The classical limit for a class of quantum baker's maps

Abstract

We show that the class of quantum baker's maps defined by Schack and Caves have the proper classical limit provided the number of momentum bits approaches infinity. This is done by deriving a semi-classical approximation to the coherent-state propagator.

18 pages, 5 figures

References in corpus (15)

• Classical Equations for Quantum Systems
• Decoherence, Chaos, and the Correspondence Principle
• Semiclassical Approximations in Phase Space with Coherent States
• Continuous Quantum Measurement and the Emergence of Classical Chaos
• Using a quantum computer to investigate quantum chaos
• Quantum nonlinear dynamics of continuously measured systems
• Realizing the quantum baker's map on an NMR quantum computer
• Overcoming the wall in the semiclassical baker's map
• Classical limit in terms of symbolic dynamics for the quantum baker's map
• On the Quantum Baker's Map and its Unusual Traces
• Semiclassical properties and chaos degree for the quantum baker's map
• Boundary contributions to the semiclassical traces of the baker's map
• Quantum baker map on the sphere
• A Canonical Quantization of the Baker's Map
• Periodic orbit quantization of a Hamiltonian map on the sphere

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• Hypersensitivity and chaos signatures in the quantum baker's maps
• Entangling power of baker's map: Role of symmetries
• Quantum chaos in the spectrum of operators used in Shor's algorithm
• Generalized Quantum Baker Maps as perturbations of a simple kernel
• The modular multiplication operator and the quantized bakers maps
• Grand Unification of All Discrete Wigner Functions on $d\times d$ Phase Space
• Chaotic Roots of the Modular Multiplication Dynamical System in Shor's Algorithm
• Eigenstates and spectral projection for quantized baker's map