dorsal/arxiv
View SchemaCloning a real d-dimensional quantum state on the edge of the no-signaling condition
| Authors | Patrick Navez, Nicolas J. Cerf |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302172 |
| URL | https://arxiv.org/abs/quant-ph/0302172 |
| DOI | 10.1103/PhysRevA.68.032313 |
| Journal | Phys. Rev. A 68, 032313 (2003). |
Abstract
We investigate a new class of quantum cloning machines that equally duplicate all real states in a Hilbert space of arbitrary dimension. By using the no-signaling condition, namely that cloning cannot make superluminal communication possible, we derive an upper bound on the fidelity of this class of quantum cloning machines. Then, for each dimension d, we construct an optimal symmetric cloner whose fidelity saturates this bound. Similar calculations can also be performed in order to recover the fidelity of the optimal universal cloner in d dimensions.
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"abstract": "We investigate a new class of quantum cloning machines that equally duplicate\nall real states in a Hilbert space of arbitrary dimension. By using the\nno-signaling condition, namely that cloning cannot make superluminal\ncommunication possible, we derive an upper bound on the fidelity of this class\nof quantum cloning machines. Then, for each dimension d, we construct an\noptimal symmetric cloner whose fidelity saturates this bound. Similar\ncalculations can also be performed in order to recover the fidelity of the\noptimal universal cloner in d dimensions.",
"arxiv_id": "quant-ph/0302172",
"authors": [
"Patrick Navez",
"Nicolas J. Cerf"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.032313",
"journal_ref": "Phys. Rev. A 68, 032313 (2003).",
"title": "Cloning a real d-dimensional quantum state on the edge of the no-signaling condition",
"url": "https://arxiv.org/abs/quant-ph/0302172"
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