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arXiv · 2006.09726

Probabilistic Nonunitary Gate in Imaginary Time Evolution

Tong Liu·Jin-Guo Liu·Heng Fan
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Abstract

Simulation of quantum matters is a significant application of quantum computers. In contrast to the unitary operation which can be realized naturally on a quantum computer, the implementation of nonunitary operation, widely used in classical approaches, needs special designing. Here, by application of Grover's algorithm, we extend the probabilistic method of implementing nonunitary operation and show that it can promote success probability without fidelity decreasing. This method can be applied to problems of imaginary time evolution and contraction of tensor networks on a quantum computer.

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Tong Liu, Jin-Guo Liu, Heng Fan. 2020-09-02. Probabilistic Nonunitary Gate in Imaginary Time Evolution. https://doi.org/10.1007/s11128-021-03145-6

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