Quantum nonexpander problem is quantum-Merlin-Arthur-complete

A quantum expander is a unital quantum channel that is rapidly mixing, has only a few Kraus operators, and can be implemented efficiently on a quantum computer. We consider the problem of estimating the mixing time (i.e., the spectral gap) of a quantum expander. We show that the problem of deciding...

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Bibliographic Details
Main Authors: Jordan, Stephen P. (Author), Liu, Yi-Kai (Author), Wocjan, Pawel (Contributor), Bookatz, Adam D. (Contributor)
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics (Contributor), Massachusetts Institute of Technology. Department of Mathematics (Contributor), Massachusetts Institute of Technology. Department of Physics (Contributor)
Format: Article
Language:English
Published: American Physical Society, 2014-08-15T18:29:29Z.
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