dorsal/arxiv
View SchemaSequential Quantum Cloning
| Authors | Y. Delgado, L. Lamata, J. Leon, D. Salgado, E. Solano |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607105 |
| URL | https://arxiv.org/abs/quant-ph/0607105 |
| DOI | 10.1103/PhysRevLett.98.150502 |
| Journal | Phys. Rev. Lett. 98, 150502 (2007). |
Abstract
Not all unitary operations upon a set of qubits can be implemented by sequential interactions between each qubit and an ancillary system. We analyze the specific case of sequential quantum cloning 1->M and prove that the minimal dimension D of the ancilla grows linearly with the number of clones M. In particular, we obtain D = 2M for symmetric universal quantum cloning and D = M+1 for symmetric phase-covariant cloning. Furthermore, we provide a recipe for the required ancilla-qubit interactions in each step of the sequential procedure for both cases.
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"abstract": "Not all unitary operations upon a set of qubits can be implemented by\nsequential interactions between each qubit and an ancillary system. We analyze\nthe specific case of sequential quantum cloning 1-\u003eM and prove that the minimal\ndimension D of the ancilla grows linearly with the number of clones M. In\nparticular, we obtain D = 2M for symmetric universal quantum cloning and D =\nM+1 for symmetric phase-covariant cloning. Furthermore, we provide a recipe for\nthe required ancilla-qubit interactions in each step of the sequential\nprocedure for both cases.",
"arxiv_id": "quant-ph/0607105",
"authors": [
"Y. Delgado",
"L. Lamata",
"J. Leon",
"D. Salgado",
"E. Solano"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.98.150502",
"journal_ref": "Phys. Rev. Lett. 98, 150502 (2007).",
"title": "Sequential Quantum Cloning",
"url": "https://arxiv.org/abs/quant-ph/0607105"
},
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