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Bounding the quantum dimension with contextuality
University of Siegen, Germany .
University of Siegen, Germany .
University of Seville, Spain .
University of Siegen, Germany .
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2014 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 89, no 6Article in journal (Refereed) Published
Abstract [en]

We show that the phenomenon of quantum contextuality can be used to certify lower bounds on the dimension accessed by the measurement devices. To prove this, we derive bounds for different dimensions and scenarios of the simplest noncontextuality inequalities. Some of the resulting dimension witnesses work independently of the prepared quantum state. Our constructions are robust against noise and imperfections, and we show that a recent experiment can be viewed as an implementation of a state-independent quantum dimension witness.

Place, publisher, year, edition, pages
American Physical Society , 2014. Vol. 89, no 6
National Category
Physical Sciences
URN: urn:nbn:se:liu:diva-109183DOI: 10.1103/PhysRevA.89.062107ISI: 000338016100003OAI: diva2:737362
Available from: 2014-08-12 Created: 2014-08-11 Last updated: 2016-08-31Bibliographically approved

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Larsson, Jan-Åke
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