Universität zu Köln

Kueng, Richard and Ferrie, Christopher ORCID: 0000-0003-2736-9943 (2015). Near-optimal quantum tomography: estimators and bounds. New J. Phys., 17. BRISTOL: IOP PUBLISHING LTD. ISSN 1367-2630

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Abstract

We give bounds on the average fidelity achievable by any quantum state estimator, which is arguably the most prominently used figure of merit in quantum state tomography. Moreover, these bounds can be computed online-that is, while the experiment is running. We show numerically that these bounds are quite tight for relevant distributions of density matrices. We also show that the Bayesian mean estimator is ideal in the sense of performing close to the bound without requiring optimization. Our results hold for all finite dimensional quantum systems.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Kueng, Richard UNSPECIFIED UNSPECIFIED UNSPECIFIED Ferrie, Christopher UNSPECIFIED orcid.org/0000-0003-2736-9943 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-383788
DOI:	10.1088/1367-2630/17/12/123013
Journal or Publication Title:	New J. Phys.
Volume:	17
Date:	2015
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1367-2630
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FIDELITY; STATES Multiple languages Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/38378