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A central problem in quantum information is to determine the minimal physical resources that are required for quantum computational speedup and, in particular, for fault-tolerant quantum computation.
When is the wigner quasi-probability density non-negative?
R. Hudson · 1974
Earlier work this paper cites.
Non-Classical States of the Electromagnetic Field
L. Mandel · 1986
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Nonabelions in the fractional quantum hall effect
Gregory Moore and Nicholas Read · 1991
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Mixed states with positive Wigner functions
T. Bröcker and R. F. Werner · 1995
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Lectures on Polytopes
Günter M. Ziegler · 1995
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Stabilizer Codes and Quantum Error Correction
Daniel Gottesman · 1997
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Mixed-state entanglement and distillation: Is there a “bound” entanglement in nature?
Michał Horodecki, Paweł Horodecki, and Ryszard Horodecki · 1998
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Power of One Bit of Quantum Information
E. Knill and R. Laflamme · 1998
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Classical model for bulk-ensemble NMR quantum computation
Rüdiger Schack and Carlton M. Caves · 1999
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Pairing of Cooper Pairs in a Fully Frustrated Josephson-Junction Chain
Benoit Douçot and Julien Vidal · 2002
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Quantum Computation with Abelian Anyons
Seth Lloyd · 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
Sergei Bravyi and Alexei Kitaev · 2004
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Discrete phase space based on finite fields
Kathleen S. Gibbons, Matthew J. Hoffman, and William K. Wootters · 2004
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Negativity of the Wigner function as an indicator of non-classicality
Anatole Kenfack and Karol Życzkowski · 2004
Cited alongside, same era.
Universal quantum computation with ideal clifford gates and noisy ancillas
Sergey Bravyi and Alexei Kitaev · 2005
Cited alongside, same era.
Entanglement and the power of one qubit
Animesh Datta, Steven T. Flammia, and Carlton M. Caves · 2005
Cited alongside, same era.
Discrete Wigner functions and quantum computational speedup
Ernesto F. Galvão · 2005
Cited alongside, same era.
Quantum Universality from Magic States Distillation Applied to CSS Codes
Ben W. Reichardt · 2005
Cited alongside, same era.
Classicality in discrete Wigner functions
Cecilia Cormick, Ernesto F. Galvão, Daniel Gottesman, Juan P. Paz, and Arthur O. Pittenger · 2006
Cited alongside, same era.
On the structure of protocols for magic state distillation
Earl Campbell and Dan Browne · 2009
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Restrictions on Transversal Encoded Quantum Gate Sets
Bryan Eastin and Emanuel Knill · 2009
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Framed Hilbert space: hanging the quasi-probability pictures of quantum theory
Christopher Ferrie and Joseph Emerson · 2009
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Tight noise thresholds for quantum computation with perfect stabilizer operations
Wim van Dam and Mark Howard · 2009
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Bound states for magic state distillation in fault-tolerant quantum computation
Earl T. Campbell and Dan E. Browne · 2010
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Necessity of negativity in quantum theory
Christopher Ferrie, Ryan Morris, and Joseph Emerson · 2010
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Quantum Error Correction and Fault-Tolerance , pages 196–201
Daniel Gottesman · 2006
Cited alongside, same era.
Hudson’s theorem for finite-dimensional quantum systems
D. Gross · 2006
Cited alongside, same era.
Non-negative Wigner functions in prime dimensions
D. Gross · 2007
Cited alongside, same era.
Evenly distributed unitaries: On the structure of unitary designs
D. Gross, K. Audenaert, and J. Eisert · 2007
Cited alongside, same era.
Transversality versus Universality for Additive Quantum Codes, September 2007
Bei Zeng, Andrew Cross, and Isaac L. Chuang · 2007
Cited alongside, same era.
Subsystem stabilizer codes cannot have a universal set of transversal gates for even one encoded qudit
Xie Chen, Hyeyoun Chung, Andrew W. Cross, Bei Zeng, and Isaac L. Chuang · 2008
Cited alongside, same era.
Catalysis and activation of magic states in fault-tolerant architectures
Earl T. Campbell · 2011
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Quasi-probability representations of quantum theory with applications to quantum information science
Christopher Ferrie · 2011
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Generalised state spaces and non-locality in fault tolerant quantum computing schemes
S. Virmani N. Ratanje · 2011
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Noise thresholds for higher-dimensional systems using the discrete wigner function
Wim van Dam and Mark Howard · 2011
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Christian Weedbrook, Stefano Pirandola, Raul Garcia-Patron, Nicolas J. Cerf, Timothy C. Ralph, Jeffrey H. Shapiro, and Seth Lloyd · 2011
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Qutrit magic state distillation
Hussain Anwar, Earl T. Campbell, and Dan E. Browne · 2012
Closest in time.
Magic state distillation in all prime dimensions using quantum Reed-Muller codes
Earl T. Campbell, Hussain Anwar, and Dan E. Browne · 2012
Closest in time.
Non-negative subtheories and quasiprobability representations of qubits
Joel Wallman and Stephen Bartlett · 2012
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