dorsal/arxiv
View SchemaDecoherence-Free Subspaces for Multiple-Qubit Errors: (I) Characterization
| Authors | Daniel A. Lidar, Dave Bacon, Julia Kempe, K. B. Whaley |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9908064 |
| URL | https://arxiv.org/abs/quant-ph/9908064 |
| DOI | 10.1103/PhysRevA.63.022306 |
| Journal | Phys. Rev. A 63, 022306 (2001) |
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.
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"abstract": "Coherence in an open quantum system is degraded through its interaction with\na bath. This decoherence can be avoided by restricting the dynamics of the\nsystem to special decoherence-free subspaces. These subspaces are usually\nconstructed under the assumption of spatially symmetric system-bath coupling.\nHere we show that decoherence-free subspaces may appear without spatial\nsymmetry. Instead, we consider a model of system-bath interactions in which to\nfirst order only multiple-qubit coupling to the bath is present, with\nsingle-qubit system-bath coupling absent. We derive necessary and sufficient\nconditions for the appearance of decoherence-free states in this model, and\ngive a number of examples. In a sequel paper we show how to perform universal\nand fault tolerant quantum computation on the decoherence-free subspaces\nconsidered in this paper.",
"arxiv_id": "quant-ph/9908064",
"authors": [
"Daniel A. Lidar",
"Dave Bacon",
"Julia Kempe",
"K. B. Whaley"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.63.022306",
"journal_ref": "Phys. Rev. A 63, 022306 (2001)",
"title": "Decoherence-Free Subspaces for Multiple-Qubit Errors: (I) Characterization",
"url": "https://arxiv.org/abs/quant-ph/9908064"
},
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