Generalized Landau-Pollak uncertainty relation

Journal Article · Sat Dec 15 00:00:00 EST 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.062108· OSTI ID:21140609

Miyadera, Takayuki ^[1]; Imai, Hideki ^[1]

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1. Research Center for Information Security, National Institute of Advanced Industrial Science and Technology, Daibiru Building 1102, Sotokanda, Chiyoda-ku, Tokyo, 101-0021 (Japan)

The Landau-Pollak uncertainty relation treats a pair of rank one projection valued measures and imposes a restriction on their probability distributions. It gives a nontrivial bound for summation of their maximum values. We give a generalization of this bound (weak version of the Landau-Pollak uncertainty relation). Our generalization covers a pair of positive operator valued measures. A nontrivial but slightly weak inequality that can treat an arbitrary number of positive operator valued measures is also presented. A possible application to the problem of separability criterion is also suggested.

• OSTI ID: 21140609
• Journal Information: Physical Review. A, Vol. 76, Issue 6; Other Information: DOI: 10.1103/PhysRevA.76.062108; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUND STATE
DISTRIBUTION
MATHEMATICAL OPERATORS
PROBABILITY
QUANTUM OPERATORS
UNCERTAINTY PRINCIPLE