Quantum state sensitivity to initial conditions

Details Quantum state sensitivity to initial conditions Quantum state sensitivity to initial conditions

1998-02-17

arxiv.org/abs/quant-ph/9802047v1

Physics

Quantum Physics

1 .tex file and 2 .ps figures. Physical Review A (to appear 1 May)

Scientific paper

The different time-dependent distances of two arbitrarily close quantum or classical-statistical states to a third fixed state are shown to imply an experimentally relevant notion of state sensitivity to initial conditions. A quantitative classification scheme of quantum states by their sensitivity and instability in state space is given that reduces to the one performed by classical-mechanical Lyapunov exponents in the classical limit

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