Release Time:2019-03-09  Hits:

Indexed by: Journal Papers

Date of Publication: 2015-06-01

Journal: QUANTUM INFORMATION PROCESSING

Included Journals: EI、SCIE

Volume: 14

Issue: 6

Page Number: 2239-2253

ISSN: 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.