Control-Induced Decoherence-Free Manifolds

Details Control-Induced Decoherence-Free Manifolds Control-Induced Decoherence-Free Manifolds

2010-02-08

arxiv.org/abs/1002.1515v2

Physics

Quantum Physics

Invited paper for quantum control session at ISCCSP 2010 Cyprus. 6 pages

Scientific paper

Quantum coherence of open quantum systems is usually compromised because of the interaction with the ambient environment. A "decoherence-free subspace" (DFS) of the system Hilbert space is defined where the evolution remains unitary. In the absence of a priori existence of such subspaces, it seems natural that utilizing quantum control may help generate and/or retain a DFS. Here, we introduce a time-varying DFS wherein the system's density matrix has a unitarily evolving sub-density corresponding to some given set of its eigenvalues (which we aim to preserve). This subspace is characterized from both topological and algebraic perspectives. In particular, we show that this DFS admits a complex vector bundle structure over a real-analytic manifold (the decoherence-free manifold).

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