On estimating operator norm distance, with optimal trace distance estimation when one state is pure | Paper Citation Record

Observation 914ae887-1e32-4b42-83e0-2731076314a4 · outbound

This paper cites Quantum tomography using state-preparation unitaries.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Quantum tomography using state-preparation unitaries

Reference 1

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This paper cites Quantum SDP-Solvers: Better upper and lower bounds.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Quantum SDP-Solvers: Better upper and lower bounds

Reference 2

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On estimating operator norm distance, with optimal trace distance estimation when one state is pure Unresolved cited work

Reference 3

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This paper cites Simulating Hamiltonian dynamics with a truncated Taylor series.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Simulating Hamiltonian dynamics with a truncated Taylor series

Reference 4

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This paper cites Hamiltonian simulation with nearly optimal dependence on all parameters.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Hamiltonian simulation with nearly optimal dependence on all parameters

Reference 5

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This paper cites Quantum fingerprinting.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Quantum fingerprinting

Reference 6

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This paper cites Quantum Amplitude Amplification and Estimation.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Quantum Amplitude Amplification and Estimation

Reference 7

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Observation 714b2075-3dfc-4443-8dae-6f531834b626 · outbound

This paper cites The Universal Composable Security of Quantum Key Distribution.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure The Universal Composable Security of Quantum Key Distribution

Reference 8

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Observation abbcfeb4-1c9b-49dd-a8b2-36ffe24223a2 · outbound

This paper cites Quantum state certification.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Quantum state certification

Reference 9

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On estimating operator norm distance, with optimal trace distance estimation when one state is pure Unresolved cited work

Reference 10

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Observation 2fc3dcff-aa7a-4747-935e-a06cfcbc7861 · outbound

This paper cites Strong bound between trace distance and Hilbert-Schmidt distance for low-rank states.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Strong bound between trace distance and Hilbert-Schmidt distance for low-rank states

Reference 11

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Observation 78920f25-4afe-4da9-85e8-f383c002b39f · outbound

This paper cites Optimal Algorithms for Testing Closeness of Discrete Distributions.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Optimal Algorithms for Testing Closeness of Discrete Distributions

Reference 12

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Observation a235b999-2010-43c3-a337-5e4b04278f20 · outbound

This paper cites When Does Adaptivity Help for Quantum State Learning?.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure When Does Adaptivity Help for Quantum State Learning?

Reference 13

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Observation 79d8fbfb-c351-4c24-836d-de2dfbb3e06f · outbound

This paper cites Optimal large-scale quantum state tomography with Pauli measurements.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Optimal large-scale quantum state tomography with Pauli measurements

Reference 14

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Observation d4c5548d-82da-4422-951e-9670a1a67b48 · outbound

This paper cites Hamiltonian Simulation Using Linear Combinations of Unitary Operations.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Hamiltonian Simulation Using Linear Combinations of Unitary Operations

Reference 15

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Observation 32d2ac02-17df-4d0a-b328-dd3bfa9be766 · outbound

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

On estimating operator norm distance, with optimal trace distance estimation when one state is pure A list of complexity bounds for property testing by quantum sample-to-query lifting, 2025

Reference 16

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This paper cites Direct estimations of linear and non-linear functionals of a quantum state.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Direct estimations of linear and non-linear functionals of a quantum state

Reference 17

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Observation 9723a393-9a57-435d-b3b8-0c2bdfe32245 · outbound

This paper cites Quantum certification and benchmarking.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Quantum certification and benchmarking

Reference 18

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Observation 0b44986f-592f-4c72-83bd-a68f8517265d · outbound

This paper cites Cryptographic Distinguishability Measures for Quantum Mechanical States.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Cryptographic Distinguishability Measures for Quantum Mechanical States

Reference 19

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

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

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

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Observation fa3564a2-4412-494d-bed4-bf9e00f0a605 · outbound

This paper cites Fast state tomography with optimal error bounds.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Fast state tomography with optimal error bounds

Reference 21

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Observation 9368de45-185a-48a5-9c2f-b22b1b28d2bc · outbound

This paper cites Distributional property testing in a quantum world.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Distributional property testing in a quantum world

Reference 22

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Observation 03cf3517-1f7e-4e91-ac57-2830405698da · outbound

This paper cites Distance measures to compare real and ideal quantum processes.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Distance measures to compare real and ideal quantum processes

Reference 23

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Observation be7d1aaf-fa46-45fd-b7dc-61c7422c260b · outbound

This paper cites Improved Quantum Algorithms for Fidelity Estimation.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Improved Quantum Algorithms for Fidelity Estimation

Reference 24

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This paper cites Recovering low-rank matrices from few coefficients in any basis.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Recovering low-rank matrices from few coefficients in any basis

Reference 25

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Observation bcf9c205-36b9-4b7d-beed-75a7f830a30b · outbound

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

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics

Reference 26

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This paper cites Helstrom.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Helstrom

Reference 27

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This paper cites Sample-optimal tomography of quantum states.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Sample-optimal tomography of quantum states

Reference 28

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This paper cites Quantum algorithm for simulating real time evolution of lattice Hamiltonians.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Quantum algorithm for simulating real time evolution of lattice Hamiltonians

