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

Torres, J. M. and Bernád, József Zsolt and Alber, G. and Kálmán, Orsolya and Kiss, Tamás (2017) Measurement-induced chaos and quantum state discrimination in an iterated Tavis-Cummings scheme. Physical Review A, 95. 023828. ISSN 2469-9926

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Abstract

A cavity quantum electrodynamical scenario is proposed for implementing a Schr¨odinger 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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