CLASSICAL MARKOV PROCESSES FROM QUANTUM LÉVY PROCESSES
نویسندگان
چکیده
منابع مشابه
Classical Markov Processes from Quantum L
We show how classical Markov processes can be obtained from quantum L evy processes. It is shown that quantum L evy processes are quantum Markov processes, and suucient conditions for restrictions to subalgebras to remain quantum Markov processes are given. A classical Markov process (which has the same time-ordered moments as the quantum process in the vacuum state) exists whenever we can rest...
متن کاملMarkov Property of Monotone Lévy Processes
Monotone Lévy processes with additive increments are defined and studied. It is shown that these processes have natural Markov structure and their Markov transition semigroups are characterized using the monotone Lévy-Khintchine formula. 17 Monotone Lévy processes turn out to be related to classical Lévy processes via Attal's " remarkable transformation. " A monotone analogue of the family of e...
متن کاملQuantum semi-Markov processes.
We construct a large class of non-Markovian master equations that describe the dynamics of open quantum systems featuring strong memory effects, which relies on a quantum generalization of the concept of classical semi-Markov processes. General conditions for the complete positivity of the corresponding quantum dynamical maps are formulated. The resulting non-Markovian quantum processes allow t...
متن کاملON THE INFINITE ORDER MARKOV PROCESSES
The notion of infinite order Markov process is introduced and the Markov property of the flow of information is established.
متن کاملBasics of Lévy Processes *
This is a draft Chapter from a book by the authors on “Lévy Driven Volatility Models”.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Infinite Dimensional Analysis, Quantum Probability and Related Topics
سال: 1999
ISSN: 0219-0257,1793-6306
DOI: 10.1142/s0219025799000060