Soklakov, A. N. and Schack, R. (2002) Decoherence and linear entropy increase in the quantum baker's map. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 66
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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.
This is a Submitted version This version's date is: 2002 This item is not peer reviewed
https://repository.royalholloway.ac.uk/items/69e3407b-1703-cba7-66ef-278a9ace89d0/4/
Deposited by Research Information System (atira) on 27-Jan-2013 in Royal Holloway Research Online.Last modified on 27-Jan-2013