Appearance of Gibbs states in quantum-state tomography

Jochen Rau
Phys. Rev. A 90, 062114 – Published 10 December 2014

Abstract

I investigate the extent to which the description of quantum systems by Gibbs states can be justified purely on the basis of tomographic data, without recourse to theoretical concepts such as infinite ensembles, environments, or information or to the systems' dynamics. I show that the use of Gibbs states amounts to a relevance hypothesis, which I spell out in detail. This hypothesis can be subjected to statistical hypothesis testing and hence assessed on the basis of the experimental data.

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  • Received 8 April 2014
  • Revised 2 October 2014

DOI:https://doi.org/10.1103/PhysRevA.90.062114

©2014 American Physical Society

Authors & Affiliations

Jochen Rau*

  • Institute for Theoretical Physics, University of Ulm, Albert-Einstein-Allee 11, 89069 Ulm, Germany and Department of Engineering, RheinMain University of Applied Sciences, Am Brückweg 26, 65428 Rüsselsheim, Germany

  • *jochen.rau@q-info.org; www.q-info.org

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Vol. 90, Iss. 6 — December 2014

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