Observation 59d384eb-d89e-4d6a-ab42-4c4c221204a5 · outbound

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

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Sublinear quantum algorithms for estimating von Neumann entropy

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:27.470951Z

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Observation e46d063a-4f13-474e-aabe-2ad0bd9712c5 · outbound

This paper cites On the sample complexity of purity and inner product estimation.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State On the sample complexity of purity and inner product estimation

Reference 24

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Observation 744784bb-1233-478e-9ce9-d89d96df9c23 · outbound

This paper cites Distributional property testing in a quantum world.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Distributional property testing in a quantum world

Reference 25

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Observation 1c5c26f3-ed28-4fde-962b-091e892c7463 · outbound

This paper cites an unresolved cited work.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Unresolved cited work

Reference 26

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Observation 499d5769-2f5c-4c4b-bc35-c0e967438d9f · outbound

This paper cites Nonlinear transformation of complex amplitudes via quantum singular value transformation.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Nonlinear transformation of complex amplitudes via quantum singular value transformation

Reference 27

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Observation c36a4387-96a2-43c5-8cac-c55644ff975b · outbound

This paper cites Improved Quantum Algorithms for Fidelity Estimation.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Improved Quantum Algorithms for Fidelity Estimation

Reference 28

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Observation 49f199be-d59e-4d4e-adce-fab93ac8c959 · outbound

This paper cites Quantum Information Theory: Mathematical Foundation.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Quantum Information Theory: Mathematical Foundation

Reference 29

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Observation d488a601-2a9b-48bb-b829-8e2763f5de30 · outbound

This paper cites Measuring quantum relative entropy with finite-size effect.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Measuring quantum relative entropy with finite-size effect

Reference 30

Resolution: verified exact; doi, observed 2026-08-07T15:07:33.206717Z

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Observation 5d66a038-4f6a-4afe-bfae-97a81d690682 · outbound

This paper cites Method for direct detection of quantum entanglement.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Method for direct detection of quantum entanglement

Reference 31

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Observation 53fe361f-c121-4c6e-b37a-3c15072b38a3 · outbound

This paper cites Helstrom.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Helstrom

Reference 32

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Observation 1f75bf67-7192-44bf-8190-15866b9f27e5 · outbound

This paper cites Localized virtual purification.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Localized virtual purification

Reference 33

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Observation 5bf2a904-b22e-4c50-abc5-c9e1f5b32079 · outbound

This paper cites Harrow, Zhengfeng Ji, Xiaodi Wu, and Nengkun Yu.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Harrow, Zhengfeng Ji, Xiaodi Wu, and Nengkun Yu

Reference 34

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Observation 712bae2c-dde9-4ac3-9f8d-466b9f78f14b · outbound

This paper cites Predicting many properties of a quantum system from very few measurements.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Predicting many properties of a quantum system from very few measurements

Reference 35

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Observation 04e17511-fb72-4dab-b048-1b6c7a6ed8fd · outbound

This paper cites Information-theoretic bounds on quantum advantage in machine learning.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Information-theoretic bounds on quantum advantage in machine learning

Reference 36

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Observation 273c0051-54b6-4000-91a2-9b3dc2495b21 · outbound

This paper cites Huggins, Sam McArdle, Thomas E.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Huggins, Sam McArdle, Thomas E

Reference 37

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Observation 0c1a20e4-9d31-4321-8e36-5dca3c715d69 · outbound

This paper cites Probability inequalities for sums of bounded random variables.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Probability inequalities for sums of bounded random variables

Reference 38

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Observation 941f47b4-36c3-438f-9ad5-d20c1e02cbaa · outbound

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Simultaneous Estimation of Nonlinear Functionals of a Quantum State Unresolved cited work

Reference 39

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Observation a086e9dd-8a2c-4850-8fc4-acff785ac856 · outbound

This paper cites Steiger, and Matthias Troyer.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Steiger, and Matthias Troyer

Reference 40

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Observation 078a8fca-381c-4c54-ba2d-10eabfb44640 · outbound

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Simultaneous Estimation of Nonlinear Functionals of a Quantum State Unresolved cited work

