dorsal/arxiv
View SchemaOptimal Cloning of Pure States, Judging Single Clones
| Authors | M. Keyl, R. F. Werner |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9807010 |
| URL | https://arxiv.org/abs/quant-ph/9807010 |
| DOI | 10.1063/1.532887 |
| Journal | J.Math.Phys. 40 (1999) 3283-3299 |
Abstract
We consider quantum devices for turning a finite number N of d-level quantum systems in the same unknown pure state \sigma into M>N systems of the same kind, in an approximation of the M-fold tensor product of the state \sigma. In a previous paper it was shown that this problem has a unique optimal solution, when the quality of the output is judged by arbitrary measurements, involving also the correlations between the clones. We show in this paper, that if the quality judgement is based solely on measurements of single output clones, there is again a unique optimal cloning device, which coincides with the one found previously.
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"abstract": "We consider quantum devices for turning a finite number N of d-level quantum\nsystems in the same unknown pure state \\sigma into M\u003eN systems of the same\nkind, in an approximation of the M-fold tensor product of the state \\sigma. In\na previous paper it was shown that this problem has a unique optimal solution,\nwhen the quality of the output is judged by arbitrary measurements, involving\nalso the correlations between the clones. We show in this paper, that if the\nquality judgement is based solely on measurements of single output clones,\nthere is again a unique optimal cloning device, which coincides with the one\nfound previously.",
"arxiv_id": "quant-ph/9807010",
"authors": [
"M. Keyl",
"R. F. Werner"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.532887",
"journal_ref": "J.Math.Phys. 40 (1999) 3283-3299",
"title": "Optimal Cloning of Pure States, Judging Single Clones",
"url": "https://arxiv.org/abs/quant-ph/9807010"
},
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