Decoherence-Free Subspaces for Quantum Computation

@article{Lidar1998DecoherenceFreeSF,
  title={Decoherence-Free Subspaces for Quantum Computation},
  author={Daniel A. Lidar and Isaac L. Chuang and K. Birgitta Whaley},
  journal={Physical Review Letters},
  year={1998},
  volume={81},
  pages={2594-2597}
}
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 errorless 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… 
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