Paper Citation Record · LEDGER

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group

As of 9 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2509.05710.

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

pith.paper-citation-record.v1
2509.05710 v2

Coverage vector

measured 46 of 46 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-05T05:22:18.006587Z

measured 46 of 46 standing notices

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

46 of 46 outbound references displayed

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External citation measurements

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Outbound references

Observation 7aa00c4d-a00a-49eb-85b8-b4e5d5b3ee76 · outbound

This paper cites Ac\' n, E.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Ac\' n, E

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:21.309773Z

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Observation b5d67bf9-8507-4a04-9af5-9ce9c86505de · outbound

This paper cites Agerskov and K.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Agerskov and K

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:21.262782Z

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Observation 12462f2f-f45d-4ad5-8a97-db0f755ddf07 · outbound

This paper cites Quantum lower bounds by polynomials.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Quantum lower bounds by polynomials

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:21.170745Z

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Observation eefc3ab1-07db-4350-ac36-232af7b1d564 · outbound

This paper cites Quantum complexity of the kronecker coefficients.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Quantum complexity of the kronecker coefficients

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:21.074742Z

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Observation 8d143bba-36c7-43a9-a040-4113d363e4ef · outbound

This paper cites Tensor product representations of general linear groups and their connections with brauer algebras.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Tensor product representations of general linear groups and their connections with brauer algebras

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:20.963000Z

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Observation b9570cd9-78bb-4fbe-b115-1c288ce4e12f · outbound

This paper cites Classical and quantum algorithms for characters of the symmetric group.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Classical and quantum algorithms for characters of the symmetric group

Reference 6

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9b60191-3574-4c8f-9331-f1c87c7bdfd9 · outbound

This paper cites Quantum amplitude amplification and estimation.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Quantum amplitude amplification and estimation

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:20.892802Z

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Observation fb0261ea-47ca-419e-952c-71135b3e6fa4 · outbound

This paper cites A general quantum duality for representations of groups with applications to quantum money, lightning, and fire.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group A general quantum duality for representations of groups with applications to quantum money, lightning, and fire

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:20.769399Z

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Observation d51f8080-ccae-46dc-88dc-72e49d8e04dc · outbound

This paper cites Representations of compact Lie groups , volume 98.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Representations of compact Lie groups , volume 98

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:20.704814Z

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Observation ca0cbd9d-8adb-4782-af2b-e134e79ddd8d · outbound

This paper cites Quantum Phase Estimation without Controlled Unitaries.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Quantum Phase Estimation without Controlled Unitaries

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T05:22:17.707220Z

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Observation b647ffce-4e73-4d2b-8618-a6bf7a44dbec · outbound

This paper cites Chiribella, G.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Chiribella, G

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:20.599800Z

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Observation 77217a18-3ea9-43f1-b116-918e180f9d1c · outbound

This paper cites Chiribella, G.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Chiribella, G

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:20.540041Z

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Observation cfd169da-6b71-44b0-ad55-d4f7847bb16a · outbound

This paper cites Lecture notes on quantum algorithms.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Lecture notes on quantum algorithms

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:20.438689Z

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Observation bc2a2a76-69d0-4612-a545-5f1e0b94fa8c · outbound

This paper cites A Fourier analysis framework for approximate classical simulations of quantum circuits.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group A Fourier analysis framework for approximate classical simulations of quantum circuits

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T05:22:17.733536Z

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Observation 6db1f6e7-4631-49c9-9ed8-9552b7a19cf5 · outbound

This paper cites o ran Johansson, Vitaly Shumeiko, and G \.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group o ran Johansson, Vitaly Shumeiko, and G \

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:20.394741Z

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Observation 6ee24f1a-6c18-41d8-88eb-d5a908202830 · outbound

This paper cites Introduction to representation theory , volume 59.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Introduction to representation theory , volume 59

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:20.289953Z

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Observation 482ca914-3f0a-44fa-9aa5-0922c3f305b8 · outbound

This paper cites In the shadow of the hadamard test: Using the garbage state for good and further modifications.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group In the shadow of the hadamard test: Using the garbage state for good and further modifications

Reference 17

Resolution: verified exact; raw_fallback, observed 2026-08-05T05:22:18.593297Z

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Observation 907a61f0-6f3a-4ed0-904a-2befcd915301 · outbound

This paper cites Representation theory: a first course , volume 129.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Representation theory: a first course , volume 129

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-05T05:22:17.752899Z

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Unavailable: canonical work link unavailable.

