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Probabilistic nonunitary gate in imaginary time evolution
Tongqi Liu, Jin-Guo Liu, H. Fan·June 17, 2020·DOI: 10.1007/s11128-021-03145-6
PhysicsComputer Science
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Abstract
Simulation of quantum materials is a significant application of quantum computers. In contrast with 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.