Dimension witnesses and quantum state discrimination

2012/09/30 by Nicolas Brunner, Miguel Navascués, Tamás Vértesi · 2 citations
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physrevlett.110.150501

published as Phys. Rev. Lett. 110, 150501 (2013) · 5 pages

arxiv created 2013/04/14 · arxiv updated 2013/04/16

Abstract

Dimension witnesses allow one to test the dimension of an unknown physical system in a device-independent manner, that is, without placing assumptions about the functioning of the devices used in the experiment. Here we present simple and general dimension witnesses for quantum systems of arbitrary Hilbert space dimension. Our approach is deeply connected to the problem of quantum state discrimination, hence establishing a strong link between these two research topics. Finally, our dimension witnesses can distinguish between classical and quantum systems of the same dimension, making them potentially useful for quantum information processing.

Cited by

• Revealing hidden nonlocality and preparation contextuality for an arbitrary input Bell inequality
• Retrodiction of measurement outcomes on a single quantum system reveals entanglement with its environment

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