Reference 29

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

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Query-optimal estimation of unitary channels in diamond distance

Reference 30

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On estimating operator norm distance, with optimal trace distance estimation when one state is pure Unresolved cited work

Reference 31

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This paper cites Minimax Estimation of the $L_1$ Distance.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Minimax Estimation of the $L_1$ Distance

Reference 32

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Observation 52d6e30a-f5a5-426c-871d-d374ecba74ce · outbound

This paper cites Quantum measurements and the Abelian Stabilizer Problem.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Quantum measurements and the Abelian Stabilizer Problem

Reference 33

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This paper cites Hamiltonian Simulation by Qubitization.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Hamiltonian Simulation by Qubitization

Reference 34

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This paper cites Universal low-rank matrix recovery from Pauli measurements.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Universal low-rank matrix recovery from Pauli measurements

Reference 35

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

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Space-bounded quantum state testing via space-efficient quantum singular value transformation

Reference 36

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

On estimating operator norm distance, with optimal trace distance estimation when one state is pure On estimating Schatten norm and power distances between quantum states

Reference 37

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

On estimating operator norm distance, with optimal trace distance estimation when one state is pure On estimating the trace of quantum state powers

Reference 38

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This paper cites A Survey of Quantum Property Testing.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure A Survey of Quantum Property Testing

Reference 39

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On estimating operator norm distance, with optimal trace distance estimation when one state is pure Tight Bounds for Quantum Phase Estimation and Related Problems

Reference 40

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This paper cites Nielsen and Isaac L.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Nielsen and Isaac L

Reference 41

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On estimating operator norm distance, with optimal trace distance estimation when one state is pure Efficient quantum tomography

Reference 42

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This paper cites Security in Quantum Cryptography.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Security in Quantum Cryptography

Reference 43

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This paper cites Mixed state tomography reduces to pure state tomography.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Mixed state tomography reduces to pure state tomography

Reference 44

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This paper cites The debiased Keyl's algorithm: A new unbiased estimator for full state tomography.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure The debiased Keyl's algorithm: A new unbiased estimator for full state tomography

Reference 45

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Observation 5d34b47a-f477-4428-8c31-4d532df6e191 · outbound

This paper cites Estimating distinguishability measures on quantum computers.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Estimating distinguishability measures on quantum computers

Reference 46

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This paper cites Universally composable privacy amplification against quantum adversaries.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Universally composable privacy amplification against quantum adversaries

Reference 47

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This paper cites Optimal lower bounds for quantum state tomography.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Optimal lower bounds for quantum state tomography

Reference 48

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This paper cites A complete problem for statistical zero knowledge.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure A complete problem for statistical zero knowledge

Reference 49

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Observation 66e74a4f-543c-478e-905f-a9971676f8d7 · outbound

This paper cites Conjugate queries can help.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Conjugate queries can help

Reference 50

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Observation 75676618-389b-46c0-a143-b44f0e08b4b4 · outbound

This paper cites Estimating the unseen: Improved estimators for entropy and other properties.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Estimating the unseen: Improved estimators for entropy and other properties

Reference 51

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This paper cites $\ell_p$ Testing and Learning of Discrete Distributions.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure $\ell_p$ Testing and Learning of Discrete Distributions

Reference 52

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Observation a553359a-66fb-46c4-bf8d-29fcfd05041b · outbound

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

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Optimal Trace Distance and Fidelity Estimations for Pure Quantum States

Reference 53

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Observation 2d04150c-5aee-4cd4-aee6-fed92d55a4c4 · outbound

This paper cites Quantum statistical zero-knowledge.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Quantum statistical zero-knowledge

Reference 54

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This paper cites Zero-knowledge against quantum attacks.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Zero-knowledge against quantum attacks

Reference 55

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Observation 97887e11-1d12-4c77-a80e-ef7668f39b08 · outbound

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

On estimating operator norm distance, with optimal trace distance estimation when one state is pure New Quantum Algorithms for Computing Quantum Entropies and Distances

Reference 56

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This paper cites Fast Quantum Algorithms for Trace Distance Estimation.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Fast Quantum Algorithms for Trace Distance Estimation

Reference 57

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Observation d990cb79-ff32-4089-9575-623a01e59997 · outbound

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

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Quantum lower bounds by sample-to-query lifting

Reference 58

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Observation c4edce29-0ea2-429a-9277-51aa8eeb10d1 · outbound

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

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Time-efficient quantum entropy estimator via samplizer

Reference 59

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Observation 889bac48-088c-4c0c-8300-85f0a74cedee · outbound

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

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Sample-Optimal Quantum Estimators for Pure-State Trace Distance and Fidelity via Samplizer

Reference 60

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Observation 1eeb00eb-35cf-4bb0-8cee-663bcd5b2c11 · outbound

This paper cites Quantum Algorithm for Fidelity Estimation.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Quantum Algorithm for Fidelity Estimation

Reference 61

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This paper cites Estimation of low rank density matrices: bounds in Schatten norms and other distances.

On estimating operator norm distance, with optimal trace distance estimation when one state is pure Estimation of low rank density matrices: bounds in Schatten norms and other distances

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