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Device-Independent Tests of Quantum Measurements

Dall’Arno, Michele and Brandsen, Sarah and Buscemi, Francesco and Vedral, Vlatko (2017) Device-Independent Tests of Quantum Measurements. Physical Review Letters, 118 (25). Art. No. 250501. ISSN 0031-9007. doi:10.1103/PhysRevLett.118.250501.

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We consider the problem of characterizing the set of input-output correlations that can be generated by an arbitrarily given quantum measurement. Our main result is to provide a closed-form, full characterization of such a set for any qubit measurement, and to discuss its geometrical interpretation. As applications, we further specify our results to the cases of real and complex symmetric, informationally complete measurements and mutually unbiased bases of a qubit, in the presence of isotropic noise. Our results provide the optimal device-independent tests of quantum measurements.

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Additional Information:© 2017 American Physical Society. Received 25 September 2016; revised manuscript received 17 May 2017; published 22 June 2017. M. D. acknowledges support from the Singapore Ministry of Education Academic Research Fund Tier 3 (Grant No. MOE2012-T3-1-009). F. B acknowledges support from the Japan Society for the Promotion of Science (JSPS) KAKENHI, Grant No. 17K17796. V. V. acknowledges support from the Ministry of Education and the Ministry of Manpower (Singapore).
Funding AgencyGrant Number
Ministry of Education (Singapore)MOE2012-T3-1-009
Japan Society for the Promotion of Science (JSPS)17K17796
Ministry of Manpower (Singapore)UNSPECIFIED
Issue or Number:25
Record Number:CaltechAUTHORS:20170623-080702638
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78478
Deposited By: Tony Diaz
Deposited On:24 Jun 2017 02:53
Last Modified:15 Nov 2021 17:40

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