Measurement induced chaos with entangled states

The dynamics of an ensemble of identically prepared two-qubit systems is investigated which is subjected to the iteratively applied measurements and conditional selection of a typical entanglement purification protocol. It is shown that the resulting measurement-induced non-linear dynamics of the tw...

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Bibliographic Details
Published in:arXiv.org 2011-07
Main Authors: Kiss, T, Vymětal, S, Tóth, L D, Gábris, A, Jex, I, Alber, G
Format: Article
Language:English
Subjects:
Asymptotic properties
Dynamical systems
Entangled states
Initial conditions
Nonlinear dynamics
Quantum entanglement
Online Access:Get full text
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Summary:The dynamics of an ensemble of identically prepared two-qubit systems is investigated which is subjected to the iteratively applied measurements and conditional selection of a typical entanglement purification protocol. It is shown that the resulting measurement-induced non-linear dynamics of the two-qubit state exhibits strong sensitivity to initial conditions and also true chaos. For a special class of initially prepared two-qubit states two types of islands characterize the asymptotic limit. They correspond to a separable and a maximally entangled two-qubit state, respectively, and their boundaries form fractal-like structures. In the presence of incoherent noise an additional stable asymptotic cycle appears.
ISSN:2331-8422
DOI:10.48550/arxiv.1104.3107