dorsal/arxiv
View SchemaCorrespondence between continuous variable and discrete quantum systems of arbitrary dimensions
| Authors | Caslav Brukner, Myungshik S. Kim, Jian-Wei Pan, Anton Zeilinger |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208116 |
| URL | https://arxiv.org/abs/quant-ph/0208116 |
| DOI | 10.1103/PhysRevA.68.062105 |
| Journal | Phys. Rev. A. 68, 062105 (2003) |
Abstract
We establish a mapping between a continuous variable (CV) quantum system and a discrete quantum system of arbitrary dimension. This opens up the general possibility to perform any quantum information task with a CV system as if it were a discrete system of arbitrary dimension. The Einstein-Podolsky-Rosen state is mapped onto the maximally entangled state in any finite dimensional Hilbert space and thus can be considered as a universal resource of entanglement. As an explicit example of the formalism a two-mode CV entangled state is mapped onto a two-qutrit entangled state.
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"abstract": "We establish a mapping between a continuous variable (CV) quantum system and\na discrete quantum system of arbitrary dimension. This opens up the general\npossibility to perform any quantum information task with a CV system as if it\nwere a discrete system of arbitrary dimension. The Einstein-Podolsky-Rosen\nstate is mapped onto the maximally entangled state in any finite dimensional\nHilbert space and thus can be considered as a universal resource of\nentanglement. As an explicit example of the formalism a two-mode CV entangled\nstate is mapped onto a two-qutrit entangled state.",
"arxiv_id": "quant-ph/0208116",
"authors": [
"Caslav Brukner",
"Myungshik S. Kim",
"Jian-Wei Pan",
"Anton Zeilinger"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.062105",
"journal_ref": "Phys. Rev. A. 68, 062105 (2003)",
"title": "Correspondence between continuous variable and discrete quantum systems of arbitrary dimensions",
"url": "https://arxiv.org/abs/quant-ph/0208116"
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