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From Dirac to Diffusion: Decoherence in Quantum Lattice Gases.
- Source :
- Quantum Information Processing; Oct2005, Vol. 4 Issue 4, p335-354, 20p, 1 Black and White Photograph, 1 Graph
- Publication Year :
- 2005
-
Abstract
- We describe a model for the interaction of the internal (spin) degree of freedom of a quantum lattice-gas particle with an environmental bath. We impose the constraints that the particle-bath interaction be fixed, while the state of the bath is random, and that the effect of the particle-bath interaction be parity invariant. The condition of parity invariance defines a subgroup of the unitary group of actions on the spin degree of freedom and the bath. We derive a general constraint on the Lie algebra of the unitary group which defines this subgroup, and hence guarantees parity invariance of the particle-bath interaction. We show that generalizing the quantum lattice gas in this way produces a model having both classical and quantum discrete random walks as different limits. We present preliminary simulation results illustrating the intermediate behavior in the presence of weak quantum noise [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15700755
- Volume :
- 4
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Quantum Information Processing
- Publication Type :
- Academic Journal
- Accession number :
- 18441913
- Full Text :
- https://doi.org/10.1007/s11128-005-7852-4