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Decoherence-Free Subspaces for Multiple-Qubit Errors: (I) Characterization | | Daniel A. Lidar
; Dave Bacon
; Julia Kempe
; K.B. Whaley
; | | Date: |
19 Aug 1999 | | Journal: | Phys. Rev. A 63, 022306 (2001) | | Subject: | quant-ph | | Affiliation: | UC Berkeley | | Abstract: | Coherence in an open quantum system is degraded through its interaction with a bath. This decoherence can be avoided by restricting the dynamics of the system to special decoherence-free subspaces. These subspaces are usually constructed under the assumption of spatially symmetric system-bath coupling. Here we show that decoherence-free subspaces may appear without spatial symmetry. Instead, we consider a model of system-bath interactions in which to first order only multiple-qubit coupling to the bath is present, with single-qubit system-bath coupling absent. We derive necessary and sufficient conditions for the appearance of decoherence-free states in this model, and give a number of examples. In a sequel paper we show how to perform universal and fault tolerant quantum computation on the decoherence-free subspaces considered in this paper. | | Source: | arXiv, quant-ph/9908064 | | Services: | Forum | Review | PDF | Favorites | |
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