dorsal/arxiv
View SchemaStatistical distinguishability between unitary operations
| Authors | A. Acin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0102064 |
| URL | https://arxiv.org/abs/quant-ph/0102064 |
| DOI | 10.1103/PhysRevLett.87.177901 |
| Journal | Phys. Rev. Lett 87, 177901 (2001). |
Abstract
The problem of distinguishing two unitary transformations, or quantum gates, is analyzed and a function reflecting their statistical distinguishability is found. Given two unitary operations, $U_1$ and $U_2$, it is proved that there always exists a finite number $N$ such that $U_1^{\otimes N}$ and $U_2^{\otimes N}$ are perfectly distinguishable, although they were not in the single-copy case. This result can be extended to any finite set of unitary transformations. Finally, a fidelity for one-qubit gates, which satisfies many useful properties from the point of view of quantum information theory, is presented.
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"abstract": "The problem of distinguishing two unitary transformations, or quantum gates,\nis analyzed and a function reflecting their statistical distinguishability is\nfound. Given two unitary operations, $U_1$ and $U_2$, it is proved that there\nalways exists a finite number $N$ such that $U_1^{\\otimes N}$ and $U_2^{\\otimes\nN}$ are perfectly distinguishable, although they were not in the single-copy\ncase. This result can be extended to any finite set of unitary transformations.\nFinally, a fidelity for one-qubit gates, which satisfies many useful properties\nfrom the point of view of quantum information theory, is presented.",
"arxiv_id": "quant-ph/0102064",
"authors": [
"A. Acin"
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"quant-ph"
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"doi": "10.1103/PhysRevLett.87.177901",
"journal_ref": "Phys. Rev. Lett 87, 177901 (2001).",
"title": "Statistical distinguishability between unitary operations",
"url": "https://arxiv.org/abs/quant-ph/0102064"
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