dorsal/arxiv
View SchemaCompletely positive covariant two-qubit quantum processes and optimal quantum NOT operations for entangled qubit pairs
| Authors | J. Novotny, G. Alber, I. Jex |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603184 |
| URL | https://arxiv.org/abs/quant-ph/0603184 |
| DOI | 10.1103/PhysRevA.73.062311 |
Abstract
The structure of all completely positive quantum operations is investigated which transform pure two-qubit input states of a given degree of entanglement in a covariant way. Special cases thereof are quantum NOT operations which transform entangled pure two-qubit input states of a given degree of entanglement into orthogonal states in an optimal way. Based on our general analysis all covariant optimal two-qubit quantum NOT operations are determined. In particular, it is demonstrated that only in the case of maximally entangled input states these quantum NOT operations can be performed perfectly.
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"abstract": "The structure of all completely positive quantum operations is investigated\nwhich transform pure two-qubit input states of a given degree of entanglement\nin a covariant way. Special cases thereof are quantum NOT operations which\ntransform entangled pure two-qubit input states of a given degree of\nentanglement into orthogonal states in an optimal way. Based on our general\nanalysis all covariant optimal two-qubit quantum NOT operations are determined.\nIn particular, it is demonstrated that only in the case of maximally entangled\ninput states these quantum NOT operations can be performed perfectly.",
"arxiv_id": "quant-ph/0603184",
"authors": [
"J. Novotny",
"G. Alber",
"I. Jex"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.062311",
"title": "Completely positive covariant two-qubit quantum processes and optimal quantum NOT operations for entangled qubit pairs",
"url": "https://arxiv.org/abs/quant-ph/0603184"
},
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