dorsal/arxiv
View SchemaNoiseless Quantum Codes
| Authors | P. Zanardi, M. Rasetti |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9705044 |
| URL | https://arxiv.org/abs/quant-ph/9705044 |
| DOI | 10.1103/PhysRevLett.79.3306 |
| Journal | Phys.Rev.Lett.79:3306-3309,1997 |
Abstract
In this paper we study a model quantum register $\cal R$ made of $N$ replicas (cells) of a given finite-dimensional quantum system S. Assuming that all cells are coupled with a common environment with equal strength we show that, for $N$ large enough, in the Hilbert space of $\cal R$ there exists a linear subspace ${\cal C}_N$ which is dynamically decoupled from the environment. The states in ${\cal C}_N$ evolve unitarily and are therefore decoherence-dissipation free. The space ${\cal C}_N$ realizes a noiseless quantum code in which information can be stored, in principle, for arbitrarily long time without being affected by errors.
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"abstract": "In this paper we study a model quantum register $\\cal R$ made of $N$ replicas\n(cells) of a given finite-dimensional quantum system S. Assuming that all cells\nare coupled with a common environment with equal strength we show that, for $N$\nlarge enough, in the Hilbert space of $\\cal R$ there exists a linear subspace\n${\\cal C}_N$ which is dynamically decoupled from the environment. The states in\n${\\cal C}_N$ evolve unitarily and are therefore decoherence-dissipation free.\nThe space ${\\cal C}_N$ realizes a noiseless quantum code in which information\ncan be stored, in principle, for arbitrarily long time without being affected\nby errors.",
"arxiv_id": "quant-ph/9705044",
"authors": [
"P. Zanardi",
"M. Rasetti"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.79.3306",
"journal_ref": "Phys.Rev.Lett.79:3306-3309,1997",
"title": "Noiseless Quantum Codes",
"url": "https://arxiv.org/abs/quant-ph/9705044"
},
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