dorsal/arxiv
View SchemaDecoherence Free Subspaces for Quantum Computation
| Authors | D. A. Lidar, I. L. Chuang, K. B. Whaley |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9807004 |
| URL | https://arxiv.org/abs/quant-ph/9807004 |
| DOI | 10.1103/PhysRevLett.81.2594 |
| Journal | Phys.Rev.Lett.81:2594,1998 |
Abstract
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.
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"abstract": "Decoherence in quantum computers is formulated within the Semigroup approach.\nThe error generators are identified with the generators of a Lie algebra. This\nallows for a comprehensive description which includes as a special case the\nfrequently assumed spin-boson model. A generic condition is presented for\nerror-less quantum computation: decoherence-free subspaces are spanned by those\nstates which are annihilated by all the generators. It is shown that these\nsubspaces are stable to perturbations and moreover, that universal quantum\ncomputation is possible within them.",
"arxiv_id": "quant-ph/9807004",
"authors": [
"D. A. Lidar",
"I. L. Chuang",
"K. B. Whaley"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1103/PhysRevLett.81.2594",
"journal_ref": "Phys.Rev.Lett.81:2594,1998",
"title": "Decoherence Free Subspaces for Quantum Computation",
"url": "https://arxiv.org/abs/quant-ph/9807004"
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