Complex chaos in the conditional dynamics of qubits

Details Complex chaos in the conditional dynamics of qubits Complex chaos in the conditional dynamics of qubits

2005-11-22

arxiv.org/abs/quant-ph/0511208v3

Phys. Rev. A 74, 040301(R) (2006)

Physics

Quantum Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevA.74.040301

We analyze the consequences of iterative measurement-induced nonlinearity on the dynamical behavior of qubits. We present a one-qubit scheme where the equation governing the time evolution is a complex-valued nonlinear map with one complex parameter. In contrast to the usual notion of quantum chaos, exponential sensitivity to the initial state occurs here. We calculate analytically the Lyapunov exponent based on the overlap of quantum states, and find that it is positive. We present a few illustrative examples of the emerging dynamics.

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