On Quantum Markov Chains on Cayley tree II: Phase transitions for the associated chain with XY-model on the Cayley tree of order three

In the present paper we study forward Quantum Markov Chains (QMC) defined on a Cayley tree. Using the tree structure of graphs, we give a construction of quantum Markov chains on a Cayley tree. By means of such constructions we prove the existence of a phase transition for the XY-model on a Cayley tree of order three in QMC scheme. By the phase transition we mean the existence of two now quasi equivalent QMC for the given family of interaction operators $\{K_{}\}$.Comment: 34 pages, 1 figur

Dynamical q-deformation in quantum theory and the stochastic limit

A model of particle interacting with quantum field is considered. The model includes as particular cases the polaron model and non-relativistic quantum electrodynamics. We show that the field operators obey q-commutation relations with q depending on time. After the stochastic (or van Hove) limit, due to the nonlinearity, the atomic and field degrees of freedom become entangled in the sense that the field and the atomic variables no longer commute but give rise to a new algebra with new commutation relations replacing the Boson ones. This new algebra allows to give a simple proof of the fact that the non crossing half-planar diagrams give the dominating contribution in a weak coupling regime and to calculate explicitly the correlations associated to the new algebra. The above results depend crucially on the fact that we do not introduce any dipole or multipole approximation.Comment: Latex, 11 page

An Analysis of Employee Print Media Content

This content analysis studies an area that has had limited research: university print media. University print media helps maintain communication between management and employees. Past research links three communication categories together: organizing, relationship and change. Organizing is found to be the dominant content category in business newsletters, according to past research. The uses and gratifications theory, exchange theory and structural-functional theory all play an integral part in the communication process. Continuous two-way comunication between management and each public can lead to a successful organization. Internal communication, wants vs. needs, and finding common ground are additional variables that determine the effect that employee print media will have on a given organization and the management/ employee relationship. Most of the research completed concerned specific content recommendations which incorporate a combination of the three communication functions. Emphasis of organizing, relationship and change in University employee print media is the first research question. Overall, relationship was found to be the dominant factor, followed by organizing and change. Only one university had a higher percentage for organizing rather than relationship. The second research question compares the totals and percentages against proposed content recommendations of past research. Relationship was found to have the highest percentage of column inches, followed by organizing and change. Many of the earlier mentioned specific content recommendations were found to be present in the University employee print media. One conclusion that is formed from this content analysis is that each organization is unique, therefore, there may not be a universal set standard for the three communication functions. Each organization will need to research ways to find the content that will best relate to their specific organization goals and relationships between management and employees

An Analysis of Employee Print Media Content

This content analysis studies an area that has had limited research: university print media. University print media helps maintain communication between management and employees. Past research links three communication categories together: organizing, relationship and change. Organizing is found to be the dominant content category in business newsletters, according to past research. The uses and gratifications theory, exchange theory and structural-functional theory all play an integral part in the communication process. Continuous two-way comunication between management and each public can lead to a successful organization. Internal communication, wants vs. needs, and finding common ground are additional variables that determine the effect that employee print media will have on a given organization and the management/ employee relationship. Most of the research completed concerned specific content recommendations which incorporate a combination of the three communication functions. Emphasis of organizing, relationship and change in University employee print media is the first research question. Overall, relationship was found to be the dominant factor, followed by organizing and change. Only one university had a higher percentage for organizing rather than relationship. The second research question compares the totals and percentages against proposed content recommendations of past research. Relationship was found to have the highest percentage of column inches, followed by organizing and change. Many of the earlier mentioned specific content recommendations were found to be present in the University employee print media. One conclusion that is formed from this content analysis is that each organization is unique, therefore, there may not be a universal set standard for the three communication functions. Each organization will need to research ways to find the content that will best relate to their specific organization goals and relationships between management and employees

Dynamical entropy of generalized quantum Markov chains on gauge invariant C∗C^*-algebras

We prove that the mean entropy and the dynamical entropy are equal for generalized quantum Markov chains on gauge-invariant $C^*$-algebras.Comment: 8 page

Interacting Fock spaces and Gaussianization of probability measures

We prove that any probability measure on $\mathbb R$, with moments of all orders, is the vacuum distribution, in an appropriate interacting Fock space, of the field operator plus (in the non symmetric case) a function of the number operator. A corollary of this is that all the momenta of such a measure are expressible in terms of the Jacobi parameters, associated to its orthogonal polynomials, by means of diagrams involving only non crossing pair partitions (and singletons, in the non symmetric case). This means that, with our construction, the combinatorics of the momenta of any probability measure (with all moments) is reduced to that of a generalized Gaussian. This phenomenon we call {\it Gaussianization}. Finally we define, in terms of the Jacobi parameters, a new convolution among probability measures which we call {\it universal} because any probability measure (with all moments) is infinitely divisible with respect to this convolution. All these results are extended to the case of many (in fact infinitely many) variables

On classical and quantum liftings

We analyze the procedure of lifting in classical stochastic and quantum systems. It enables one to `lift' a state of a system into a state of `system+reservoir'. This procedure is important both in quantum information theory and the theory of open systems. We illustrate the general theory of liftings by a particular class related to so called circulant states.Comment: 25 page

Quantum probability and the non-locality issue in quantum theory

Three computers, with local independent choices, genereate the EPR correlations hence violating Bell's inequality

A Note on noncommutative unique ergodicity and weighted means

In this paper we study unique ergodicity of C∗-dynamical system (A,T), consisting of a unital C∗-algebra A and a Markov operator T:A↦A, relative to its fixed point subspace, in terms of Riesz summation which is weaker than Cesaro one. Namely, it is proven that (A,T) is uniquely ergodic relative to its fixed point subspace if and only if its Riesz means... converge to ET(x) in A for any x∈A, as n→∞, here ET is an projection of A to the fixed point subspace of T. It is also constructed a uniquely ergodic entangled Markov operator relative to its fixed point subspace, which is not ergodic

Statistical analysis of random number generators

In many applications, for example cryptography and Monte Carlo simulation, there is need for random numbers. Any procedure, algorithm or device which is intended to produce such is called a random number generator (RNG). What makes a good RNG? This paper gives an overview on empirical testing of the statistical properties of the sequences produced by RNGs and special software packages designed for that purpose. We also present the results of applying a particular test suite---TestU01---to a family of RNGs currently being developed at the Centro Interdipartimentale Vito Volterra (CIVV), Roma, Italy