Titlebook: Quantum Quadratic Operators and Processes; Farrukh Mukhamedov,Nasir Ganikhodjaev Book 2015 Springer International Publishing Switzerland 2

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Infinite-Dimensional Quadratic Operators, the notion of a Volterra quadratic operator and study its properties. Such operators have been studied by many authors (see for example (Ganikhodzhaev, Acad Sci Sb Math 76(2):489–506, 1993; Volterra, Association Franc. Lyon 1926:96–98, 1927)) in the finite-dimensional setting.

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0075-8434 totic behavior of the dynamical systems they generate.This i.Covering both classical and quantum approaches, this unique and self-contained book presents the most recent developments in the theory of quadratic stochastic operators and their Markov and related processes. The asymptotic behavior of dy

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Quantum Quadratic Stochastic Operators on ,, of such a description we provide an example of a positive q.q.s.o.?which is not a Kadison–Schwarz operator. Note that such a characterization is related to the separability condition, which plays an important role in quantum information. We also study the stability of the dynamics of quadratic operators associated with q.q.s.o.s.

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Quantum Quadratic Stochastic Operators,rator which is called a .. We also study the asymptotically stability of the dynamics of quadratic operators. Moreover, in this chapter we recall the definition of quantum Markov chains and establish that each q.q.s.o.?defines a quantum Markov chain.

聯(lián)想

Quadratic Stochastic Processes,ely determine a q.s.p. This allows us to construct a discrete q.s.p.?from a given q.s.o. Moreover, we provide other constructions of nontrivial examples of q.s.p.s. The weak ergodicity of q.s.p.s is also studied in terms of the marginal processes.

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Infinite-Dimensional Quadratic Operators, the notion of a Volterra quadratic operator and study its properties. Such operators have been studied by many authors (see for example (Ganikhodzhaev, Acad Sci Sb Math 76(2):489–506, 1993; Volterra, Association Franc. Lyon 1926:96–98, 1927)) in the finite-dimensional setting.

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Lecture Notes in Mathematicshttp://image.papertrans.cn/q/image/781437.jpg