Quantum stochastic series expansion methods

Kok Chuan Tan; Dhiman Bowmick; Pinaki Sengupta

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arXiv · 2010.00949

Quantum stochastic series expansion methods

Kok Chuan Tan·Dhiman Bowmick·Pinaki Sengupta

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Abstract

A quantum implementation of the Stochastic Series Expansion (SSE) Monte Carlo method is proposed, and it is shown that quantum SSE offers significant advantages over classical implementations of SSE. In particular, for problems where classical SSE encounters the sign problem, the cost of implementing a Monte Carlo iteration scales only linearly with system size in quantum SSE, while it may scale exponentially with system size in classical SSE. In cases where classical SSE can be efficiently implemented, quantum SSE still offers an advantage by allowing for more general observables to be measured.

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Kok Chuan Tan, Dhiman Bowmick, Pinaki Sengupta. 2020-10-02. Quantum stochastic series expansion methods. https://arxiv.org/abs/2010.00949

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