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Книга Markov property in non-commutative probability József Pitrik

Markov property in non-commutative probability

Автор: József Pitrik
Език: Английски език
Корици: С меки корици
Издател: LAP Lambert Academic Publishing
Наличност: Външен склад
Изпращаме след 5-8 дни
45.75 € 89.47 лв
On a non-commutative or quantum probability space the Markov property is based on a completely posit...

Информация за книгата

Автор
József Pitrik
Език
Английски език
Корици
Книга - С меки корици
Издадена
2013
страници
108
EAN
9783659358920
ISBN
3659358924
Enbook ID
12628182
Издател
LAP Lambert Academic Publishing
Теглоt
177
Размери
150 x 220 x 6

Пълно описание

On a non-commutative or quantum probability space the Markov property is based on a completely positive, identity preserving map, so-called quasi-conditional expectation and a state which is left invariant by it. A state of a three-fold tensor product system is Markovian if and only if we have got equality in the strong subadditivity (SSA) of von Neumann entropy. We show that the equality case in the SSA is equivalent with the Markov property also for the so-called CAR algebras that serves as the description of fermion lattice systems. We give a characterization of Markovian quasi-free (Gaussian) states on CAR algebras. We also investigated the Markov property on CCR algebras which is related to the bosonic systems and the characterization of quasi-free Markov states is given. Several entropy related quantities associated with Markov property is also described.

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