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arXiv · 2301.11420

Classical Algorithm for the Mean Value problem over Short-Time Hamiltonian Evolutions

Reyhaneh Aghaei Saem·Ali Hamed Moosavian
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Abstract

Simulating physical systems has been an important application of classical and quantum computers. In this article we present an efficient classical algorithm for simulating time-dependent quantum mechanical Hamiltonians over constant periods of time. The algorithm presented here computes the mean value of an observable over the output state of such short-time Hamiltonian evolutions. In proving the performance of this algorithm we use Lieb-Robinson type bounds to limit the evolution of local operators within a lightcone. This allows us to divide the task of simulating a large quantum system into smaller systems that can be handled on normal classical computers.

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Reyhaneh Aghaei Saem, Ali Hamed Moosavian. 2023-01-26. Classical Algorithm for the Mean Value problem over Short-Time Hamiltonian Evolutions. https://arxiv.org/abs/2301.11420

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