Non-Hermitian quantum annealing and superradiance

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Abstract

We consider the non-Hermitian quantum annealing (NQA) for a onedimensional Ising spin chain, and for a large number of qubits. We show that the annealing time is significantly reduced for the non-Hermitian quantum algorithm in comparison with the Hermitian one. We optimize a performance of the NQA, and demonstrate the relation of the NQA with the superradiance transition in this system.

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Nesterov, A. I., Berman, G. P., de la Cruz, F. A., & Beas Zepeda, J. C. (2016). Non-Hermitian quantum annealing and superradiance. In Springer Proceedings in Physics (Vol. 184, pp. 329–344). Springer Science and Business Media, LLC. https://doi.org/10.1007/978-3-319-31356-6_22

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