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

Abstract

A cavity quantum electrodynamical scenario is proposed for implementing a Schrödinger 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.

arXiv comment9 pages, 8 figures

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Cited by in corpus (9)

• Quantum state matching of qubits via measurement-induced nonlinear transformations
• Experimental orthogonalization of highly overlapping quantum states with single photons
• Phase Transition in Iterated Quantum Protocols for Noisy Inputs
• Quantum mechanics and speed limit of ultrafast local control in spin chains
• Mimicking states with limited resources: passing quantum quiz via global control
• Tunable Tradeoff between Quantum and Classical Computation via Nonunitary Zeno-like Dynamics
• Quantum state identification of qutrits via a nonlinear protocol
• Bifurcation and chaos in nonlinear Lindblad equations
• Chaos-Mediated Quantum State Discrimination Near Unit Fidelity