Device-Independent Tests of Classical and Quantum Dimensions

Rodrigo Gallego*, Nicolas Brunner, Christopher Hadley, Antonio Acin

*Corresponding author for this work

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

143 Citations (Scopus)


We address the problem of testing the dimensionality of classical and quantum systems in a "blackbox'' scenario. We develop a general formalism for tackling this problem. This allows us to derive lower bounds on the classical dimension necessary to reproduce given measurement data. Furthermore, we generalize the concept of quantum dimension witnesses to arbitrary quantum systems, allowing one to place a lower bound on the Hilbert space dimension necessary to reproduce certain data. Illustrating these ideas, we provide simple examples of classical and quantum dimension witnesses.

Original languageEnglish
Article number230501
Number of pages4
JournalPhysical Review Letters
Issue number23
Publication statusPublished - 30 Nov 2010

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