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Paper 1

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

Stephen P. Jordan, Hirotada Kobayashi, Daniel Nagaj, Harumichi Nishimura

Year
2011
Journal
arXiv preprint
DOI
arXiv:1111.5306
arXiv
1111.5306

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.

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Paper 2

Topological quantum hashing with the icosahedral group.

Burrello M, Xu H, Mussardo G, Wan X.

Year
2010
Journal
Phys Rev Lett
DOI
10.1103/physrevlett.104.160502
arXiv
-

No abstract.

Open paper