Monday, February 6, 2012

1111.5306 (Stephen P. Jordan et al.)

Achieving perfect completeness in classical-witness quantum
Merlin-Arthur proof systems
   [PDF]

Stephen P. Jordan, Hirotada Kobayashi, Daniel Nagaj, Harumichi Nishimura
This paper proves that classical-witness quantum Merlin-Arthur proof systems
can achieve perfect completeness. That is, QCMA = QCMA1. This holds under any
gate set with which the Hadamard and arbitrary classical reversible
transformations can be exactly implemented, e.g., {Hadamard, Toffoli, NOT}. The
proof is quantumly nonrelativizing, and uses a simple but novel quantum
technique that additively adjusts the success probability, which may be of
independent interest.
View original: http://arxiv.org/abs/1111.5306

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