The von Neumann entropy and information rate for integrable quantum Gibbs ensembles 2

OT Johnson, Y Suhov

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

In this and the subsequent paper under the same title a number of exactly sovlable models of quantum statistical mechanics are studied in a context of quantum information theory. The basic model in this paper is a lattice system of ideal (free) particles (bosons or fermions), in the infinite-volume lmit of the grand canonical Gibbs ensemble. We interpet the (limiting) von Neumann entropy rate h as the information rate and use the classical Lempel-Ziv universal coding algorithm to assess the value of h from a single eigenvector W of the Gibbs ensemble density matrix p. We also show how to apply this scheme to the Calogero model.
Translated title of the contributionThe von Neumann entropy and information rate for integrable quaaantum GIibs ensembles 2
Original languageEnglish
Pages (from-to)128 - 143
Number of pages16
JournalQuantum Computers and Computing
Volume4 (1)
Publication statusPublished - 2003

Bibliographical note

Publisher: SPC "Regular and Chaotic Dynamics"

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