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The Clifford group plays a central role in quantum randomized benchmarking, quantum tomography, and error correction protocols.
Non-null ranking models. i
Colin L. Mallows · 1957
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Efficient generation of random nonsingular matrices
Dana Randall · 1993
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Mixed-state entanglement and quantum error correction
Charles H. Bennett, David P. DiVincenzo, John A. Smolin, and William K. Wootters · 1996
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Quantum data hiding
David P. DiVincenzo, Debbie W. Leung, and Barbara M. Terhal · 2002
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Improved simulation of stabilizer circuits
Scott Aaronson and Daniel Gottesman · 2004
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Universal quantum computation with ideal Clifford gates and noisy ancillas
Sergey Bravyi and Alexei Kitaev · 2005
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Scalable noise estimation with random unitary operators
Joseph Emerson, Robert Alicki, and Karol Życzkowski · 2005
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Randomized benchmarking of quantum gates
Emanuel Knill, Dietrich Leibfried, Rolf Reichle, Joe Britton, R. Brad Blakestad, John D. Jost, Chris Langer, Roee Ozeri, Signe Seidelin, and David J. Wineland · 2008
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Entanglement renormalization and topological order
Miguel Aguado and Guifre Vidal · 2008
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Optimal synthesis of linear reversible circuits
Ketan N. Patel, Igor L. Markov, and John P. Hayes · 2008
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Quantum Computation and Quantum Information
Michael A. Nielsen and Isaac L. Chuang · 2010
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Scalable and robust randomized benchmarking of quantum processes
Easwar Magesan, Jay M. Gambetta, and Joseph Emerson · 2011
Cited alongside, same era.
Learning Mallows models with pairwise preferences
Tyler Lu and Craig Boutilier · 2011
Cited alongside, same era.
Multiplying matrices faster than Coppersmith-Winograd
Virginia Vassilevska Williams · 2012
Cited alongside, same era.
How to efficiently select an arbitrary Clifford group element
Robert Koenig and John A. Smolin · 2014
Cited alongside, same era.
Multiqubit Clifford groups are unitary 3-designs
Huangjun Zhu · 2017
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Shadow tomography of quantum states
Scott Aaronson · 2018
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A compressed classical description of quantum states
David Gosset and John Smolin · 2018
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Shorter stabilizer circuits via Bruhat decomposition and quantum circuit transformations
Dmitri Maslov and Martin Roetteler · 2018
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Qiskit: An Open-source Framework for Quantum Computing, 2019
Héctor Abraham, et al · 2019
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Predicting many properties of a quantum system from very few measurements
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Bifurcation in entanglement renormalization group flow of a gapped spin model
Jeongwan Haah · 2014
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Optimal and asymptotically optimal NCT reversible circuits by the gate types
Dmitri Maslov · 2016
Cited alongside, same era.
The Clifford group forms a unitary 3-design
Zak Webb · 2016
Cited alongside, same era.
Hsin-Yuan Huang, Richard Kueng, and John Preskill · 2020
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Graph-theoretic simplification of quantum circuits with the ZX-calculus
Ross Duncan, Aleks Kissinger, Simon Pedrix, and John van de Wetering · 2020
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https://en.wikipedia.org/wiki/Gaussian_binomial_coefficient , last accessed 3/18/2020
Wikipedia · 2020
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