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We introduce a definition of the fidelity function for multi-round quantum strategies, which we call the strategy fidelity, that is a generalization of the fidelity function for quantum states.
Convex Analysis
R. Tyrrell Rockafellar · 1970
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The “transition probability” in the state space of a *-algebra
A. Uhlmann · 1976
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Stephen Wiesner · 1983
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Quantum cryptography: Public key distribution and coin tossing
Charles Bennett and Gilles Brassard · 1984
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Beyond strong subadditivity? Improved bounds on the contraction of generalized relative entropy
M. B. Ruskai · 1994
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Noncommuting mixed states cannot be broadcast
Howard Barnum, Carlton M. Caves, Christopher A. Fuchs, Richard Jozsa, and Benjamin Schumacher · 1996
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Is quantum bit commitment really possible?
Hoi-Kwong Lo and Hoi Fung Chau · 1997
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Unconditionally secure quantum bit commitment is impossible
Dominic Mayers · 1997
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Why quantum bit commitment and ideal quantum coin tossing are impossible
Hoi-Kwong Lo and Hoi Fung Chau · 1998
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Cryptographic distinguishability measures for quantum mechanical states
Christopher A. Fuchs and Jeroen van de Graaf · 1999
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Quantum Computation and Quantum Information
Michael A. Nielsen and Isaac Chuang · 2000
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A new protocol and lower bounds for quantum coin flipping
Andris Ambainis · 2001
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Degrees of concealment and bindingness in quantum bit commitment protocols
Robert W. Spekkens and Terence Rudolph · 2001
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Quantum coin-flipping
Alexei Kitaev · 2002
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Weak coin flipping with small bias
Iordanis Kerenidis and Ashwin Nayak · 2003
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Bit-commitment based quantum coin flipping
Ashwin Nayak and Peter Shor · 2003
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Multiparty quantum coin flipping
Andris Ambainis, Harry Buhrman, Yevgeniy Dodis, and Hein Röhrig · 2004
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Operational distance and fidelity for quantum channels
Viacheslav P. Belavkin, Giacomo Mauro D’Ariano, and Maxim Raginsky · 2005
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Quantum strategies and local operations
Gus Gutoski · 2009
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Semidefinite programs for completely bounded norms
John Watrous · 2009
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Optimal bounds for quantum bit commitment
André Chailloux and Iordanis Kerenidis · 2011
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On a measure of distance for quantum strategies
Gus Gutoski · 2012
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A short impossibility proof of quantum bit commitment
Giulio Chiribella, Giacomo Mauro D’Ariano, Paolo Perinotti, Dirk Schlingemann, and Reinhard F. Werner · 2013
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Giacomo Mauro D’Ariano, Dennis Kretschmann, Dirk Schlingemann, and Reinhard F. Werner · 2007
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Toward a general theory of quantum games
Gus Gutoski and John Watrous · 2007
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Transforming quantum operations: Quantum supermaps
Giulio Chiribella, Giacomo Mauro D’Ariano, and Paolo Perinotti · 2008
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Memory effects in quantum channel discrimination
Giulio Chiribella, Giacomo Mauro D’Ariano, and Paolo Perinotti · 2008
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Theoretical framework for quantum networks
Giulio Chiribella, Giacomo Mauro D’Ariano, and Paolo Perinotti · 2009
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André Chailloux and Iordanis Kerenidis · 2009
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Lower bounds for quantum oblivious transfer
André Chailloux, Iordanis Kerenidis, and Jamie Sikora · 2013
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Simpler semidefinite programs for completely bounded norms
John Watrous · 2013
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Strong connections between quantum encodings, nonlocality, and quantum cryptography
André Chailloux, Iordanis Kerenidis, and Jamie Sikora · 2014
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Quantum and classical coin-flipping protocols based on bit-commitment and their point games
Ashwin Nayak, Jamie Sikora, and Levent Tunçel · 2015
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Optimal bounds for semi-honest quantum oblivious transfer
André Chailloux, Gus Gutoski, and Jamie Sikora · 2016
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A search for quantum coin-flipping protocols using optimization techniques
Ashwin Nayak, Jamie Sikora, and Levent Tunçel · 2016
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Simple, near-optimal quantum protocols for die-rolling
Jamie Sikora · 2017
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