From Dirac to Diffusion: Decoherence in Quantum Lattice Gases

P. J. Love, B. M. Boghosian · 2005 · Quantum Information Processing 4, 335–354（DOI 10.1007/s11128-005-7852-4）

| 编号 QC052 | 主题 量子格子玻尔兹曼 | 链接 arXiv:quant-ph/0507022 |

摘要

摘要保留原文（英文）

摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。

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 particlebath 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.

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