dorsal/arxiv
View SchemaNonlocal resources in the presence of Superselection Rules
| Authors | N. Schuch, F. Verstraete, J. I. Cirac |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310124 |
| URL | https://arxiv.org/abs/quant-ph/0310124 |
| DOI | 10.1103/PhysRevLett.92.087904 |
| Journal | Phys. Rev. Lett. 92, 087904 (2004) |
Abstract
Superselection rules severely alter the possible operations that can be implemented on a distributed quantum system. Whereas the restriction to local operations imposed by a bipartite setting gives rise to the notion of entanglement as a nonlocal resource, the superselection rule associated with particle number conservation leads to a new resource, the \emph{superselection induced variance} of local particle number. We show that, in the case of pure quantum states, one can quantify the nonlocal properties by only two additive measures, and that all states with the same measures can be asymptotically interconverted into each other by local operations and classical communication. Furthermore we discuss how superselection rules affect the concepts of majorization, teleportation and mixed state entanglement.
{
"annotation_id": "63be3e7d-90ee-4d4b-9357-4d1d8de1dd85",
"date_created": "2026-03-02T18:02:03.346000Z",
"date_modified": "2026-03-02T18:02:03.346000Z",
"file_hash": "26e61bf05e47e4e384430913c432a7b2bfa47e7a6035380f7b6cb9074332f76c",
"private": false,
"record": {
"abstract": "Superselection rules severely alter the possible operations that can be\nimplemented on a distributed quantum system. Whereas the restriction to local\noperations imposed by a bipartite setting gives rise to the notion of\nentanglement as a nonlocal resource, the superselection rule associated with\nparticle number conservation leads to a new resource, the \\emph{superselection\ninduced variance} of local particle number. We show that, in the case of pure\nquantum states, one can quantify the nonlocal properties by only two additive\nmeasures, and that all states with the same measures can be asymptotically\ninterconverted into each other by local operations and classical communication.\nFurthermore we discuss how superselection rules affect the concepts of\nmajorization, teleportation and mixed state entanglement.",
"arxiv_id": "quant-ph/0310124",
"authors": [
"N. Schuch",
"F. Verstraete",
"J. I. Cirac"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.92.087904",
"journal_ref": "Phys. Rev. Lett. 92, 087904 (2004)",
"title": "Nonlocal resources in the presence of Superselection Rules",
"url": "https://arxiv.org/abs/quant-ph/0310124"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d49236ae-7507-4c17-b102-ca367746d1f5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}