dorsal/arxiv
View SchemaGreenberger-Horne-Zeilinger argument of nonlocality without inequalities for mixed states
| Authors | GianCarlo Ghirardi, Luca Marinatto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603196 |
| URL | https://arxiv.org/abs/quant-ph/0603196 |
| DOI | 10.1103/PhysRevA.74.022101 |
| Journal | Physical Review A 74, 1 (2006) |
Abstract
We generalize the Greenberger-Horne-Zeilinger nonlocality without inequalities argument to cover the case of arbitrary mixed statistical operators associated to three-qubits quantum systems. More precisely, we determine the radius of a ball (in the trace distance topology) surrounding the pure GHZ state and containing arbitrary mixed statistical operators which cannot be described by any local and realistic hidden variable model and which are, as a consequence, noncompletely separable. As a practical application, we focus on certain one-parameter classes of mixed states which are commonly considered in the experimental realization of the original GHZ argument and which result from imperfect preparations of the pure GHZ state. In these cases we determine for which values of the parameter controlling the noise a nonlocality argument can still be exhibited, despite the mixedness of the considered states. Moreover, the effect of the imperfect nature of measurement processes is discussed.
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"abstract": "We generalize the Greenberger-Horne-Zeilinger nonlocality without\ninequalities argument to cover the case of arbitrary mixed statistical\noperators associated to three-qubits quantum systems. More precisely, we\ndetermine the radius of a ball (in the trace distance topology) surrounding the\npure GHZ state and containing arbitrary mixed statistical operators which\ncannot be described by any local and realistic hidden variable model and which\nare, as a consequence, noncompletely separable. As a practical application, we\nfocus on certain one-parameter classes of mixed states which are commonly\nconsidered in the experimental realization of the original GHZ argument and\nwhich result from imperfect preparations of the pure GHZ state. In these cases\nwe determine for which values of the parameter controlling the noise a\nnonlocality argument can still be exhibited, despite the mixedness of the\nconsidered states. Moreover, the effect of the imperfect nature of measurement\nprocesses is discussed.",
"arxiv_id": "quant-ph/0603196",
"authors": [
"GianCarlo Ghirardi",
"Luca Marinatto"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.022101",
"journal_ref": "Physical Review A 74, 1 (2006)",
"title": "Greenberger-Horne-Zeilinger argument of nonlocality without inequalities for mixed states",
"url": "https://arxiv.org/abs/quant-ph/0603196"
},
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