Theory of Initialization-Free Decoherence-Free Subspaces and Subsystems

Details Theory of Initialization-Free Decoherence-Free Subspaces and Subsystems Theory of Initialization-Free Decoherence-Free Subspaces and Subsystems

2005-05-09

arxiv.org/abs/quant-ph/0505051v1

Phys. Rev. A 72, 042303 (2005)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.72.042303

We introduce a generalized theory of decoherence-free subspaces and subsystems (DFSs), which do not require accurate initialization. We derive a new set of conditions for the existence of DFSs within this generalized framework. By relaxing the initialization requirement we show that a DFS can tolerate arbitrarily large preparation errors. This has potentially significant implications for experiments involving DFSs, in particular for the experimental implementation, over DFSs, of the large class of quantum algorithms which can function with arbitrary input states.

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