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We study the power of quantum memory for learning properties of quantum systems and dynamics, which is of great importance in physics and chemistry.
The threefold way. algebraic structure of symmetry groups and ensembles in quantum mechanics
Freeman J Dyson · 1962
Earlier work this paper cites.
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Zdenek Hradil · 1997
Earlier work this paper cites.
Assouad, Fano, and Le Cam
Bin Yu · 1997
Earlier work this paper cites.
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Anthony Chefles · 2000
Earlier work this paper cites.
The nonstochastic multiarmed bandit problem
Peter Auer, Nicolo Cesa-Bianchi, Yoav Freund, and Robert E Schapire · 2002
Earlier work this paper cites.
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Artur K Ekert, Carolina Moura Alves, Daniel KL Oi, Michał Horodecki, Paweł Horodecki, and Leong Chuan Kwek · 2002
Earlier work this paper cites.
The structure of bipartite quantum states: insights from group theory and cryptography
Matthias Christandl · 2006
Earlier work this paper cites.
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Earlier work this paper cites.
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Masoud Mohseni, Ali T Rezakhani, and Daniel A Lidar · 2008
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Stephen M Barnett and Sarah Croke · 2009
Earlier work this paper cites.
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Robin Blume-Kohout · 2010
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David Gross, Yi-Kai Liu, Steven T Flammia, Stephen Becker, and Jens Eisert · 2010
Earlier work this paper cites.
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Yuri Ingster and Irina A Suslina · 2012
Earlier work this paper cites.
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Joseph M Landsberg · 2012
Earlier work this paper cites.
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Konrad Banaszek, Marcus Cramer, and David Gross · 2013
Earlier work this paper cites.
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Yinzheng Gu · 2013
Earlier work this paper cites.
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Aram W. Harrow · 2013
Earlier work this paper cites.
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Sho Matsumoto · 2013
Earlier work this paper cites.
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Ashley Montanaro and Ronald de Wolf · 2013
Earlier work this paper cites.
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Siu-On Chan, Ilias Diakonikolas, Paul Valiant, and Gregory Valiant · 2014
Earlier work this paper cites.
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Ilias Diakonikolas, Daniel M Kane, and Vladimir Nikishkin · 2014
Earlier work this paper cites.
Hamiltonian learning and certification using quantum resources
Nathan Wiebe, Christopher Granade, Christopher Ferrie, and David G Cory · 2014
Earlier work this paper cites.
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Ryan O’Donnell and John Wright · 2015
Earlier work this paper cites.
The theory of variational hybrid quantum-classical algorithms
Jarrod R McClean, Jonathan Romero, Ryan Babbush, and Alán Aspuru-Guzik · 2016
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Ryan O’Donnell and John Wright · 2016
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Jacob Steinhardt, Gregory Valiant, and Stefan Wager · 2016
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John Wright · 2016
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Hand-waving and interpretive dance: an introductory course on tensor networks
Jacob C Bridgeman and Christopher T Chubb · 2017
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Weingarten calculus via orthogonality relations: new applications
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Pranav Gokhale, Olivia Angiuli, Yongshan Ding, Kaiwen Gui, Teague Tomesh, Martin Suchara, Margaret Martonosi, and Frederic T Chong · 2019
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Efficient and noise resilient measurements for quantum chemistry on near-term quantum computers
William J Huggins, Jarrod McClean, Nicholas Rubin, Zhang Jiang, Nathan Wiebe, K Birgitta Whaley, and Ryan Babbush · 2019
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Tensor networks for complex quantum systems
Román Orús · 2019
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An approximate description of quantum states
Marco Paini and Amir Kalev · 2019
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Memory-sample tradeoffs for linear regression with small error
Vatsal Sharan, Aaron Sidford, and Gregory Valiant · 2019
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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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Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
Abhinav Kandala, Antonio Mezzacapo, Kristan Temme, Maika Takita, Markus Brink, Jerry M Chow, and Jay M Gambetta · 2017
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Time-space hardness of learning sparse parities
Gillat Kol, Ran Raz, and Avishay Tal · 2017
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Low rank matrix recovery from rank one measurements
Richard Kueng, Holger Rauhut, and Ulrich Terstiege · 2017
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Mixing implies lower bounds for space bounded learning
Dana Moshkovitz and Michal Moshkovitz · 2017
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Efficient quantum tomography ii
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Tzu-Ching Yen, Vladyslav Verteletsky, and Artur F Izmaylov · 2019
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Entanglement is necessary for optimal quantum property testing
Sebastien Bubeck, Sitan Chen, and Jerry Li · 2020
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Improved quantum data analysis
Costin Bădescu and Ryan O’Donnell · 2020
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Efficient quantum measurement of pauli operators in the presence of finite sampling error
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Quantum overlapping tomography
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Senrui Chen, Wenjun Yu, Pei Zeng, and Steven T Flammia · 2020
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Fast state tomography with optimal error bounds
M Guţă, Jonas Kahn, Richard Kueng, and Joel A Tropp · 2020
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Fast state tomography with optimal error bounds
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Efficient learning of quantum noise
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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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Information-theoretic bounds on quantum advantage in machine learning
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Provably efficient machine learning for quantum many-body problems
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Quantum advantage for noisy channel discrimination
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