Entanglement and nonextensive statistics
نویسنده
چکیده
It is presented a generalization of the von Neumann mutual information in the context of Tsallis’ nonextensive statistics. As an example, entanglement between two (two-level) quantum subsystems is discussed. Important changes occur in the generalized mutual information, which measures the degree of entanglement, depending on the entropic index q.
منابع مشابه
Interacting Many-Investor Models, Opinion Formation and Price Formation with Non-extensive Statistics
We seek to utilize the nonextensive statistics to the microscopic modeling of the interacting many-investor dynamics that drive the price changes in a market. The statistics of price changes are known to be fit well by the Students-T and power-law distributions of the nonextensive statistics. We therefore derive models of interacting investors that are based on the nonextensive statistics and w...
متن کامل6 M ay 2 00 3 Power law distribution of Rényi entropy for equilibrium systems having nonadditive energy
Using Rényi entropy, an alternative thermo-statistics to Tsallis one for nonextensive systems at equilibrium is discussed. We show that it is possible to have the q-exponential distribution function for equilibrium nonextensive systems having nonadditive energy but additive entropy. It is also shown that additive energy makes no sense and is not suitable for interacting systems described by non...
متن کامل1 2 Ja n 20 06 On different q - systems in nonextensive thermostatistics
It is known that the nonextensive statistics was originally formulated for the systems composed of subsystems having same q. In this paper, the existence of composite system with different q subsystems is investigated by fitting the power law degree distribution of air networks with q-exponential distribution. Then a possible extension the nonextensive statistics to different q systems is provi...
متن کاملM ay 2 00 3 Power law distribution of Rényi entropy for equilibrium systems having nonadditive energy
Using Rényi entropy, an alternative thermo-statistics to Tsallis one for nonextensive systems at equilibrium is discussed. We show that it is possible to have the q-exponential distribution function for equilibrium nonextensive systems having nonadditive energy but additive entropy. It is also shown that additive energy, as a approximation within nonextensive statistics, is not suitable for dis...
متن کاملA nonextensive statistics approach for Langmuir waves in relativistic plasmas
The nonextensive statistics formalism proposed by Tsallis has found many applications in systems with memory effects, long range spatial correlations, and in general whenever the phase space has fractal or multi-fractal structure. These features may appear naturally in turbulent or non-neutral plasmas. In fact, the equilibrium distribution functions which maximize the nonextensive entropy stron...
متن کامل