dorsal/arxiv
View SchemaOptimality of programmable quantum measurements
| Authors | David Perez-Garcia |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602084 |
| URL | https://arxiv.org/abs/quant-ph/0602084 |
| DOI | 10.1103/PhysRevA.73.052315 |
| Journal | Phys. Rev. A 73, 052315 (2006) |
Abstract
We prove that for a programmable measurement device that approximates every POVM with an error $\le \delta$, the dimension of the program space has to grow at least polynomially with $\frac{1}{\delta}$. In the case of qubits we can improve the general result by showing a linear growth. This proves the optimality of the programmable measurement devices recently designed in [G. M. D'Ariano and P. Perinotti, Phys. Rev. Lett. \textbf{94}, 090401 (2005)].
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"abstract": "We prove that for a programmable measurement device that approximates every\nPOVM with an error $\\le \\delta$, the dimension of the program space has to grow\nat least polynomially with $\\frac{1}{\\delta}$. In the case of qubits we can\nimprove the general result by showing a linear growth. This proves the\noptimality of the programmable measurement devices recently designed in [G. M.\nD\u0027Ariano and P. Perinotti, Phys. Rev. Lett. \\textbf{94}, 090401 (2005)].",
"arxiv_id": "quant-ph/0602084",
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"David Perez-Garcia"
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"doi": "10.1103/PhysRevA.73.052315",
"journal_ref": "Phys. Rev. A 73, 052315 (2006)",
"title": "Optimality of programmable quantum measurements",
"url": "https://arxiv.org/abs/quant-ph/0602084"
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