Decoherence and linear entropy increase in the quantum baker's map

Details Decoherence and linear entropy increase in the quantum baker's map Decoherence and linear entropy increase in the quantum baker's map

2001-07-13

arxiv.org/abs/quant-ph/0107071v1

Phys. Rev. E 66, 036212 (2002)

Physics

Quantum Physics

7 pages, LaTex

Scientific paper

10.1103/PhysRevE.66.036212

We show that the coarse-grained quantum baker's map exhibits a linear entropy increase at an asymptotic rate given by the Kolmogorov-Sinai entropy of the classical chaotic baker's map. The starting point of our analysis is a symbolic representation of the map on a string of $N$ qubits, i.e., an $N$-bit register of a quantum computer. To coarse-grain the quantum evolution, we make use of the decoherent histories formalism. As a byproduct, we show that the condition of medium decoherence holds asymptotically for the coarse-grained quantum baker's map.

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