dorsal/arxiv
View SchemaOn quantum non-signalling boxes
| Authors | M. Piani, M. Horodecki, P. Horodecki, R. Horodecki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505110 |
| URL | https://arxiv.org/abs/quant-ph/0505110 |
| DOI | 10.1103/PhysRevA.74.012305 |
| Journal | Phys. Rev. A 74, 012305 (2006) |
Abstract
A classical non-signalling (or causal) box is an operation on classical bipartite input with classical bipartite output such that no signal can be sent from a party to the other through the use of the box. The quantum counterpart of such boxes, i.e. completely positive trace-preserving maps on bipartite states, though studied in literature, have been investigated less intensively than classical boxes. We present here some results and remarks about such maps. In particular, we analyze: the relations among properties as causality, non-locality and entanglement; the connection between causal and entanglement breaking maps; the characterization of causal maps in terms of the classification of states with fixed reductions. We also provide new proofs of the fact that every non-product unitary transformation is not causal, as well as for the equivalence of the so-called semicausality and semilocalizability properties.
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"abstract": "A classical non-signalling (or causal) box is an operation on classical\nbipartite input with classical bipartite output such that no signal can be sent\nfrom a party to the other through the use of the box. The quantum counterpart\nof such boxes, i.e. completely positive trace-preserving maps on bipartite\nstates, though studied in literature, have been investigated less intensively\nthan classical boxes. We present here some results and remarks about such maps.\nIn particular, we analyze: the relations among properties as causality,\nnon-locality and entanglement; the connection between causal and entanglement\nbreaking maps; the characterization of causal maps in terms of the\nclassification of states with fixed reductions. We also provide new proofs of\nthe fact that every non-product unitary transformation is not causal, as well\nas for the equivalence of the so-called semicausality and semilocalizability\nproperties.",
"arxiv_id": "quant-ph/0505110",
"authors": [
"M. Piani",
"M. Horodecki",
"P. Horodecki",
"R. Horodecki"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.012305",
"journal_ref": "Phys. Rev. A 74, 012305 (2006)",
"title": "On quantum non-signalling boxes",
"url": "https://arxiv.org/abs/quant-ph/0505110"
},
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