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

TL;DR

This paper proposes a cavity QED scheme using the Tavis-Cummings model to amplify differences between atomic quantum states through measurement-induced chaos, enabling approximate state orthogonalization for quantum discrimination.

Contribution

It introduces a novel measurement-based nonlinear transformation in a cavity QED setup that exhibits chaos and enables quantum state discrimination.

Findings

Demonstrates measurement-induced chaos in an atomic ensemble within a cavity.

Shows the scheme can purify and orthogonalize atomic states after few iterations.

Provides a method for quantum state discrimination using nonlinear dynamics.

Abstract

A cavity quantum electrodynamical scenario is proposed for implementing a Schr\"odinger microscope capable of amplifying differences between non orthogonal 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, allows 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.