Filtering of Wide Sense Stationary Quantum Stochastic Processes

Details Filtering of Wide Sense Stationary Quantum Stochastic Processes Filtering of Wide Sense Stationary Quantum Stochastic Processes

2007-08-06

arxiv.org/abs/0708.0722v1

Doklady. Math., 70, N0. 1, 664-7, 2004

Physics

Mathematical Physics

6 pages, no figures

Scientific paper

We introduce a concept of a quantum wide sense stationary process taking
values in a C*-algebra and expected in a sub-algebra. The power spectrum of
such a process is defined, in analogy to classical theory, as a positive
measure on frequency space taking values in the expected algebra. The notion of
linear quantum filters is introduced as some simple examples mentioned.

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