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

Abstract

This paper considers the problem of data compression for dependent quantum systems. It is the second in a series under the same title. As in the previous paper, we are interested in Lempel--Ziv encoding for quantum Gibbs ensembles. Here, we consider the canonical ideal lattice Bose- and Fermi-ensembles. We prove that as in the case of the grand canonical ensemble, the (limiting) von Neumann entropy rate $h$ can be assessed, via the classical Lempel--Ziv universal coding algorithm, from a single eigenvector of the density matrix.

20 pages

References in corpus (1)

• Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance

Cited by in corpus (1)

• Discrete versions of the transport equation and the Shepp-Olkin conjecture