dorsal/arxiv
View SchemaAsymmetric phase-covariant d-dimensional cloning
| Authors | L. -P. Lamoureux, N. J. Cerf |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410054 |
| URL | https://arxiv.org/abs/quant-ph/0410054 |
| Journal | Quantum Information and Computation - Vol. 5, No. 1 (2005) 032-039 |
Abstract
We consider cloning transformations of d-dimensional states of the form e^{i\phi_0}|0> + e^{i\phi_1}|1> +...+ e^{i\phi_{d-1}}|d-1> that are covariant with respect to rotations of the phases \phi_i's. The optimal cloning maps are easily obtained using a well-defined general characterization of state-dependent 1 -> 2 cloning transformations in arbitrary dimensions. Our results apply to symmetric as well as asymmetric cloners, so that the balance between the fidelity of the two clones can be analyzed.
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"abstract": "We consider cloning transformations of d-dimensional states of the form\ne^{i\\phi_0}|0\u003e + e^{i\\phi_1}|1\u003e +...+ e^{i\\phi_{d-1}}|d-1\u003e that are covariant\nwith respect to rotations of the phases \\phi_i\u0027s. The optimal cloning maps are\neasily obtained using a well-defined general characterization of\nstate-dependent 1 -\u003e 2 cloning transformations in arbitrary dimensions. Our\nresults apply to symmetric as well as asymmetric cloners, so that the balance\nbetween the fidelity of the two clones can be analyzed.",
"arxiv_id": "quant-ph/0410054",
"authors": [
"L. -P. Lamoureux",
"N. J. Cerf"
],
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"journal_ref": "Quantum Information and Computation - Vol. 5, No. 1 (2005) 032-039",
"title": "Asymmetric phase-covariant d-dimensional cloning",
"url": "https://arxiv.org/abs/quant-ph/0410054"
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