Measurement-induced chaos and quantum state discrimination in an iterated Tavis-Cummings scheme

Juan Mauricio Torres, József Zsolt Bernád, Gernot Alber, Orsolya Kálmán, and Tamás Kiss
Phys. Rev. A 95, 023828 – Published 14 February 2017

Abstract

A cavity quantum electrodynamical scenario is proposed for implementing a Schrödinger microscope capable of amplifying differences between nonorthogonal atomic quantum states. The scheme involves an ensemble of identically prepared two-level atoms interacting pairwise with a single mode of the radiation field as described by the Tavis-Cummings model. By repeated measurements of the cavity field and of one atom within each pair a measurement-induced nonlinear quantum transformation of the relevant atomic states can be realized. The intricate dynamical properties of this nonlinear quantum transformation, which exhibits measurement-induced chaos, allow approximate orthogonalization of atomic states by purification after a few iterations of the protocol and thus the application of the scheme for quantum state discrimination.

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  • Received 7 October 2016

DOI:https://doi.org/10.1103/PhysRevA.95.023828

©2017 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear DynamicsGeneral PhysicsAtomic, Molecular & Optical

Authors & Affiliations

Juan Mauricio Torres1,2, József Zsolt Bernád1, Gernot Alber1, Orsolya Kálmán3, and Tamás Kiss3

  • 1Institut für Angewandte Physik, Technische Universität Darmstadt, D-64289, Germany
  • 2Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apdo. Postal J-48, Puebla, Pue. 72570, México
  • 3Institute for Solid State Physics and Optics, Wigner Research Centre, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary

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Vol. 95, Iss. 2 — February 2017

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