Complex chaos in the conditional dynamics of qubits

T. Kiss, I. Jex, G. Alber, S. Vymětal

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number040301
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume74
Issue number4
DOIs
Publication statusPublished - Oct 9 2006

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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