## 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 contribution | The von Neumann entropy and information rate for integrable quaaantum GIibs ensembles 2 |
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Original language | English |

Pages (from-to) | 128 - 143 |

Number of pages | 16 |

Journal | Quantum Computers and Computing |

Volume | 4 (1) |

Publication status | Published - 2003 |