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Random unitaries are useful in quantum information and related fields, but hard to generate with limited resources.
“Unitary designs from statistical mechanics in random quantum circuits”
Nicholas Hunter-Jones · 1905
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“On Rings of Operators. Reduction Theory”
John Neumann · 1949
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“On rings of operators. Reduction theory”
John Von · 1949
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Mihai Pimsner and Sorin Popa · 1986
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“Topics in Matrix Analysis”
Roger. Horn and Charles. Johnson · 1991
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“Bernoulli’s Inequality”
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Frank Deutsch · 2001
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John Watrous · 2005
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“The structure of bipartite quantum states-insights from group theory and cryptography”, 2006
Matthias Christandl · 2006
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Patrick Hayden, Michał Horodecki, Andreas Winter and Jon Yard · 2008
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Aram. Harrow and Richard. Low · 2009
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“Large deviation bounds for k
Richard. Low · 2009
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“The decoupling approach to quantum information theory”
Frédéric Dupuis · 2010
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“Colloquium: Area laws for the entanglement entropy”
J. Eisert, M. Cramer and M.. Plenio · 2010
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“Quantum computation and quantum information”
Michael. Nielsen and Isaac. Chuang · 2010
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“Matrix analysis”
Roger Horn and Charles Johnson · 2012
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“Representation theory: a first course”
William Fulton and Joe Harris · 2013
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Winton Brown and Omar Fawzi · 2015
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“Thrifty Shadow Estimation: Reusing Quantum Circuits and Bounding Tails”
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“Quantum Pseudoentanglement”
Scott Aaronson, Adam Bouland, Bill Fefferman, Soumik Ghosh, Umesh Vazirani, Chenyi Zhang and Zixin Zhou · 2024
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