Abstract
The theory of quasifree quantum stochastic calculus for infinite-dimensional noise is developed within the framework of Hudson-Parthasarathy quantum stochastic calculus. The question of uniqueness for the covariance amplitude with respect to which a given unitary quantum stochastic cocycle is quasifree is addressed, and related to the minimality of the corresponding stochastic dilation. The theory is applied to the identification of a wide class of quantum random walks whose limit processes are driven by quasifree noises.
Original language | English |
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Pages (from-to) | 1-39 |
Number of pages | 39 |
Journal | Journal of Statistical Physics |
Volume | 176 |
Issue number | 1 |
Early online date | 2 May 2019 |
DOIs | |
Publication status | Published - Jul 2019 |
Keywords
- Quantum stochastic calculus
- quasifree representation
- heat bath
- repeated quantum interactions
- toy Fock space
- noncommutative Markov chain
- quantum stochastic dilation
- quantum dynamical semigroup
- quantum Langevin equation