Published June 23, 2017
| Version Published + Supplemental Material + Submitted
Journal Article
Open
Device-Independent Tests of Quantum Measurements
Abstract
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.
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).Attached Files
Published - PhysRevLett.118.250501.pdf
Submitted - 1609.07846.pdf
Supplemental Material - supp-mat.pdf.pdf
Files
1609.07846.pdf
Additional details
Identifiers
- Eprint ID
- 78478
- Resolver ID
- CaltechAUTHORS:20170623-080702638
Related works
- Describes
- https://arxiv.org/abs/1609.07846 (URL)
Funding
- Ministry of Education (Singapore)
- MOE2012-T3-1-009
- Japan Society for the Promotion of Science (JSPS)
- 17K17796
- Ministry of Manpower (Singapore)
Dates
- Created
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2017-06-24Created from EPrint's datestamp field
- Updated
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2023-03-16Created from EPrint's last_modified field