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We propose several algorithms for learning unitary operators from quantum statistical queries with respect to their Choi-Jamiolkowski state.
Lorenzo Campos Venuti and Lawrence Liu · 1904
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Linear transformations which preserve trace and positive semidefiniteness of operators
Andrzej Jamiołkowski · 1972
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Completely positive linear maps on complex matrices
Man-Duen Choi · 1975
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Computing a nearest symmetric positive semidefinite matrix
Nicholas J Higham · 1988
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A hard-core predicate for all one-way functions
Oded Goldreich and Leonid A Levin · 1989
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On the degree of boolean functions as real polynomials
Noam Nisan and Mario Szegedy · 1994
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Learning dnf over the uniform distribution using a quantum example oracle
Nader H Bshouty and Jeffrey C Jackson · 1995
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Prescription for experimental determination of the dynamics of a quantum black box
Isaac L Chuang and Michael A Nielsen · 1997
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Dynamics of the spin-heisenberg chain at intermediate temperatures
OA Starykh, AW Sandvik, and RRP Singh · 1997
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Efficient noise-tolerant learning from statistical queries
Michael Kearns · 1998
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Power of one bit of quantum information
Emanuel Knill and Raymond Laflamme · 1998
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Cryptographic distinguishability measures for quantum-mechanical states
Christopher A Fuchs and Jeroen Van De Graaf · 1999
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Quantum statistical query learning
Srinivasan Arunachalam, Alex B Grilo, and Henry Yuen · 2002
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Real-time dynamics at finite temperature by the density-matrix renormalization group: A path-integral approach
Jesko Sirker and Andreas Klümper · 2005
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Quantum algorithms for learning and testing juntas
Alp Atıcı and Rocco A Servedio · 2007
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Learning and testing algorithms for the clifford group
Richard A Low · 2009
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Density dynamics in translationally invariant spin-1 2 chains at high temperatures: A current-autocorrelation approach to finite time and length scales
Robin Steinigeweg and Jochen Gemmer · 2009
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Optimal quantum learning of a unitary transformation
Alessandro Bisio, Giulio Chiribella, Giacomo Mauro D’Ariano, Stefano Facchini, and Paolo Perinotti · 2010
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Quantum boolean functions
Ashley Montanaro and Tobias J Osborne · 2010
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Property testing of unitary operators
Guoming Wang · 2011
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Direct fidelity estimation from few pauli measurements
Steven T Flammia and Yi-Kai Liu · 2011
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Process tomography for unitary quantum channels
Gus Gutoski and Nathaniel Johnston · 2014
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Estimating the coherence of noise
Joel Wallman, Chris Granade, Robin Harper, and Steven T Flammia · 2015
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A survey of quantum property testing
Ashley Montanaro and Ronald de Wolf · 2016
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Anomalous thermalization in ergodic systems
David J Luitz and Yevgeny Bar Lev · 2016
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Quantum computing in the NISQ era and beyond
John Preskill · 2018
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Learning dnfs under product distributions via μ \mu -biased quantum fourier sampling
V Kanade, A Rocchetto, and S Severini · 2019
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Strong bound between trace distance and hilbert-schmidt distance for low-rank states
Patrick J. Coles, M. Cerezo, and Lukasz Cincio · 2019
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Bounding the average gate fidelity of composite channels using the unitarity
Arnaud Carignan-Dugas, Joel J Wallman, and Joseph Emerson · 2019
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Quantum machine learning in feature hilbert spaces
Maria Schuld and Nathan Killoran · 2019
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Quantum learning boolean linear functions w.r.t. product distributions
Matthias C. Caro · 2020
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Unifying (quantum) statistical and parametrized (quantum) algorithms
Alexander Nietner · 2023
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One t gate makes distribution learning hard
Marcel Hinsche, Marios Ioannou, Alexander Nietner, Jonas Haferkamp, Yihui Quek, Dominik Hangleiter, J-P Seifert, Jens Eisert, and Ryan Sweke · 2023
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On the average-case complexity of learning output distributions of quantum circuits
Alexander Nietner, Marios Ioannou, Ryan Sweke, Richard Kueng, Jens Eisert, Marcel Hinsche, and Jonas Haferkamp · 2023
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Nengkun Yu and Tzu-Chieh Wei · 2023
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Optimal algorithms for learning quantum phase states
Srinivasan Arunachalam, Sergey Bravyi, Arkopal Dutt, and Theodore J Yoder · 2023
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Characterization of quantum chaos by two-point correlation functions
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Time evolution of correlation functions in quantum many-body systems
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Cross-platform verification of intermediate scale quantum devices
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Barren plateaus preclude learning scramblers
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