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

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

1998-10-21

arxiv.org/abs/quant-ph/9810063v3

Phys.Rev. A61 (2000) 22301

Physics

Quantum Physics

25 pages LaTex + 8 figures; various additional comments, results and corrections

Scientific paper

10.1103/PhysRevA.61.022301

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. The quantum algorithms that we present are hard to simulate on a classical computer. This indicates that they could provide an exponential speedup over what can be achieved with a classical device.

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