dorsal/arxiv
View SchemaCertainty relations between local and nonlocal observables
| Authors | R. Garcia Diaz, J. L. Romero, G. Bjork, M. Bourennane |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0508145 |
| URL | https://arxiv.org/abs/quant-ph/0508145 |
| DOI | 10.1088/1367-2630/7/1/256 |
| Journal | New J. Opt., vol. 7, pp. 256, 2005 |
Abstract
We demonstrate that for an arbitrary number of identical particles, each defined on a Hilbert-space of arbitrary dimension, there exists a whole ladder of relations of complementarity between local, and every conceivable kind of joint (or nonlocal) measurements. E.g., the more accurate we can know (by a measurement) some joint property of three qubits (projecting the state onto a tripartite entangled state), the less accurate some other property, local to the three qubits, become. We also show that the corresponding complementarity relations are particularly tight for particles defined on prime dimensional Hilbert spaces.
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"abstract": "We demonstrate that for an arbitrary number of identical particles, each\ndefined on a Hilbert-space of arbitrary dimension, there exists a whole ladder\nof relations of complementarity between local, and every conceivable kind of\njoint (or nonlocal) measurements. E.g., the more accurate we can know (by a\nmeasurement) some joint property of three qubits (projecting the state onto a\ntripartite entangled state), the less accurate some other property, local to\nthe three qubits, become. We also show that the corresponding complementarity\nrelations are particularly tight for particles defined on prime dimensional\nHilbert spaces.",
"arxiv_id": "quant-ph/0508145",
"authors": [
"R. Garcia Diaz",
"J. L. Romero",
"G. Bjork",
"M. Bourennane"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1367-2630/7/1/256",
"journal_ref": "New J. Opt., vol. 7, pp. 256, 2005",
"title": "Certainty relations between local and nonlocal observables",
"url": "https://arxiv.org/abs/quant-ph/0508145"
},
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