dorsal/arxiv
View SchemaAdapted-operator representations: Selective versus collective properties of quantum networks
| Authors | Alexander Otte, Guenter Mahler |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0101138 |
| URL | https://arxiv.org/abs/quant-ph/0101138 |
| DOI | 10.1103/PhysRevA.62.012303 |
| Journal | Phys. Rev. A 62, 012303 (2000) |
Abstract
Based on local unitary operators acting on a n-dimensional Hilbert-space, we investigate selective and collective operator basis sets for N-particle quantum networks. Selective cluster operators are used to derive the properties of general cat-states for any n and N. Collective operators are conveniently used to account for permutation symmetry: The respective Hilbert-space dimension is then only polynomial in N and governed by strong selection rules. These selection rules can be exploited for the design of decoherence-free subspaces as well as for the implementation of efficient routes to entanglement if suspended switching between states of different symmetry classes could be realized.
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"abstract": "Based on local unitary operators acting on a n-dimensional Hilbert-space, we\ninvestigate selective and collective operator basis sets for N-particle quantum\nnetworks. Selective cluster operators are used to derive the properties of\ngeneral cat-states for any n and N. Collective operators are conveniently used\nto account for permutation symmetry: The respective Hilbert-space dimension is\nthen only polynomial in N and governed by strong selection rules. These\nselection rules can be exploited for the design of decoherence-free subspaces\nas well as for the implementation of efficient routes to entanglement if\nsuspended switching between states of different symmetry classes could be\nrealized.",
"arxiv_id": "quant-ph/0101138",
"authors": [
"Alexander Otte",
"Guenter Mahler"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.62.012303",
"journal_ref": "Phys. Rev. A 62, 012303 (2000)",
"title": "Adapted-operator representations: Selective versus collective properties of quantum networks",
"url": "https://arxiv.org/abs/quant-ph/0101138"
},
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