dorsal/arxiv
View SchemaQuantum information distributors: Quantum network for symmetric and asymmetric cloning in arbitrary dimension and continuous limit
| Authors | Samuel L. Braunstein, Vladimir Buzek, Mark Hillery |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0009076 |
| URL | https://arxiv.org/abs/quant-ph/0009076 |
| DOI | 10.1103/PhysRevA.63.052313 |
Abstract
We show that for any Hilbert-space dimension, the optimal universal quantum cloner can be constructed from essentially the same quantum circuit, i.e., we find a universal design for universal cloners. In the case of infinite dimensions (which includes continuous variable quantum systems) the universal cloner reduces to an essentially classical device. More generally, we construct a universal quantum circuit for distributing qudits in any dimension which acts covariantly under generalized displacements and momentum kicks. The behavior of this covariant distributor is controlled by its initial state. We show that suitable choices for this initial state yield both universal cloners and optimized cloners for limited alphabets of states whose states are related by generalized phase-space displacements.
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"abstract": "We show that for any Hilbert-space dimension, the optimal universal quantum\ncloner can be constructed from essentially the same quantum circuit, i.e., we\nfind a universal design for universal cloners. In the case of infinite\ndimensions (which includes continuous variable quantum systems) the universal\ncloner reduces to an essentially classical device. More generally, we construct\na universal quantum circuit for distributing qudits in any dimension which acts\ncovariantly under generalized displacements and momentum kicks. The behavior of\nthis covariant distributor is controlled by its initial state. We show that\nsuitable choices for this initial state yield both universal cloners and\noptimized cloners for limited alphabets of states whose states are related by\ngeneralized phase-space displacements.",
"arxiv_id": "quant-ph/0009076",
"authors": [
"Samuel L. Braunstein",
"Vladimir Buzek",
"Mark Hillery"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.63.052313",
"title": "Quantum information distributors: Quantum network for symmetric and asymmetric cloning in arbitrary dimension and continuous limit",
"url": "https://arxiv.org/abs/quant-ph/0009076"
},
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