Experimental quantum compressed sensing for a seven-qubit system

Riofrio CA, Gross D, Flammia ST, Monz T, Nigg D, Blatt R, Eisert J (2017)

Publication Type: Journal article

Publication year: 2017

Journal

Nature Communications Nature Publishing Group: Nature Communications

Book Volume: 8

Article Number: 15305

DOI: 10.1038/ncomms15305

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.

Involved external institutions

Freie Universität Berlin

Germany (DE) Universität zu Köln

Germany (DE) University of Sydney (USYD)

Australia (AU) Leopold-Franzens-Universität Innsbruck / University of Innsbruck

Austria (AT)

How to cite

APA:

Riofrio, C.A., Gross, D., Flammia, S.T., Monz, T., Nigg, D., Blatt, R., & Eisert, J. (2017). Experimental quantum compressed sensing for a seven-qubit system. Nature Communications, 8. https://doi.org/10.1038/ncomms15305

MLA:

Riofrio, C. A., et al. "Experimental quantum compressed sensing for a seven-qubit system." Nature Communications 8 (2017).

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