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The problem of equilibration and the computation of correlation functions on a quantum computer
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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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Cited by 1 Pith paper
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Microscopic Theory of Light-Induced Coherent Phonons Mediated by Quantum Geometry
The declared result, a Feynman-diagram derivation of coherent phonons with quantum geometric origin, is unverifiable because the submission's full text is an unrelated arXiv paper.
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