Liu, Y.
, Jordan, S.
, Wocjan, P.
and Bookatz, A.
(2013),
Testing quantum expanders is co-QMA-complete, Theory of Computing Systems, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=912561
(Accessed October 11, 2024)
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
Testing quantum expanders is co-QMA-complete
Published
Author(s)
, , Pawel Wocjan, Adam Bookatz
Abstract
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 this problem is co-QMA-complete. This has applications to testing randomized constructions of quantum expanders, and studying thermalization of open quantum systems.Citation
Theory of Computing Systems
Pub Type
Journals
Download Paper
Keywords
Computational complexity, quantum information, quantum expanders, mixing time, thermalization
Citation
Issues
If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.
Created May 31, 2013, Updated February 19, 2017