Reference 41

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Observation e4b72c3c-b033-4b2c-91c8-1695f1d2b218 · outbound

This paper cites Knill and R.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Knill and R

Reference 42

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Observation 34f98c1a-b6f5-48fc-90fd-90b80b9187c7 · outbound

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Simultaneous Estimation of Nonlinear Functionals of a Quantum State Unresolved cited work

Reference 43

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Observation f779dbdb-8729-47ab-af8a-a020ac299cee · outbound

This paper cites Unified multivariate trace estimation and quantum error mitigation.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Unified multivariate trace estimation and quantum error mitigation

Reference 44

Resolution: verified exact; doi, observed 2026-08-07T15:07:32.887636Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 65786059-a936-4fbf-8b20-cc0f8871420f · outbound

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

Simultaneous Estimation of Nonlinear Functionals of a Quantum State On estimating the trace of quantum state powers

Reference 45

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Observation 2b4d9e3d-dc3d-4abe-9847-39a69b67a6b4 · outbound

This paper cites Mishra, Felix Leditzky, and Mark M.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Mishra, Felix Leditzky, and Mark M

Reference 46

Resolution: verified exact; doi, observed 2026-08-07T15:07:32.648127Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 58dbd08c-923c-4fbc-aae2-f8365df9d244 · outbound

This paper cites Efficient quantum tomography.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Efficient quantum tomography

Reference 47

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Observation 26c7fc7d-6930-4a4c-82a7-02a610285b6f · outbound

This paper cites Efficient quantum tomography II.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Efficient quantum tomography II

Reference 48

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Observation cb90efd8-e6c3-4db2-905c-1d060c60f757 · outbound

This paper cites Turner, Erez Berg, and Masaki Oshikawa.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Turner, Erez Berg, and Masaki Oshikawa

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:29.915957Z

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Observation 3c64cc48-7aae-49ad-af22-5c4a94c71e9e · outbound

This paper cites Beating full state tomography for unentangled spectrum estimation.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Beating full state tomography for unentangled spectrum estimation

Reference 50

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:07:34.890743Z

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Observation cab6dd62-6dac-4e66-8ca6-42d7e3b9aac6 · outbound

This paper cites an unresolved cited work.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Unresolved cited work

Reference 51

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Observation c8c80a4d-525a-4688-bc92-f25647297365 · outbound

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Simultaneous Estimation of Nonlinear Functionals of a Quantum State Unresolved cited work

Reference 52

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Observation b77c1b7b-211c-4396-80cf-758c50fe0a65 · outbound

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Simultaneous Estimation of Nonlinear Functionals of a Quantum State Unresolved cited work

Reference 53

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Observation 8872d5e5-d7d0-4655-9297-7b3b70358f00 · outbound

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

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Quantum algorithm for estimating -renyi entropies of quantum states

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:30.524993Z

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Observation cd33e792-9efc-4ed0-b2b0-e1653c5f965e · outbound

This paper cites Computation with Unitaries and One Pure Qubit.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Computation with Unitaries and One Pure Qubit

Reference 55

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:07:34.604833Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3bf948ab-8def-46d9-9f0a-076874793555 · outbound

This paper cites Shor and Stephen P.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Shor and Stephen P

Reference 56

Resolution: verified exact; doi, observed 2026-08-07T15:07:32.450903Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4b41c8d7-5a1b-4d5d-bff8-003980b38ddd · outbound

This paper cites Resource-efficient algorithm for estimating the trace of quantum state powers.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Resource-efficient algorithm for estimating the trace of quantum state powers

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:30.891602Z

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Observation cf033cc2-670b-42e0-a461-d2d9e145e3ad · outbound

This paper cites Michailidis, Dmitry A.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Michailidis, Dmitry A

Reference 58

Resolution: verified exact; doi, observed 2026-08-07T15:07:32.233558Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8a4236c7-c314-4277-9289-9aea0292ec21 · outbound

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

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Optimal trace distance and fidelity estimations for pure quantum states

Reference 59

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T15:07:34.338081Z

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Observation eea2962f-6f1e-4431-941f-4ea40add3885 · outbound

