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The passage from random walk to diffusion in quantum probability

Published online by Cambridge University Press:  14 July 2016

K. R. Parthasarathy
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Abstract

The notion of a quantum random walk in discrete time is formulated and the passage to a continuous time diffusion limit is established. The limiting diffusion is described in terms of solutions of certain quantum stochastic differential equations.

Keywords

QUANTUM RANDOM WALKTOY COHERENT VECTORCOHERENT VECTORWEYL OPERATORCREATIONGAUGE AND ANNIHILATION PROCESSESQUANTUM STOCHASTIC DIFFERENTIAL EQUATIONQUANTUM DIFFUSIONQUANTUM MARKOV SEMIGROUPBOSON FOCK SPACE
Type
Part 4 - Applied Probability and Quantum Theory
Information
Journal of Applied Probability , Volume 25 , Issue A , 1988 , pp. 151 - 166
Copyright
Copyright © Applied Probability Trust 1988 

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References

References

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Reference added in proof

[10] Lindsay, J. M. and Parthasarathy, K. R. (1988) The passage from random walk to diffusion in quantum probability. Sankhya. To appear.Google Scholar