On the problem of equilibration and the computation of correlation functions on a quantum computer

Preprint

22 October 1998

preprint
Published by arXiv in arXiv

Abstract

We address the question of how a quantum computer can be used to simulate experiments on quantum systems in thermal equilibrium. We present two approaches for the preparation of the equilibrium state on a quantum computer. For both approaches, we show that the output state of the algorithm, after long enough time, is the desired equilibrium. We present a numerical analysis of one of these approaches for small systems. We show how equilibrium (time)-correlation functions can be efficiently estimated on a quantum computer, given a preparation of the equilibrium state.

Keywords

ALGORITHM
CORRELATION FUNCTIONS
DESIRED EQUILIBRIUM
EQUILIBRATION
EQUILIBRIUM STATE
NUMERICAL ANALYSIS
OUTPUT STATE
QUANTUM COMPUTER
SMALL SYSTEMS
THERMAL EQUILIBRIUM

All Related Versions

Version 1, 1998-10-22, ArXiv
Version 2, 1998-11-02, ArXiv
Version 3, 1999-05-04, ArXiv
Published version: Physical Review A, 61 (2), 022301.

This publication has 0 references indexed in Scilit: