dorsal/arxiv
View SchemaSymmetrizing Evolutions
| Authors | Paolo Zanardi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9809064 |
| URL | https://arxiv.org/abs/quant-ph/9809064 |
| DOI | 10.1016/S0375-9601(99)00365-5 |
| Journal | Phys.Lett. A258 (1999) 77 |
Abstract
We introduce quantum procedures for making $\cal G$-invariant the dynamics of an arbitrary quantum system S, where $\cal G$ is a finite group acting on the space state of S. Several applications of this idea are discussed. In particular when S is a N-qubit quantum computer interacting with its environment and $\cal G$ the symmetric group of qubit permutations, the resulting effective dynamics admits noiseless subspaces. Moreover it is shown that the recently introduced iterated-pulses schemes for reducing decoherence in quantum computers fit in this general framework. The noise-inducing component of the Hamiltonian is filtered out by the symmetrization procedure just due to its transformation properties.
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"abstract": "We introduce quantum procedures for making $\\cal G$-invariant the dynamics of\nan arbitrary quantum system S, where $\\cal G$ is a finite group acting on the\nspace state of S. Several applications of this idea are discussed. In\nparticular when S is a N-qubit quantum computer interacting with its\nenvironment and $\\cal G$ the symmetric group of qubit permutations, the\nresulting effective dynamics admits noiseless subspaces. Moreover it is shown\nthat the recently introduced iterated-pulses schemes for reducing decoherence\nin quantum computers fit in this general framework. The noise-inducing\ncomponent of the Hamiltonian is filtered out by the symmetrization procedure\njust due to its transformation properties.",
"arxiv_id": "quant-ph/9809064",
"authors": [
"Paolo Zanardi"
],
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"quant-ph"
],
"doi": "10.1016/S0375-9601(99)00365-5",
"journal_ref": "Phys.Lett. A258 (1999) 77",
"title": "Symmetrizing Evolutions",
"url": "https://arxiv.org/abs/quant-ph/9809064"
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