Filtering of Wide Sense Stationary Quantum Stochastic Processes

John Gough

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arXiv · 0708.0722

Filtering of Wide Sense Stationary Quantum Stochastic Processes

John Gough

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Abstract

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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John Gough. 2007-08-06. Filtering of Wide Sense Stationary Quantum Stochastic Processes. https://arxiv.org/abs/0708.0722

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