Simulation of chaos-assisted tunneling in a semiclassical regime on existing quantum computers

Chepelianskii, A D; Shepelyansky, D L

doi:10.1103/PhysRevA.66.054301

Title: Simulation of chaos-assisted tunneling in a semiclassical regime on existing quantum computers

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Abstract

We present a quantum algorithm that allows one to simulate chaos-assisted tunneling in deep semiclassical regime on existing quantum computers. This opens additional possibilities for investigation of macroscopic quantum tunneling and realization of semiclassical Schroedinger cat oscillations [E. Schroedinger, Naturwissenschaften 32, 807 (1935)]. Our numerical studies determine the decoherence rate induced by noisy gates for these oscillations and propose a suitable parameter regime for their experimental implementation.

Authors:

Chepelianskii, A D ^[1]; Shepelyansky, D L ^[1]

Laboratoire de Physique Quantique, UMR 5626 du CNRS, Universite Paul Sabatier, 31062 Toulouse Cedex 4 (France)

Publication Date:: Fri Nov 01 00:00:00 EST 2002

OSTI Identifier:: 20632372

Resource Type:: Journal Article

Journal Name:: Physical Review. A

Additional Journal Information:: Journal Volume: 66; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.66.054301; (c) 2002 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947

Country of Publication:: United States

Language:: English

Subject:: 74 ATOMIC AND MOLECULAR PHYSICS; 36 MATERIALS SCIENCE; ALGORITHMS; CHAOS THEORY; COMPUTERIZED SIMULATION; INFORMATION THEORY; NUMERICAL ANALYSIS; OSCILLATIONS; PROBABILITY; QUANTUM MECHANICS; SEMICLASSICAL APPROXIMATION; TUNNEL EFFECT

Citation Formats


                    Chepelianskii, A D, Lycee Pierre de Fermat, Parvis des Jacobins, 31068 Toulouse Cedex 7, and Shepelyansky, D L. Simulation of chaos-assisted tunneling in a semiclassical regime on existing quantum computers.  United States: N. p., 2002. 
        Web.  doi:10.1103/PhysRevA.66.054301.

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                    Chepelianskii, A D, Lycee Pierre de Fermat, Parvis des Jacobins, 31068 Toulouse Cedex 7, & Shepelyansky, D L. Simulation of chaos-assisted tunneling in a semiclassical regime on existing quantum computers.  United States.  https://doi.org/10.1103/PhysRevA.66.054301

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                    Chepelianskii, A D, Lycee Pierre de Fermat, Parvis des Jacobins, 31068 Toulouse Cedex 7, and Shepelyansky, D L. 2002.  
        "Simulation of chaos-assisted tunneling in a semiclassical regime on existing quantum computers".  United States.  https://doi.org/10.1103/PhysRevA.66.054301.

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@article{osti_20632372,

  title        = {Simulation of chaos-assisted tunneling in a semiclassical regime on existing quantum computers},

  author       = {Chepelianskii, A D and Lycee Pierre de Fermat, Parvis des Jacobins, 31068 Toulouse Cedex 7 and Shepelyansky, D L},

  abstractNote = {We present a quantum algorithm that allows one to simulate chaos-assisted tunneling in deep semiclassical regime on existing quantum computers. This opens additional possibilities for investigation of macroscopic quantum tunneling and realization of semiclassical Schroedinger cat oscillations [E. Schroedinger, Naturwissenschaften 32, 807 (1935)]. Our numerical studies determine the decoherence rate induced by noisy gates for these oscillations and propose a suitable parameter regime for their experimental implementation.},

  doi          = {10.1103/PhysRevA.66.054301},

  url          = {https://www.osti.gov/biblio/20632372},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 5,

  volume       = 66,

  place        = {United States},

  year         = {Fri Nov 01 00:00:00 EST 2002},

  month        = {Fri Nov 01 00:00:00 EST 2002}

}

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https://doi.org/10.1103/PhysRevA.66.054301

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