dorsal/arxiv
View SchemaOptimal estimation of quantum dynamics
| Authors | A. Acin, E. Jane, G. Vidal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0012015 |
| URL | https://arxiv.org/abs/quant-ph/0012015 |
| DOI | 10.1103/PhysRevA.64.050302 |
| Journal | Phys. Rev. A 64, 050302(R) (2001). |
Abstract
We construct the optimal strategy for the estimation of an unknown unitary transformation $U\in SU(d)$. This includes, in addition to a convenient measurement on a probe system, finding which is the best initial state on which $U$ is to act. When $U\in SU(2)$, such an optimal strategy can be applied to estimate simultaneously both the direction and the strength of a magnetic field, and shows how to use a spin 1/2 particle to transmit information about a whole coordinate system instead of only a direction in space.
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"abstract": "We construct the optimal strategy for the estimation of an unknown unitary\ntransformation $U\\in SU(d)$. This includes, in addition to a convenient\nmeasurement on a probe system, finding which is the best initial state on which\n$U$ is to act. When $U\\in SU(2)$, such an optimal strategy can be applied to\nestimate simultaneously both the direction and the strength of a magnetic\nfield, and shows how to use a spin 1/2 particle to transmit information about a\nwhole coordinate system instead of only a direction in space.",
"arxiv_id": "quant-ph/0012015",
"authors": [
"A. Acin",
"E. Jane",
"G. Vidal"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.64.050302",
"journal_ref": "Phys. Rev. A 64, 050302(R) (2001).",
"title": "Optimal estimation of quantum dynamics",
"url": "https://arxiv.org/abs/quant-ph/0012015"
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