Probabilistic nonunitary gate in imaginary time evolution

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 applicat...

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Bibliographic Details
Published in:Quantum information processing 2021, Vol.20 (6)
Main Authors: Liu, Tong, Liu, Jin-Guo, Fan, Heng
Format: Article
Language:English
Subjects:
Algorithms
Data Structures and Information Theory
Evolution
Mathematical Physics
Physics
Physics and Astronomy
Probabilistic methods
Quantum computers
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
Statistical analysis
Tensors
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Summary: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.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-021-03145-6