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Non-Hermitian Quantum Annealing and Superradiance

2015/12/05 by Alexander I. Nesterov, Nesterov, Alexander I., Gennady P. Berman +5
Mathematics · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Optimization and Control (math.OC) #Quantum Physics (quant-ph) #math.OC #physics.comp-ph #quant-ph

paper · pdf · doi:10.48550/arxiv.1512.01618

15 pages, 8 figures. arXiv admin note: text overlap with arXiv:1211.3178

arxiv created 2015/12/05 · arxiv updated 2015/12/08

Abstract

We consider the non-Hermitian quantum annealing for the one-dimentional Ising spin chain, and for a large number of qubits. We show that the annealing time is significanly reduced for the non-Hermitian algorithm in comparison with the Hermitian one. We also demonstrtate the relation of the non-Hermitian quantum annealing with the superadiance transition in this system.

Citations

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