Uncertainty principle guarantees genuine source of intrinsic randomness

Uncertainty principle guarantees genuine source of intrinsic randomness The Born’s rule introduces intrinsic randomness to the outcomes of a measurement performed on a quantum mechanical system. But, if the system is prepared in the eigenstate of an observable, then the measurement outcome of that observable is completely predictable, and hence, there is no intrinsic randomness. On the other hand, if two incompatible observables are measured (either sequentially on a particle or simultaneously on two identical copies of the particle), then uncertainty principle guarantees intrinsic randomness in the subsequent outcomes independent of the preparation state of the system. In this article, we show that this is true not only in quantum mechanics but for any no-signaling probabilistic theory. Also the minimum amount of intrinsic randomness that can be guaranteed for arbitrarily prepared state of the system is quantified by the amount of (un)certainty. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Uncertainty principle guarantees genuine source of intrinsic randomness

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Publisher
Springer US
Copyright
Copyright © 2013 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/s11128-013-0695-5
Publisher site
See Article on Publisher Site

References

  • Complementarity and uncertainty in Mach-Zehnder interferometry and beyond
    Busch, P; Shilladay, C
  • The uncertainty principle
    Robertson, HP
  • The operational meaning of min- and max-entropy
    Koenig, R; Renner, R; Schaffner, C
  • Hidden variables and the two theorems of John Bell
    Mermin, ND
  • Models of Zermelo Frankel set theory as carriers for the mathematics of physics. II
    Benioff, PA
  • Degree of complementarity determines the nonlocality in quantum mechanics
    Banik, M; Gazi, MDR; Ghosh, S

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