1998/07/28 by D. A. Lidar, I. L. Chuang, K. B. Whaley · 2 citations
Physics and Astronomy · Mathematics · #quant-ph #math-ph #math.MP
paper · pdf · doi:10.1103/physrevlett.81.2594
published as Phys.Rev.Lett.81:2594,1998 · 4 pages, no figures. Conditions for decoherence-free subspaces made more explicit, updated references. To appear in PRL
arxiv created 1998/07/28 · arxiv updated 2016/09/08
Decoherence in quantum computers is formulated within the Semigroup approach. The error generators are identified with the generators of a Lie algebra. This allows for a comprehensive description which includes as a special case the frequently assumed spin-boson model. A generic condition is presented for error-less quantum computation: decoherence-free subspaces are spanned by those states which are annihilated by all the generators. It is shown that these subspaces are stable to perturbations and moreover, that universal quantum computation is possible within them.