منابع مشابه
Irreversible quantum baker map.
We propose a generalization of the model of classical baker map on the torus, in which the images of two parts of the phase space do overlap. This transformation is irreversible and cannot be quantized by means of a unitary Floquet operator. A corresponding quantum system is constructed as a completely positive map acting in the space of density matrices. We investigate spectral properties of t...
متن کاملQuantum baker map on the sphere
We define a class of dynamical systems on the sphere analogous to the baker map on the torus. The classical maps are characterized by dynamical entropy equal to ln 2. We construct and investigate a family of the corresponding quantum maps. In the simplest case of the model the system does not possess a time reversal symmetry and the quantum map is represented by real, orthogonal matrices of eve...
متن کاملDynamical Entropy for the Quantized CAT Map
We estimate the dynamical entropy for the quantized CAT map. It turns out that the result depends on the rotation parameter and positivity of the dynamical entropy demands asymptotic abelianness. Further the estimates ooer a counterexample to the additivity of the dynamical entropy for tensor products.
متن کاملBreaking an encryption scheme based on chaotic Baker map
In recent years, a growing number of cryptosystems based on chaos have been proposed, many of them fundamentally flawed by a lack of robustness and security. This paper describes the security weaknesses of a recently proposed cryptographic algorithm with chaos at the physical level. It is shown that the security is trivially compromised for practical implementations of the cryptosystem with fin...
متن کاملPeriodic orbit basis for the quantum baker map.
A set of quantum states, dynamically related to the classical periodic orbits of a chaotic map, is used as a basis in which the description of the eigenstates of its quantum version is greatly simplified. This set can be improved with the inclusion of short time propagation along the stable and unstable manifolds of the periodic orbits resulting in a construction similar to the scar functions o...
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ژورنال
عنوان ژورنال: Scholarpedia
سال: 2012
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.9860