On the concentration of quantum states in phase space

R. F. Werner

On the concentration of quantum states in phase space

Institute of Theoretical Physics

Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review

Abstract

Let E(x), for x in a 2d-dimensional phase space, be an irreducible Weyl system, and Rto R a convex function with 0)=0. We discuss the maximum of int dx|ltE(x)psi) with respect to unit vectors psi. When t)=tlt pltinfty the maximum is attained if and only if phi and psi are coherent states with respect to the same quadratic form. We show that this statement is not correct for more general convex functions Phi.

Original language	English
Title of host publication	Quantum probability and related topics, vol. IX
Editors	L. Accardi
Place of Publication	Singapore
Publisher	World Scientific Publishing Co. Pte Ltd
Pages	389-399
Number of pages	11
Publication status	Published - 1994

Cite this

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title = "On the concentration of quantum states in phase space",

abstract = "Let E(x), for x in a 2d-dimensional phase space, be an irreducible Weyl system, and Rto R a convex function with 0)=0. We discuss the maximum of int dx|ltE(x)psi) with respect to unit vectors psi. When t)=tlt pltinfty the maximum is attained if and only if phi and psi are coherent states with respect to the same quadratic form. We show that this statement is not correct for more general convex functions Phi.",

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AB - Let E(x), for x in a 2d-dimensional phase space, be an irreducible Weyl system, and Rto R a convex function with 0)=0. We discuss the maximum of int dx|ltE(x)psi) with respect to unit vectors psi. When t)=tlt pltinfty the maximum is attained if and only if phi and psi are coherent states with respect to the same quadratic form. We show that this statement is not correct for more general convex functions Phi.

M3 - Contribution to book/anthology

SP - 389

EP - 399

BT - Quantum probability and related topics, vol. IX

A2 - Accardi, L.

PB - World Scientific Publishing Co. Pte Ltd

CY - Singapore

ER -