Dimension witnesses and quantum state discrimination

Nicolas Brunner*, Miguel Navascués, Tamás Vértesi

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

56 Citations (Scopus)


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.
Original languageEnglish
Article number150501
Number of pages4
JournalPhysical Review Letters
Issue number15
Publication statusPublished - 8 Apr 2013


  • quant-ph


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