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Scientific article
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English

Certifying the Dimension of Classical and Quantum Systems in a Prepare-and-Measure Scenario with Independent Devices

Published inPhysical review letters, vol. 112, no. 14
Publication date2014
Abstract

We consider the problem of testing the dimension of uncharacterized classical and quantum systems in a prepare-and-measure setup. Here we assume the preparation and measurement devices to be independent, thereby making the problem nonconvex. We present a simple method for generating nonlinear dimension witnesses for systems of arbitrary dimension. The simplest of our witnesses is highly robust to technical imperfections, and can certify the use of qubits in the presence of arbitrary noise and arbitrarily low detection efficiency. Finally, we show that this witness can be used to certify the presence of randomness, suggesting applications in quantum information processing.

Citation (ISO format)
BOWLES, Joseph, QUINTINO, Marco Tulio, BRUNNER, Nicolas. Certifying the Dimension of Classical and Quantum Systems in a Prepare-and-Measure Scenario with Independent Devices. In: Physical review letters, 2014, vol. 112, n° 14. doi: 10.1103/PhysRevLett.112.140407
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ISSN of the journal0031-9007
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