Modeling Decoherence and Decoherence-Free Subspaces in Complex Environments

Details Modeling Decoherence and Decoherence-Free Subspaces in Complex Environments Modeling Decoherence and Decoherence-Free Subspaces in Complex Environments

2002-11-30

arxiv.org/abs/quant-ph/0212003v1

Physics

Quantum Physics

22 pages, 18 figures

Scientific paper

A simplified Bogoliubov transform reduces a fully-interacting many-fermion spin-1/2 system-plus-environment to a more tractable many-to-one variant. The transform additionally yields exact solutions for bosonic multi-particle interactions sans the approximation introduced by using discrete time steps to deal with quantum parallelism. The decohering effect of relatively general finite environments is therewith modeled and compared to the decohering effect of an infinite environmental "bath." The anti-symmetric singlet state formed by two maximally-entangled two-state particles is shown to be inherently decoherence-free. As a quantum bit ("qubit") it is thus potentially superior to any single-particle state.

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