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Using the measurement-based quantum computation model, we construct interactive proofs with non-communicating quantum provers and a classical verifier.
Proposed experiment to test local hidden-variable theories
John F. Clauser, Michael A. Horne, Abner Shimony, and Richard A. Holt · 1969
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Quantum generalizations of bell’s inequality
B. S. Cirel’son · 1980
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Matthew McKague · 1989
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Algebraic methods for interactive proof systems
C. Lund, L. Fortnow, H. Karloff, and N. Nisan · 1990
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IP = PSPACE
Adi Shamir · 1992
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Stabilizer Codes and Quantum Error Correction
Danial Gottesman · 1997
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Quantum cryptography with imperfect apparatus
Dominic Mayers and Andrew Yao · 1998
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Self-testing of universal and fault-tolerant sets of quantum gates
Wim van Dam, Frederic Magniez, Michele Mosca, and Miklos Santha · 2000
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A one-way quantum computer
Robert Raussendorf and Hans J. Briegel · 2001
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Stabilizer codes can be realized as graph codes, November 2001
D. Schlingemann · 2001
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Measurement-based quantum computation on cluster states
Robert Raussendorf, Daniel E. Browne, and Hans J. Briegel · 2003
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Self testing quantum apparatus
Dominic Mayers and Andrew Yao · 2004
Cited alongside, same era.
Self-testing of quantum circuits
Frédéric Magniez, Dominic Mayers, Michele Mosca, and Harold Ollivier · 2006
Cited alongside, same era.
Device-independent security of quantum cryptography against collective attacks
Antonio Acin, Nicolas Brunner, Nicolas Gisin, Serge Massar, Stefano Pironio, and Valerio Scarani · 2007
Cited alongside, same era.
Interactive proofs for quantum computations, October 2008
Dorit Aharonov, Michael Ben-Or, and Elad Eban · 2008
Cited alongside, same era.
Quantum Information Processing with Adversarial Devices
Matthew McKague · 2010
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Random numbers certified by bell’s theorem
S. Pironio, A. Acin, Antonio, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe · 2010
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Generalized self-testing and the security of the 6-state protocol
Matthew McKague and Michele Mosca · 2011
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Dorit Aharonov and Umesh Vazirani · 2012
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Interactive proofs with efficient quantum prover for recursive fourier sampling
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Anne Broadbent, Joseph Fitzsimons, and Elham Kashefi · 2009
Cited alongside, same era.
Device-independent state estimation based on bell’s inequalities
C.-E. Bardyn, T. C. H. Liew, S. Massar, M. McKague, and V. Scarani · 2009
Cited alongside, same era.
Device-independent quantum key distribution secure against collective attacks
Stefano Pironio, Antonio Acin, Nicolas Brunner, Nicolas Gisin, Serge Massar, and Valerio Scarani · 2009
Cited alongside, same era.
Graph Theory
Reinhard Diestel · 2010
Cited alongside, same era.
Matthew McKague · 2012
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Graph states, pivot minor, and universality of (x,z)-measurements
Mehdi Mhalla and Simon Perdrix · 2012
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Optimal robust quantum self-testing by binary nonlocal xor games
Carl A. Miller and Yaoyun Shi · 2012
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Robust self-testing of the singlet
M McKague, T H Yang, and V Scarani · 2012
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Ben W. Reichardt, Falk Unger, and Umesh Vazirani · 2012
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