Multi-particle decoherence free subspaces in extended systems

Abstract

We develop a method to determine spatial configurations to realize decoherence-free subspaces for spatially extended multi-particle systems. We have assumed normal reservoir behavior including translational invariance of the reservoir and preparation in stationary states or mixture thereof and weak Markovian system-reservoir coupling that requires energy transfer. One important outcome of our method is a proof that there does not exist a multi-particle decoherence-free subspace in such systems except in the limit that the spatial extent of the system becomes infinitesimal.

12 pages, 2 figures

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• Superradiance as a Source of Collective Decoherence in Quantum Computers
• Decoherence-free quantum information in Markovian systems
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• Single Photon Superradiance and Subradiance as Collective Emission From Symmetric and Antisymmetric States
• Bipartite Entanglement of Deformed Coherent States