This paper cites New quantum algorithms for computing quantum entropies and distances.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State New quantum algorithms for computing quantum entropies and distances

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:31.055461Z

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Observation 1e90efee-190f-41b7-a540-a44c9a1bc1cc · outbound

This paper cites an unresolved cited work.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Unresolved cited work

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:31.098798Z

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Observation 60d97b0b-37c2-4d11-a125-5a50296a2953 · outbound

This paper cites Fast quantum algorithms for trace distance estimation.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Fast quantum algorithms for trace distance estimation

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:31.144385Z

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Observation 0c1c3f30-ecb4-4f2d-abd4-9d678016f992 · outbound

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

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Time-efficient quantum entropy estimator via samplizer

Reference 63

Resolution: verified exact; doi, observed 2026-08-07T15:07:32.036839Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7f573a5e-27e5-4ee1-bddd-5ea2412392d7 · outbound

This paper cites Quantum algorithm for fidelity estimation.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Quantum algorithm for fidelity estimation

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:31.265424Z

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Observation eb846fbf-cf63-4e52-9b4c-3c3e4cf2efca · outbound

This paper cites A quantum algorithm framework for discrete probability distributions with applications to R\' e nyi entropy estimation.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State A quantum algorithm framework for discrete probability distributions with applications to R\' e nyi entropy estimation

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:31.313044Z

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Observation 643cee44-bf62-485c-9a78-7b43895d6607 · outbound

This paper cites Quantum phase processing and its applications in estimating phase and entropies.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Quantum phase processing and its applications in estimating phase and entropies

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:31.346770Z

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Observation b4235145-e836-4870-a915-36b612fa7e2e · outbound

This paper cites Mucciolo.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Mucciolo

Reference 67

Resolution: verified exact; doi, observed 2026-08-07T15:07:31.895698Z

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Observation dfec8ad5-90e1-473e-9986-fdfac705ef10 · outbound

This paper cites Giampaolo, Eduardo R.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Giampaolo, Eduardo R

Reference 68

Resolution: verified exact; doi, observed 2026-08-07T15:07:31.713365Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 91f182e8-78e6-4c78-848a-a734484ab939 · outbound

This paper cites Sample-Efficient Estimation of Nonlinear Quantum State Functions.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Sample-Efficient Estimation of Nonlinear Quantum State Functions

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:31.447237Z

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Observation 03d40f8b-138f-45f6-95bc-2e8da7dbb590 · outbound

This paper cites Entanglement entropy and entanglement spectrum of the Kitaev model.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Entanglement entropy and entanglement spectrum of the Kitaev model

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:31.538009Z

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Observation f1bc5388-2dd4-4f7a-983e-e09c0c21276e · outbound

This paper cites Qubit-efficient entanglement spectroscopy using qubit resets.

Simultaneous Estimation of Nonlinear Functionals of a Quantum State Qubit-efficient entanglement spectroscopy using qubit resets

Reference 71

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Pith citing papers

Observation d3d8eac3-8ae4-4616-9906-e7f8d5e40fad · inbound

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation cites this paper.

Information-Theoretic Lower Bounds for Approximating Monomials via Optimal Quantum Tsallis Entropy Estimation Simultaneous Estimation of Nonlinear Functionals of a Quantum State

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-05T11:02:03.314274Z

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Observation a88de9b2-9343-46e5-91c7-20b5a822dd97 · inbound

Quantum Nonlinear Properties from a Single Measurement Setting cites this paper.

Quantum Nonlinear Properties from a Single Measurement Setting Simultaneous Estimation of Nonlinear Functionals of a Quantum State

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-05-12T06:31:27.582684Z

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Observation 569f672f-0d12-4e03-a114-c5f037b43f66 · inbound

Simultaneous Estimation of Partial-Transpose Moments with Active Memory Independent of the Moment Order cites this paper.

Simultaneous Estimation of Partial-Transpose Moments with Active Memory Independent of the Moment Order Simultaneous Estimation of Nonlinear Functionals of a Quantum State

Reference 41

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T19:03:52.146639Z

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