Phys. Rev. E 66, 036212 (2002) [11 pages]Decoherence and linear entropy increase in the quantum baker’s mapReceived 12 July 2001; revised 26 February 2002; published 23 September 2002 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 by-product, we show that the condition of medium decoherence holds asymptotically for the coarse-grained quantum baker’s map. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.66.036212
DOI:
10.1103/PhysRevE.66.036212
PACS:
05.45.Mt, 05.90.+m, 89.70.+c
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