dorsal/arxiv
View SchemaQuantum entanglement theory in the presence of superselection rules
| Authors | Norbert Schuch, Frank Verstraete, J. Ignacio Cirac |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404079 |
| URL | https://arxiv.org/abs/quant-ph/0404079 |
| DOI | 10.1103/PhysRevA.70.042310 |
| Journal | Phys. Rev. A 70, 042310 (2004) |
Abstract
Superselection rules severly constrain the operations which can be implemented on a distributed quantum system. While the restriction to local operations and classical communication gives rise to entanglement as a nonlocal resource, particle number conservation additionally confines the possible operations and should give rise to a new resource. In [Phys. Rev. Lett. 92, 087904 (2004), quant-ph/0310124] we showed that this resource can be quantified by a single additional number, the superselection induced variance (SiV) without changing the concept of entanglement. In this paper, we give the results on pure states in greater detail; additionally, we provide a discussion of mixed state nonlocality with superselection rules where we consider both formation and distillation. Finally, we demonstrate that SiV is indeed a resource, i.e., that it captures how well a state can be used to overcome the restrictions imposed by the superselection rule.
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"abstract": "Superselection rules severly constrain the operations which can be\nimplemented on a distributed quantum system. While the restriction to local\noperations and classical communication gives rise to entanglement as a nonlocal\nresource, particle number conservation additionally confines the possible\noperations and should give rise to a new resource. In [Phys. Rev. Lett. 92,\n087904 (2004), quant-ph/0310124] we showed that this resource can be quantified\nby a single additional number, the superselection induced variance (SiV)\nwithout changing the concept of entanglement. In this paper, we give the\nresults on pure states in greater detail; additionally, we provide a discussion\nof mixed state nonlocality with superselection rules where we consider both\nformation and distillation. Finally, we demonstrate that SiV is indeed a\nresource, i.e., that it captures how well a state can be used to overcome the\nrestrictions imposed by the superselection rule.",
"arxiv_id": "quant-ph/0404079",
"authors": [
"Norbert Schuch",
"Frank Verstraete",
"J. Ignacio Cirac"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.042310",
"journal_ref": "Phys. Rev. A 70, 042310 (2004)",
"title": "Quantum entanglement theory in the presence of superselection rules",
"url": "https://arxiv.org/abs/quant-ph/0404079"
},
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