Universität zu Köln

Hashagen, A. K., Flammia, S. T., Gross, D. and Wallman, J. J. (2018). Real Randomized Benchmarking. Quantum, 2. WIEN: VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF. ISSN 2521-327X

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Abstract

Randomized benchmarking provides a tool for obtaining precise quantitative estimates of the average error rate of a physical quantum channel. Here we define real randomized benchmarking, which enables a separate determination of the average error rate in the real and complex parts of the channel. This provides more fine-grained information about average error rates with approximately the same cost as the standard protocol. The protocol requires only averaging over the real Clifford group, a subgroup of the full complex Clifford group, and makes use of the fact that it forms an orthogonal 2-design. It therefore allows benchmarking of fault-tolerant gates for an encoding which does not contain the full Clifford group transversally. Furthermore, our results are especially useful when considering quantum computations on rebits (or real encodings of complex computations), in which case the real Clifford group now plays the role of the complex Clifford group when studying stabilizer circuits.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Hashagen, A. K. UNSPECIFIED UNSPECIFIED UNSPECIFIED Flammia, S. T. UNSPECIFIED UNSPECIFIED UNSPECIFIED Gross, D. UNSPECIFIED UNSPECIFIED UNSPECIFIED Wallman, J. J. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-176110
Journal or Publication Title:	Quantum
Volume:	2
Date:	2018
Publisher:	VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF
Place of Publication:	WIEN
ISSN:	2521-327X
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Quantum Science & Technology; Physics, Multidisciplinary Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/17611