dorsal/arxiv
View SchemaEntanglement convertibility for infinite dimensional pure bipartite states
| Authors | Masaki Owari, Keiji Matsumoto, Mio Murao |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406141 |
| URL | https://arxiv.org/abs/quant-ph/0406141 |
| DOI | 10.1103/PhysRevA.70.050301 |
| Journal | Phys. Rev. A 70, 050301 (2004) |
Abstract
It is shown that the order property of pure bipartite states under SLOCC (stochastic local operations and classical communications) changes radically when dimensionality shifts from finite to infinite. In contrast to finite dimensional systems where there is no pure incomparable state, the existence of infinitely many mutually SLOCC incomparable states is shown for infinite dimensional systems even under the bounded energy and finite information exchange condition. These results show that the effect of the infinite dimensionality of Hilbert space, the ``infinite workspace'' property, remains even in physically relevant infinite dimensional systems.
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"abstract": "It is shown that the order property of pure bipartite states under SLOCC\n(stochastic local operations and classical communications) changes radically\nwhen dimensionality shifts from finite to infinite. In contrast to finite\ndimensional systems where there is no pure incomparable state, the existence of\ninfinitely many mutually SLOCC incomparable states is shown for infinite\ndimensional systems even under the bounded energy and finite information\nexchange condition. These results show that the effect of the infinite\ndimensionality of Hilbert space, the ``infinite workspace\u0027\u0027 property, remains\neven in physically relevant infinite dimensional systems.",
"arxiv_id": "quant-ph/0406141",
"authors": [
"Masaki Owari",
"Keiji Matsumoto",
"Mio Murao"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.050301",
"journal_ref": "Phys. Rev. A 70, 050301 (2004)",
"title": "Entanglement convertibility for infinite dimensional pure bipartite states",
"url": "https://arxiv.org/abs/quant-ph/0406141"
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