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Non-Hermitian Quantum Annealing and Superradiance

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Non-Hermitian Hamiltonians in Quantum Physics

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 184))

Abstract

We consider the non-Hermitian quantum annealing (NQA) for a one-dimensional 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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Acknowledgments

A.I.N. acknowledges the support from the CONACyT. The work of G.P.B. was carried out under the auspices of the National Nuclear Security Administration of the U.S. Department of Energy at Los Alamos National Laboratory under Contract No. DE-AC52-06NA25396.

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Authors and Affiliations

  1. Departamento de Física, CUCEI, Universidad de Guadalajara, Av. Revolución 1500, Guadalajara, 44420, Jalisco, CP, Mexico

    Alexander I. Nesterov, Fermín Aceves de la Cruz & Juan Carlos Beas Zepeda

  2. Los Alamos National Laboratory and the New Mexico Consortium, Los Alamos, NM, 87544, USA

    Gennady P. Berman

Authors
  1. Alexander I. Nesterov
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  2. Gennady P. Berman
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  3. Fermín Aceves de la Cruz
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  4. Juan Carlos Beas Zepeda
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Corresponding author

Correspondence to Alexander I. Nesterov .

Editor information

Editors and Affiliations

  1. Dipartimento di Energia, Università degli Studi di Palermo, Palermo, Italy

    Fabio Bagarello

  2. Dipartimento di Fisica e Chimica, Università degli Studi di Palermo, Palermo, Palermo, Italy

    Roberto Passante

  3. Matematica e Informatica, Università degli Studi di Palermo, Palermo, Italy

    Camillo Trapani

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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: Bagarello, F., Passante, R., Trapani, C. (eds) Non-Hermitian Hamiltonians in Quantum Physics. Springer Proceedings in Physics, vol 184. Springer, Cham. https://doi.org/10.1007/978-3-319-31356-6_22

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