Observation e054dd96-949f-41a6-99a0-000b0668d209 · outbound

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Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:22:20.157521Z

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Observation bf9ba430-ffa9-44cf-9bd9-dea92a3fbbfe · outbound

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

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:20.126785Z

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Observation 730ab8ca-6c35-4088-9cd4-6f7294d47c41 · outbound

This paper cites Topological obstructions to quantum computation with unitary oracles.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Topological obstructions to quantum computation with unitary oracles

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:20.052792Z

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Observation 1c85b682-0ca9-45a0-9027-cd735e7bde65 · outbound

This paper cites Parallel treatment of estimation of su (2) and phase estimation.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Parallel treatment of estimation of su (2) and phase estimation

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.976406Z

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Observation f9622fa1-f8f1-40df-b7e1-ec22e9fef347 · outbound

This paper cites Quantum information theory.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Quantum information theory

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.941320Z

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Observation 37205068-4ab1-4004-b2d7-1864a16c87b7 · outbound

This paper cites Quantum detection and estimation theory.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Quantum detection and estimation theory

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.928897Z

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Observation f1c9c37b-cb76-47d6-acb0-6f33f011dca0 · outbound

This paper cites Query-optimal estimation of unitary channels in diamond distance.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Query-optimal estimation of unitary channels in diamond distance

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.843612Z

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Observation 2e1e2015-6725-49bb-9dbc-e4dd2be123e0 · outbound

This paper cites an unresolved cited work.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:22:19.833130Z

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Observation 066a0c9a-237f-4150-ae62-fb8321b7ec77 · outbound

This paper cites Quantum measurements and the Abelian Stabilizer Problem.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Quantum measurements and the Abelian Stabilizer Problem

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-05T05:22:17.801029Z

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Observation 3e52f97f-2b8f-4ebf-ada9-564fbe4de2ef · outbound

This paper cites Robust calibration of a universal single-qubit gate set via robust phase estimation.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Robust calibration of a universal single-qubit gate set via robust phase estimation

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.822473Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 36904728-ed35-4775-ba6e-263355f24830 · outbound

This paper cites Theory of point estimation.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Theory of point estimation

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.810731Z

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Observation 56e3c904-c932-4b40-bd54-60558efa0de9 · outbound

This paper cites Quantum algorithms for representation-theoretic multiplicities.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Quantum algorithms for representation-theoretic multiplicities

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.800930Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 54dd00ce-4dee-47bd-aad1-71903fd98c04 · outbound

This paper cites Direct estimation of minimum gate fidelity.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Direct estimation of minimum gate fidelity

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.788128Z

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Observation c18492b5-4a7d-4f16-9684-35962fa1e413 · outbound

This paper cites Mande and Ronald de Wolf.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Mande and Ronald de Wolf

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.751361Z

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Observation 87687829-6799-4c89-8b88-3bacc4c3e0f9 · outbound

This paper cites The random matrix theory of the classical compact groups , volume 218.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group The random matrix theory of the classical compact groups , volume 218

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.721629Z

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Observation 5d95b0e7-9d5f-43f3-bb27-f3552156ca10 · outbound

This paper cites A generalization of schur--weyl duality with applications in quantum estimation.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group A generalization of schur--weyl duality with applications in quantum estimation

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.644800Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 601ea568-db59-4174-bdc4-654b0d6cc2db · outbound

This paper cites Nielsen and Isaac L.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Nielsen and Isaac L

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.514582Z

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Observation b58c4717-8a70-46b3-be7b-7c821a8b6cdb · outbound

This paper cites The mixed Schur transform: efficient quantum circuit and applications.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group The mixed Schur transform: efficient quantum circuit and applications

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-05T05:22:17.872232Z

Source-reported events for the cited work

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Observation bb234221-d086-4429-b006-79527c7e1dc7 · outbound

This paper cites Polynomial time classical versus quantum algorithms for representation theoretic multiplicities.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Polynomial time classical versus quantum algorithms for representation theoretic multiplicities

Reference 37

Resolution: verified exact; raw_fallback, observed 2026-08-05T05:22:18.236339Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ed6142ff-8f55-41b8-85fd-a27a02632f8c · outbound

This paper cites Peter and H.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Peter and H

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.494058Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0b76637c-6543-4bde-9bda-9a7c8146f9db · outbound

This paper cites Faster phase estimation.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Faster phase estimation

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.463160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 36195d14-0212-47bf-bbbb-1ed5f193f01a · outbound

This paper cites Unitary property testing lower bounds by polynomials.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Unitary property testing lower bounds by polynomials

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.323808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cc86857a-5b80-42a2-864c-f5dfecb36f2a · outbound

This paper cites Are controlled unitaries helpful?.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Are controlled unitaries helpful?

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-05T05:22:17.933907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc06d386-3650-40fa-b75c-1a58a01fd2ec · outbound

This paper cites Quantum tomography using state-preparation unitaries.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Quantum tomography using state-preparation unitaries

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.204748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 065bae61-da9e-42df-af1b-e7894b6d9084 · outbound

This paper cites Elevating Variational Quantum Semidefinite Programs for Polynomial Objectives.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Elevating Variational Quantum Semidefinite Programs for Polynomial Objectives

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-05T05:22:17.993818Z

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Unavailable: canonical work link unavailable.

Observation 7fb09e50-cdc4-4792-8d57-745d1ff92169 · outbound

This paper cites Quantum-classical algorithms for skewed linear systems with an optimized hadamard test.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Quantum-classical algorithms for skewed linear systems with an optimized hadamard test

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.123481Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 708b3f7c-5262-4183-968d-087f83bfcf57 · outbound

This paper cites Optimal universal programming of unitary gates.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Optimal universal programming of unitary gates

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:19.036668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 785ab212-3327-4db9-a132-c37cce511e03 · outbound

This paper cites Zenchuk, Georgii A.

Another generalization of Hadamard test: Optimal sample complexities for learning functions on the unitary group Zenchuk, Georgii A

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T05:22:18.954850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

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