Rényi entropy uncertainty relation for successive projective measurements

Rényi entropy uncertainty relation for successive projective measurements We investigate the uncertainty principle for two successive projective measurements in terms of Rényi 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Rényi entropy uncertainty relation for successive projective measurements

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Publisher
Springer US
Copyright
Copyright © 2015 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-015-0950-z
Publisher site
See Article on Publisher Site

Abstract

We investigate the uncertainty principle for two successive projective measurements in terms of Rényi 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.

Journal

Quantum Information ProcessingSpringer Journals

Published: Feb 18, 2015

References

  • The uncertainty principle
    Robertson, HP
  • Heisenbergs uncertainty principle
    Busch, P; Heinonen, T; Lahti, P
  • Experimental test of error-disturbance uncertainty relations by weak measurement
    Kaneda, F; Baek, S-Y; Ozawa, M; Edamatsu, K
  • Some extensions of the uncertainty principle
    Zozor, S; Portesi, M; Vignat, C
  • An optimal entropic uncertainty relation in a two-dimensional Hilbert space
    Ghirardi, GC; Marinatto, L; Romano, R
  • Uncertainty and certainty relations for complementary qubit observables in terms of Tsallis entropies
    Rastegin, AE
  • An optimal entropic uncertainty relation in a two-dimensional Hilbert space
    Ghirardi, G; Marinatto, L; Romano, R
  • Optimized entropic uncertainty for successive projective measurements
    Baek, K; Farrow, T; Son, W

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