Measurement induced chaos with entangled states

Details Measurement induced chaos with entangled states Measurement induced chaos with entangled states

2011-04-15

arxiv.org/abs/1104.3107v2

Phys. Rev. Lett. 107, 100501 (2011)

Physics

Quantum Physics

5 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.107.100501

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.

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