Sampling entropies and operational phase-space measurement. I. General formalism
File(s)
Author(s)
BUZEK, V
KEITEL, CH
KNIGHT, PL
Type
Journal Article
Abstract
We present an entropic description of quantum-mechanical states based on an operational approach to a phase-space measurement. We give a simple phase-space interpretation of sampling entropies in terms of which we derive very general entropic uncertainty relations reflecting the degree of the phase-space uncertainty of the quantum-mechanical state in the given measurement (i.e., for a given ‘‘quantum-ruler’’ state). We relate the sampling entropy to the von Neumann and Shannon entropy and show that the Wehrl entropy represents a particular example of a sampling entropy when the quantum ruler is represented by coherent states.
Date Issued
1995-03-01
Date Acceptance
1994-10-26
Citation
Physical Review A: Atomic, Molecular and Optical Physics, 1995, 51 (3), pp.2575-2593
ISSN
1050-2947
Publisher
American Physical Society
Start Page
2575
End Page
2593
Journal / Book Title
Physical Review A: Atomic, Molecular and Optical Physics
Volume
51
Issue
3
Copyright Statement
© American Physical Society
Identifier
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1995QN23100102&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
Subjects
COHERENT STATES
DECOHERENCE
DISTRIBUTIONS
INTELLIGENT SPIN STATES
Optics
Physical Sciences
Physics
Physics, Atomic, Molecular & Chemical
PROBABILITY
QUANTUM-MECHANICS
Science & Technology
SQUEEZED STATES
TERMS
UNCERTAINTY RELATIONS
WIGNER FUNCTION
Publication Status
Published