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

Abstract

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.

7 pages, LaTex

Cited by in corpus (7)

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• Quantum dynamical entropy and decoherence rate
• Entangling power of baker's map: Role of symmetries
• On Quantum - Classical Correspondence for Baker's Map
• A simple necessary decoherence condition for a set of histories
• Classical predictability and coarse-grained evolution of the quantum baker's map
• Determination of the noise parameters in a one-dimensional open quantum system