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Classical shadow tomography, harnessing randomized informationally complete (IC) measurements, provides an effective avenue for predicting many properties of unknown quantum states with sample-efficient precision.
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Julian Schwinger · 1960
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ID Ivonovic · 1981
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Hans Maassen and Jos BM Uffink · 1988
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Ulf Leonhardt · 1995
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A Robert Calderbank, Eric M Rains, Peter W Shor, and Neil JA Sloane · 1997
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Daniel Gottesman · 1997
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A Robert Calderbank, Eric M Rains, Peter M Shor, and Neil JA Sloane · 1998
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Daniel Gottesman · 1998
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Daniel FV James, Paul G Kwiat, William J Munro, and Andrew G White · 2001
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Nicolas J Cerf, Mohamed Bourennane, Anders Karlsson, and Nicolas Gisin · 2002
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Matteo Paris and Jaroslav Rehacek · 2004
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Improved simulation of stabilizer circuits
Scott Aaronson and Daniel Gottesman · 2004
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Entropic uncertainty relations and locking: Tight bounds for mutually unbiased bases
Manuel A Ballester and Stephanie Wehner · 2007
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Entanglement in many-body systems
Luigi Amico, Rosario Fazio, Andreas Osterloh, and Vlatko Vedral · 2008
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Uncertainty relation for the discrete fourier transform
Serge Massar and Philippe Spindel · 2008
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Improving quantum state estimation with mutually unbiased bases
RBA Adamson and Aephraim M Steinberg · 2010
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On mutually unbiased bases
Thomas Durt, Berthold-Georg Englert, Ingemar Bengtsson, and Karol Życzkowski · 2010
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Practical characterization of quantum devices without tomography
Marcus P da Silva, Olivier Landon-Cardinal, and David Poulin · 2011
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Direct fidelity estimation from few pauli measurements
Steven T Flammia and Yi-Kai Liu · 2011
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Experimental quantum tomography of photonic qudits via mutually unbiased basis
Gustavo Lima, Leonardo Neves, R Guzmán, Esteban S Gómez, WAT Nogueira, Aldo Delgado, A Vargas, and Carlos Saavedra · 2011
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Entanglement detection via mutually unbiased bases
Christoph Spengler, Marcus Huber, Stephen Brierley, Theodor Adaktylos, and Beatrix C Hiesmayr · 2012
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Higher-dimensional orbital-angular-momentum-based quantum key distribution with mutually unbiased bases
Mhlambululi Mafu, Angela Dudley, Sandeep Goyal, Daniel Giovannini, Melanie McLaren, Miles J Padgett, Thomas Konrad, Francesco Petruccione, Norbert Lütkenhaus, and Andrew Forbes · 2013
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Shadow tomography based on informationally complete positive operator-valued measure
Atithi Acharya, Siddhartha Saha, and Anirvan M Sengupta · 2021
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Adaptive pauli shadows for energy estimation
Charles Hadfield · 2021
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Symmetry-resolved entanglement detection using partial transpose moments
Antoine Neven, Jose Carrasco, Vittorio Vitale, Christian Kokail, Andreas Elben, Marcello Dalmonte, Pasquale Calabrese, Peter Zoller, Benoit Vermersch, Richard Kueng, et al · 2021
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Mutually unbiased bases and symmetric informationally complete measurements in bell experiments
Armin Tavakoli, Máté Farkas, Denis Rosset, Jean-Daniel Bancal, and Jedrzej Kaniewski · 2021
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A simple method for sampling random clifford operators
Ewout Van Den Berg · 2021
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Characterization of high-dimensional entangled systems via mutually unbiased measurements
D Giovannini, J Romero, Jonathan Leach, A Dudley, A Forbes, and Miles J Padgett · 2013
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How to efficiently select an arbitrary clifford group element
Robert Koenig and John A Smolin · 2014
Cited alongside, same era.
Complementarity and correlations
Lorenzo Maccone, Dagmar Bruß, and Chiara Macchiavello · 2015
Cited alongside, same era.
Quantifying high dimensional entanglement with two mutually unbiased bases
Paul Erker, Mario Krenn, and Marcus Huber · 2017
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Quantum computing in the nisq era and beyond
John Preskill · 2018
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Shadow tomography of quantum states
Scott Aaronson · 2018
Cited alongside, same era.
Shorter stabilizer circuits via bruhat decomposition and quantum circuit transformations
Dmitri Maslov and Martin Roetteler · 2018
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Hadamard-free circuits expose the structure of the clifford group
Sergey Bravyi and Dmitri Maslov · 2021
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Experimental estimation of quantum state properties from classical shadows
GI Struchalin, Ya A Zagorovskii, EV Kovlakov, SS Straupe, and SP Kulik · 2021
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Hamiltonian-driven shadow tomography of quantum states
Hong-Ye Hu and Yi-Zhuang You · 2022
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Classical shadows with pauli-invariant unitary ensembles
Kaifeng Bu, Dax Enshan Koh, Roy J Garcia, and Arthur Jaffe · 2022
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Optimizing shadow tomography with generalized measurements
H Chau Nguyen, Jan Lennart Bönsel, Jonathan Steinberg, and Otfried Gühne · 2022
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Probing many-body quantum chaos with quantum simulators
Lata Kh Joshi, Andreas Elben, Amit Vikram, Benoît Vermersch, Victor Galitski, and Peter Zoller · 2022
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Classical shadow tomography with locally scrambled quantum dynamics
Hong-Ye Hu, Soonwon Choi, and Yi-Zhuang You · 2023
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Scalable and flexible classical shadow tomography with tensor networks
Ahmed A Akhtar, Hong-Ye Hu, and Yi-Zhuang You · 2023
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Operator relaxation and the optimal depth of classical shadows
Matteo Ippoliti, Yaodong Li, Tibor Rakovszky, and Vedika Khemani · 2023
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Shadow estimation of gate-set properties from random sequences
J Helsen, Marios Ioannou, Jonas Kitzinger, Emilio Onorati, AH Werner, Jens Eisert, and I Roth · 2023
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Shadow distillation: Quantum error mitigation with classical shadows for near-term quantum processors
Alireza Seif, Ze-Pei Cian, Sisi Zhou, Senrui Chen, and Liang Jiang · 2023
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An efficient quantum circuit construction method for mutually unbiased bases in n n -qubit systems
Wang Yu and Wu Dongsheng · 2023
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