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Shadow estimation is an efficient method for predicting many observables of a quantum state with a statistical guarantee.
Integration with respect to the haar measure on unitary, orthogonal and symplectic group
Benoit Collins and Piotr Sniady · 2006
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Quantum tomography via compressed sensing: error bounds, sample complexity and efficient estimators
Steven T Flammia, David Gross, Yi-Kai Liu, and Jens Eisert · 2012
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Efficient and feasible state tomography of quantum many-body systems
Matthias Ohliger, Vincent Nesme, and Jens Eisert · 2013
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The clifford group fails gracefully to be a unitary 4-design
Huangjun Zhu, Richard Kueng, Markus Grassl, and David Gross · 2016
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Sample-optimal tomography of quantum states
Jeongwan Haah, Aram W Harrow, Zhengfeng Ji, Xiaodi Wu, and Nengkun Yu · 2017
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Chaos and complexity by design
Daniel A. Roberts and Beni Yoshida · 2017
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Recovering quantum gates from few average gate fidelities
I. Roth, R. Kueng, S. Kimmel, Y.-K. Liu, D. Gross, J. Eisert, and M. Kliesch · 2018
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Shadow tomography of quantum states
Scott Aaronson · 2019
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Characterizing multipartite entanglement with moments of random correlations
Andreas Ketterer, Nikolai Wyderka, and Otfried Gühne · 2019
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Predicting many properties of a quantum system from very few measurements
Hsin-Yuan Huang, Richard Kueng, and John Preskill · 2020
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Mixed-state entanglement from local randomized measurements
Andreas Elben, Richard Kueng, Hsin-Yuan Robert Huang, Rick van Bijnen, Christian Kokail, Marcello Dalmonte, Pasquale Calabrese, Barbara Kraus, John Preskill, Peter Zoller, et al · 2020
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Quantum computational chemistry
Sam McArdle, Suguru Endo, Alán Aspuru-Guzik, Simon C. Benjamin, and Xiao Yuan · 2020
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Single-copies estimation of entanglement negativity
You Zhou, Pei Zeng, and Zhenhuan Liu · 2020
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Theory of quantum system certification
Martin Kliesch and Ingo Roth · 2021
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Quantum simulators: Architectures and opportunities
Ehud Altman, Kenneth R Brown, Giuseppe Carleo, Lincoln D Carr, Eugene Demler, Cheng Chin, Brian DeMarco, Sophia E Economou, Mark A Eriksson, Kai-Mei C Fu, et al · 2021
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Quantum computer systems for scientific discovery
Yuri Alexeev, Dave Bacon, Kenneth R Brown, Robert Calderbank, Lincoln D Carr, Frederic T Chong, Brian DeMarco, Dirk Englund, Edward Farhi, Bill Fefferman, et al · 2021
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Quantum fisher information from randomized measurements
Aniket Rath, Cyril Branciard, Anna Minguzzi, and Benoît Vermersch · 2021
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Quantum scrambling with classical shadows
Roy J. Garcia, You Zhou, and Arthur Jaffe · 2021
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Efficient estimation of pauli observables by derandomization
Hsin-Yuan Huang, Richard Kueng, and John Preskill · 2021
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Robust shadow estimation
Senrui Chen, Wenjun Yu, Pei Zeng, and Steven T. Flammia · 2021
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Schur–weyl duality for the clifford group with applications: Property testing, a robust hudson theorem, and de finetti representations
David Gross, Sepehr Nezami, and Michael Walter · 2021
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Fermionic partial tomography via classical shadows
Andrew Zhao, Nicholas C. Rubin, and Akimasa Miyake · 2021
Closed-form analytic expressions for shadow estimation with brickwork circuits
Mirko Arienzo, Markus Heinrich, Ingo Roth, and Martin Kliesch · 2022
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Hamiltonian-driven shadow tomography of quantum states
Hong-Ye Hu and Yi-Zhuang You · 2022
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Shadow tomography from emergent state designs in analog quantum simulators
Max McGinley and Michele Fava · 2022
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Hardware-efficient learning of quantum many-body states
Katherine Van Kirk, Jordan Cotler, Hsin-Yuan Huang, and Mikhail D Lukin · 2022
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Classical shadows with noise
Dax Enshan Koh and Sabee Grewal · 2022
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Optimal entanglement certification from moments of the partial transpose
Xiao-Dong Yu, Satoya Imai, and Otfried Gühne · 2021
Cited alongside, same era.
Lorenzo Leone, Salvatore F. E. Oliviero, You Zhou, and Alioscia Hamma · 2021
Cited alongside, same era.
Quantifying information scrambling via classical shadow tomography on programmable quantum simulators
Max McGinley, Sebastian Leontica, Samuel J Garratt, Jovan Jovanovic, and Steven H Simon · 2022
Cited alongside, same era.
Logical shadow tomography: Efficient estimation of error-mitigated observables
Hong-Ye Hu, Ryan LaRose, Yi-Zhuang You, Eleanor Rieffel, and Zhihui Wang · 2022
Cited alongside, same era.
Avoiding barren plateaus using classical shadows
Stefan H. Sack, Raimel A. Medina, Alexios A. Michailidis, Richard Kueng, and Maksym Serbyn · 2022
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Measurements of quantum hamiltonians with locally-biased classical shadows
Charles Hadfield, Sergey Bravyi, Rudy Raymond, and Antonio Mezzacapo · 2022
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Srilekha Gandhari, Victor V Albert, Thomas Gerrits, Jacob M Taylor, and Michael J Gullans · 2022
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Classical shadow tomography for continuous variables quantum systems
Simon Becker, Nilanjana Datta, Ludovico Lami, and Cambyse Rouzé · 2022
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Efficient measurement schemes for bosonic systems
Tianren Gu, Xiao Yuan, and Bujiao Wu · 2022
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Classical shadows of fermions with particle number symmetry
Guang Hao Low · 2022
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Thrifty shadow estimation: re-using quantum circuits and bounding tails
Jonas Helsen and Michael Walter · 2022
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The randomized measurement toolbox
Andreas Elben, Steven T Flammia, Hsin-Yuan Huang, Richard Kueng, John Preskill, Benoît Vermersch, and Peter Zoller · 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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Overlapped grouping measurement: A unified framework for measuring quantum states
Bujiao Wu, Jinzhao Sun, Qi Huang, and Xiao Yuan · 2023
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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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Measuring arbitrary physical properties in analog quantum simulation
Minh C Tran, Daniel K Mark, Wen Wei Ho, and Soonwon Choi · 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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