Universität zu Köln

Riofrio, C. A., Gross, D., Flammia, S. T., Monz, T., Nigg, D., Blatt, R. and Eisert, J. (2017). Experimental quantum compressed sensing for a seven-qubit system. Nat. Commun., 8. LONDON: NATURE PUBLISHING GROUP. ISSN 2041-1723

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Abstract

Well-controlled quantum devices with their increasing system size face a new roadblock hindering further development of quantum technologies. The effort of quantum tomography-the reconstruction of states and processes of a quantum device-scales unfavourably: state-of-the-art systems can no longer be characterized. Quantum compressed sensing mitigates this problem by reconstructing states from incomplete data. Here we present an experimental implementation of compressed tomography of a seven-qubit system-a topological colour code prepared in a trapped ion architecture. We are in the highly incomplete-127 Pauli basis measurement settings-and highly noisy-100 repetitions each-regime. Originally, compressed sensing was advocated for states with few non-zero eigenvalues. We argue that low-rank estimates are appropriate in general since statistical noise enables reliable reconstruction of only the leading eigenvectors. The remaining eigenvectors behave consistently with a random-matrix model that carries no information about the true state.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Riofrio, C. A. UNSPECIFIED UNSPECIFIED UNSPECIFIED Gross, D. UNSPECIFIED UNSPECIFIED UNSPECIFIED Flammia, S. T. UNSPECIFIED UNSPECIFIED UNSPECIFIED Monz, T. UNSPECIFIED UNSPECIFIED UNSPECIFIED Nigg, D. UNSPECIFIED UNSPECIFIED UNSPECIFIED Blatt, R. UNSPECIFIED UNSPECIFIED UNSPECIFIED Eisert, J. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-231075
DOI:	10.1038/ncomms15305
Journal or Publication Title:	Nat. Commun.
Volume:	8
Date:	2017
Publisher:	NATURE PUBLISHING GROUP
Place of Publication:	LONDON
ISSN:	2041-1723
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language TOMOGRAPHY Multiple languages Multidisciplinary Sciences Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/23107