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Classical shadow tomography is a powerful randomized measurement protocol for predicting many properties of a quantum state with few measurements.
The heisenberg representation of quantum computers
Daniel Gottesman · 1998
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Measurement of qubits
Daniel F. V. James, Paul G. Kwiat, William J. Munro, and Andrew G. White · 2001
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Unknown quantum states: The quantum de Finetti representation
Carlton M. Caves, Christopher A. Fuchs, and Rüdiger Schack · 2002
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Improved simulation of stabilizer circuits
Scott Aaronson and Daniel Gottesman · 2004
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Optimal Data Processing for Quantum Measurements
G. M. D’Ariano and P. Perinotti · 2007
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The open science grid
Ruth Pordes, Don Petravick, Bill Kramer, Doug Olson, Miron Livny, Alain Roy, Paul Avery, Kent Blackburn, Torre Wenaus, Frank Würthwein, Ian Foster, Rob Gardner, Mike Wilde, Alan Blatecky, John McGee, and Rob Quick · 2007
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The pilot way to grid resources using glideinwms
Igor Sfiligoi, Daniel C Bradley, Burt Holzman, Parag Mhashilkar, Sanjay Padhi, and Frank Wurthwein · 2009
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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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Towards the fast scrambling conjecture
Nima Lashkari, Douglas Stanford, Matthew Hastings, Tobias Osborne, and Patrick Hayden · 2013
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Efficient and feasible state tomography of quantum many-body systems
M. Ohliger, V. Nesme, and J. Eisert · 2013
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A practical introduction to tensor networks: Matrix product states and projected entangled pair states
Román Orús · 2014
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Entanglement and the sign structure of quantum states
Tarun Grover and Matthew P. A. Fisher · 2015
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Sample-optimal tomography of quantum states
Jeongwan Haah, Aram W. Harrow, Zhengfeng Ji, Xiaodi Wu, and Nengkun Yu · 2015
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Ryan O’Donnell and John Wright · 2015
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Shadow Tomography of Quantum States
Scott Aaronson · 2017
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Quantum Entanglement Growth under Random Unitary Dynamics
Adam Nahum, Jonathan Ruhman, Sagar Vijay, and Jeongwan Haah · 2017
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Onset of random matrix behavior in scrambling systems
Hrant Gharibyan, Masanori Hanada, Stephen H. Shenker, and Masaki Tezuka · 2018
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Fast state tomography with optimal error bounds
Madalin Guta, Jonas Kahn, Richard Kueng, and Joel A. Tropp · 2018
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Operator Spreading in Random Unitary Circuits
Adam Nahum, Sagar Vijay, and Jeongwan Haah · 2018
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Entanglement features of random Hamiltonian dynamics
Yi-Zhuang You and Yingfei Gu · 2018
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Machine learning spatial geometry from entanglement features
Yi-Zhuang You, Zhao Yang, and Xiao-Liang Qi · 2018
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Gentle Measurement of Quantum States and Differential Privacy
Scott Aaronson and Guy N. Rothblum · 2019
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Quantum chaos dynamics in long-range power law interaction systems
Xiao Chen and Tianci Zhou · 2019
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An approximate description of quantum states
Marco Paini and Amir Kalev · 2019
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PyTorch: An Imperative Style, High-Performance Deep Learning Library
Riemannian optimization of isometric tensor networks
Markus Hauru, Maarten Van Damme, and Jutho Haegeman · 2021
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Classical Shadow Tomography with Locally Scrambled Quantum Dynamics
Hong-Ye Hu, Soonwon Choi, and Yi-Zhuang You · 2021
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Classical Shadows for Quantum Process Tomography on Near-term Quantum Computers
Ryan Levy, Di Luo, and Bryan K. Clark · 2021
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A randomized measurement toolbox for rydberg quantum technologies, 2021
Simone Notarnicola, Andreas Elben, Thierry Lahaye, Antoine Browaeys, Simone Montangero, and Benoit Vermersch · 2021
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Fermionic partial tomography via classical shadows
Andrew Zhao, Nicholas C. Rubin, and Akimasa Miyake · 2021
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Adam Paszke, Sam Gross, Francisco Massa, Adam Lerer, James Bradbury, Gregory Chanan, Trevor Killeen, Zeming Lin, Natalia Gimelshein, Luca Antiga, Alban Desmaison, Andreas Köpf, Edward Yang, Zach DeVito, Martin Raison, Alykhan Tejani, Sasank Chilamkurthy, Benoit Steiner, Lu Fang, Junjie Bai, and Soumith Chintala · 2019
Cited alongside, same era.
Locality, Quantum Fluctuations, and Scrambling
Shenglong Xu and Brian Swingle · 2019
Cited alongside, same era.
Operator dynamics in a Brownian quantum circuit
Tianci Zhou and Xiao Chen · 2019
Cited alongside, same era.
Emergent statistical mechanics of entanglement in random unitary circuits
Tianci Zhou and Adam Nahum · 2019
Cited alongside, same era.
Multiregion entanglement in locally scrambled quantum dynamics
A. A. Akhtar and Yi-Zhuang You · 2020
Cited alongside, same era.
Theory of the phase transition in random unitary circuits with measurements
Yimu Bao, Soonwon Choi, and Ehud Altman · 2020
Cited alongside, same era.
Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
Soonwon Choi, Yimu Bao, Xiao-Liang Qi, and Ehud Altman · 2020
Cited alongside, same era.
Closed-form analytic expressions for shadow estimation with brickwork circuits, 2022
Mirko Arienzo, Markus Heinrich, Ingo Roth, and Martin Kliesch · 2022
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Shallow shadows: Expectation estimation using low-depth random Clifford circuits
Christian Bertoni, Jonas Haferkamp, Marcel Hinsche, Marios Ioannou, Jens Eisert, and Hakop Pashayan · 2022
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Classical shadows with pauli-invariant unitary ensembles, 2022
Kaifeng Bu, Dax Enshan Koh, Roy J. Garcia, and Arthur Jaffe · 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 · 2022
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Differentiable programming of isometric tensor networks
Chenhua Geng, Hong-Ye Hu, and Yijian Zou · 2022
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Classical shadows of fermions with particle number symmetry
Guang Hao Low · 2022
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Hamiltonian-driven shadow tomography of quantum states
Hong-Ye Hu and Yi-Zhuang You · 2022
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Logical shadow tomography: Efficient estimation of error-mitigated observables
Hong-Ye Hu, Ryan LaRose, Yi-Zhuang You, Eleanor Rieffel, and Zhihui Wang · 2022
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Efficient representation and learning of quantum many-body states
Hongye Hu · 2022
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Classical Shadows With Noise
Dax Enshan Koh and Sabee Grewal · 2022
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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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Alireza Seif, Ze-Pei Cian, Sisi Zhou, Senrui Chen, and Liang Jiang · 2022
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Operator relaxation and the optimal depth of classical shadows, 2023
Matteo Ippoliti, Yaodong Li, Tibor Rakovszky, and Vedika Khemani · 2023
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