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International Conference on Complex Systems (ICCS2006)

Computation in Finitary Quantum Processes

Karoline Wiesner
Computational Science & Engineering Ctr, University of C

James Crutchfield
Computational Science & Engineering Ctr, Physics, University of California, Davis

     Full text: Not available
     Last modified: March 20, 2006

Abstract
We introduce a formalism to investigate intrinsic computation in
quantum dynamical systems. The system's behavior is encoded in a
stochastic formal language and modeled by a quantum finite-state
machine, which gives an explicit representation of the system's structural
properties. We develop the mathematical foundations of quantum
finite-state machines, establishing probability conservation and consistency
with quantum mechanical laws. We connect them to the existing theory
of stochastic finite-state machines and explore their descriptive power
via several example processes. With these results in hand, we discuss
prospects for quantifying how quantum systems store and manipulate
information.




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