dorsal/arxiv
View SchemaThe Geometry of Single-Qubit Maps
| Authors | D. K. L. Oi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0106035 |
| URL | https://arxiv.org/abs/quant-ph/0106035 |
Abstract
The physically allowed quantum evolutions on a single qubit can be described in terms of their geometry. From a simple parameterisation of unital single-qubit channels, the canonical form of all such channels can be given. The related geometry can be used to understand how to approximate positive maps by completely-positive maps, such as in the case of optimal eavesdropping strategies. These quantum channels can be generated by the appropriate network or through dynamical means. The Str{\o}mer-Woronowisc result can also be understood in terms of this geometry.
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"abstract": "The physically allowed quantum evolutions on a single qubit can be described\nin terms of their geometry. From a simple parameterisation of unital\nsingle-qubit channels, the canonical form of all such channels can be given.\nThe related geometry can be used to understand how to approximate positive maps\nby completely-positive maps, such as in the case of optimal eavesdropping\nstrategies. These quantum channels can be generated by the appropriate network\nor through dynamical means. The Str{\\o}mer-Woronowisc result can also be\nunderstood in terms of this geometry.",
"arxiv_id": "quant-ph/0106035",
"authors": [
"D. K. L. Oi"
],
"categories": [
"quant-ph"
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"title": "The Geometry of Single-Qubit Maps",
"url": "https://arxiv.org/abs/quant-ph/0106035"
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