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Renyi entropy uncertainty relation for successive projective measurements

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Indexed by:Journal Papers

Date of Publication:2015-06-01

Journal:QUANTUM INFORMATION PROCESSING

Included Journals:SCIE、EI

Volume:14

Issue:6

Page Number:2239-2253

ISSN No.:1570-0755

Key Words:Renyi entropy; Uncertainty relation; Successive projective measurements

Abstract:We investigate the uncertainty principle for two successive projective measurements in terms of R,nyi entropy based on a single quantum system. Our results cover a large family of the entropy (including the Shannon entropy) uncertainty relations with a lower optimal bound. We compare our relation with other formulations of the uncertainty principle in two-spin observables measured on a pure quantum state of qubit. It is shown that the low bound of our uncertainty relation has better tightness.

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