dorsal/arxiv
View SchemaRemote preparation of arbitrary ensembles and quantum bit commitment
| Authors | Hans Halvorson |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310001 |
| URL | https://arxiv.org/abs/quant-ph/0310001 |
| DOI | 10.1063/1.1812827 |
| Journal | J.Math.Phys. 45 (2004) 4920-4931 |
Abstract
The Hughston-Jozsa-Wootters theorem shows that any finite ensemble of quantum states can be prepared "at a distance", and it has been used to demonstrate the insecurity of all bit commitment protocols based on finite quantum systems without superselection rules. In this paper, we prove a generalized HJW theorem for arbitrary ensembles of states on a C*-algebra. We then use this result to demonstrate the insecurity of bit commitment protocols based on infinite quantum systems, and quantum systems with Abelian superselection rules.
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"abstract": "The Hughston-Jozsa-Wootters theorem shows that any finite ensemble of quantum\nstates can be prepared \"at a distance\", and it has been used to demonstrate the\ninsecurity of all bit commitment protocols based on finite quantum systems\nwithout superselection rules. In this paper, we prove a generalized HJW theorem\nfor arbitrary ensembles of states on a C*-algebra. We then use this result to\ndemonstrate the insecurity of bit commitment protocols based on infinite\nquantum systems, and quantum systems with Abelian superselection rules.",
"arxiv_id": "quant-ph/0310001",
"authors": [
"Hans Halvorson"
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"quant-ph",
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"doi": "10.1063/1.1812827",
"journal_ref": "J.Math.Phys. 45 (2004) 4920-4931",
"title": "Remote preparation of arbitrary ensembles and quantum bit commitment",
"url": "https://arxiv.org/abs/quant-ph/0310001"
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