For a wide range of entropy measures, easy calculation of equilibria is possible using a principle of Game Theoretical Equilibrium related to Jaynes Maximum Entropy Principle. This follows previous work of the author and relates to Naudts [1], [2], and, partly, Abe and Bagci [3].

(Jaynes’) Method of (Shannon-Kullback’s) Relative Entropy Maximization (REM or MaxEnt) can be at least in the discrete case according to the Maximum Probability Theorem (MPT) viewed as an asymptotic instance of the Maximum Probability method (MaxProb). A simple bayesian interpretation of MaxProb is given here. MPT carries the interpretation over into REM.

1 0.1 Abstract The Jaynes-Cummings model of a two-level atom in a single mode cavity is of fundamental importance both in quantum optics and in quantum physics generally , involving the interaction of two simple quantum systems-one fermionic system (the TLA), the other bosonic (the cavity mode). Depending on the initial conditions a variety of interesting effects occur, ranging from ongoing osc...

The three main theoretical bases of the concepts of entropy and cross-entropy informationtheoretic, axiomatic and combinatorial are critically examined. It is shown that the combinatorial basis, proposed by Boltzmann and Planck, is the most fundamental (most primitive) basis of these concepts, since it provides (i) a derivation of the Kullback-Leibler cross-entropy and Shannon entropy functions...

We investigate superpositions of two-mode squeezed states (TMSSs), which have potential applications to quantum information processing and sensing. Firstly we study some properties these nonclassical such as the statistics each mode degree entanglement between two modes, can be higher than that a TMSS with same squeezing. The consider prepared by inducing Jaynes-Cummings anti-Jaynes-Cummings in...