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While quantum state tomography is notoriously hard, most states hold little interest to practically-minded tomographers.
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Neural network learning: Theoretical foundations
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GM D’Ariano and P Lo Presti · 2001
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Quantum fingerprinting
Harry Buhrman, Richard Cleve, John Watrous, and Ronald De Wolf · 2001
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Quantum process tomography of a controlled-not gate
Jeremy L O’Brien, Geoff J Pryde, Alexei Gilchrist, Daniel FV James, Nathan K Langford, Timothy C Ralph, and Andrew G White · 2004
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Improved simulation of stabilizer circuits
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Efficient decomposition of quantum gates
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Sequential generation of entangled multiqubit states
Christian Schön, Enrique Solano, Frank Verstraete, J Ignacio Cirac, and Michael M Wolf · 2005
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Synthesis of quantum logic circuits
Vivek V Shende, Stephen S Bullock, and Igor L Markov · 2005
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Quantum metrology
Vittorio Giovannetti, Seth Lloyd, and Lorenzo Maccone · 2006
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Negative weights make adversaries stronger
Peter Hoyer, Troy Lee, and Robert Spalek · 2007
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The learnability of quantum states
Scott Aaronson · 2007
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Quantum-process tomography: Resource analysis of different strategies
Masoud Mohseni, Ali T Rezakhani, and Daniel A Lidar · 2008
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Optimizing quantum process tomography with unitary 2-designs
Andrew James Scott · 2008
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Quantum random access memory
Vittorio Giovannetti, Seth Lloyd, and Lorenzo Maccone · 2008
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On lattices, learning with errors, random linear codes, and cryptography
Oded Regev · 2009
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Efficient discrete-time simulations of continuous-time quantum query algorithms
Richard Cleve, Daniel Gottesman, Michele Mosca, Rolando D Somma, and David Yonge-Mallo · 2009
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Learning and testing algorithms for the clifford group
Richard A Low · 2009
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Quantum algorithms to solve the hidden shift problem for quadratics and for functions of large gowers norm
Martin Rötteler · 2009
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Optimal, reliable estimation of quantum states
Robin Blume-Kohout · 2010
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Quantum state tomography via compressed sensing
David Gross, Yi-Kai Liu, Steven T Flammia, Stephen Becker, and Jens Eisert · 2010
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On ideal lattices and learning with errors over rings
Vadim Lyubashevsky, Chris Peikert, and Oded Regev · 2010
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Efficient quantum state tomography
Marcus Cramer, Martin B Plenio, Steven T Flammia, Rolando Somma, David Gross, Stephen D Bartlett, Olivier Landon-Cardinal, David Poulin, and Yi-Kai Liu · 2010
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Efficient direct tomography for matrix product states
Olivier Landon-Cardinal, Yi-Kai Liu, and David Poulin · 2010
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Permutationally invariant quantum tomography
Géza Tóth, Witlef Wieczorek, David Gross, Roland Krischek, Christian Schwemmer, and Harald Weinfurter · 2010
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Quantum addition circuits and unbounded fan-out
Yasuhiro Takahashi, Seiichiro Tani, and Noboru Kunihiro · 2010
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Advances in quantum metrology
Vittorio Giovannetti, Seth Lloyd, and Lorenzo Maccone · 2011
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Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space
David Poulin, Angie Qarry, Rolando Somma, and Frank Verstraete · 2011
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Permutationally invariant state reconstruction
Tobias Moroder, Philipp Hyllus, Géza Tóth, Christian Schwemmer, Alexander Niggebaum, Stefanie Gaile, Otfried Gühne, and Harald Weinfurter · 2012
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Pseudorandom functions and lattices
Abhishek Banerjee, Chris Peikert, and Alon Rosen · 2012
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Quantum channels and operations - guided tour, 7 2012
Michael M. Wolf · 2012
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Focus on quantum tomography
Konrad Banaszek, Marcus Cramer, and David Gross · 2013
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Self-consistent quantum process tomography
Seth T Merkel, Jay M Gambetta, John A Smolin, Stefano Poletto, Antonio D Córcoles, Blake R Johnson, Colm A Ryan, and Matthias Steffen · 2013
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Channel-state duality
Min Jiang, Shunlong Luo, and Shuangshuang Fu · 2013
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Quantum Information Theory
Mark M. Wilde · 2013
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Five two-qubit gates are necessary for implementing the toffoli gate
Nengkun Yu, Runyao Duan, and Mingsheng Ying · 2013
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Quantum information theory
Mark M Wilde · 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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Quantum simulation
Iulia M Georgescu, Sahel Ashhab, and Franco Nori · 2014
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Experimental comparison of efficient tomography schemes for a six-qubit state
Christian Schwemmer, Géza Tóth, Alexander Niggebaum, Tobias Moroder, David Gross, Otfried Gühne, and Harald Weinfurter · 2014
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Complexity and shock wave geometries
Douglas Stanford and Leonard Susskind · 2014
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Quantum circuit complexity of one-dimensional topological phases
Yichen Huang, Xie Chen, et al · 2015
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Variations on quantum adversary
Aleksandrs Belovs · 2015
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Hamiltonian simulation with nearly optimal dependence on all parameters
Dominic W Berry, Andrew M Childs, and Robin Kothari · 2015
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Efficient quantum tomography
Ryan O’Donnell and John Wright · 2016
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Local random quantum circuits are approximate polynomial-designs
Fernando GSL Brandao, Aram W Harrow, and Michał Horodecki · 2016
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Short proofs of linear growth of quantum circuit complexity
Zhi Li · 2022
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Saturation and recurrence of quantum complexity in random quantum circuits
Michał Oszmaniec, Michał Horodecki, and Nicholas Hunter-Jones · 2022
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Generalization in quantum machine learning from few training data
Matthias C Caro, Hsin-Yuan Huang, Marco Cerezo, Kunal Sharma, Andrew Sornborger, Lukasz Cincio, and Patrick J Coles · 2022
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Cryptography from pseudorandom quantum states
Prabhanjan Ananth, Luowen Qian, and Henry Yuen · 2022
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Quantum commitments and signatures without one-way functions
Tomoyuki Morimae and Takashi Yamakawa · 2022
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Computational complexity and black hole horizons
Leonard Susskind · 2016
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Complexity, action, and black holes
Adam R Brown, Daniel A Roberts, Leonard Susskind, Brian Swingle, and Ying Zhao · 2016
Cited alongside, same era.
Sample-optimal tomography of quantum states
Jeongwan Haah, Aram W Harrow, Zhengfeng Ji, Xiaodi Wu, and Nengkun Yu · 2016
Cited alongside, same era.
How to learn a quantum state
John Wright · 2016
Cited alongside, same era.
Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography
Robin Blume-Kohout, John King Gamble, Erik Nielsen, Kenneth Rudinger, Jonathan Mizrahi, Kevin Fortier, and Peter Maunz · 2017
Cited alongside, same era.
Sample-optimal tomography of quantum states
Jeongwan Haah, Aram W Harrow, Zhengfeng Ji, Xiaodi Wu, and Nengkun Yu · 2017
Cited alongside, same era.
Alexandros Eskenazis, Paata Ivanisvili, and Lauritz Streck · 2022
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