Title
Achieving perfect completeness in classical-witness quantum merlin-arthur proof systems
Abstract
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.
Year
Venue
Keywords
2012
Quantum Information & Computation
novel quantum technique,independent interest,classical-witness quantum merlin-arthur proof,arbitrary classical reversible transformation,success probability,quantumly nonrelativizing,proof system,perfect completeness
Field
DocType
Volume
Quantum,Discrete mathematics,Witness,Completeness (statistics),Hadamard transform,Mathematics,Toffoli gate
Journal
12
Issue
ISSN
Citations 
5-6
Quantum Information and Computation Vol. 12 No. 5/6 pg. 461-471 (2012)
11
PageRank 
References 
Authors
0.70
20
4
Name
Order
Citations
PageRank
Stephen P. Jordan17910.76
Hirotada Kobayashi226019.98
Daniel Nagaj3575.84
harumichi nishimura422923.82