The geometry of single-qubit maps

Research output: Working paper

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.
LanguageUndefined/Unknown
Publication statusPublished - 6 Jun 2001

Keywords

  • quant-ph
  • qubits
  • qubit maps

Cite this

@techreport{b2ed494561d54df18b6c56aebcde22c6,
title = "The geometry of single-qubit maps",
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.",
keywords = "quant-ph, qubits, qubit maps",
author = "{K. L. Oi}, D.",
note = "10 pages, 8 figures, REVTeX4",
year = "2001",
month = "6",
day = "6",
language = "Undefined/Unknown",
type = "WorkingPaper",

}

The geometry of single-qubit maps. / K. L. Oi, D.

2001.

Research output: Working paper

TY - UNPB

T1 - The geometry of single-qubit maps

AU - K. L. Oi, D.

N1 - 10 pages, 8 figures, REVTeX4

PY - 2001/6/6

Y1 - 2001/6/6

N2 - 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.

AB - 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.

KW - quant-ph

KW - qubits

KW - qubit maps

UR - http://arxiv.org/PS_cache/quant-ph/pdf/0106/0106035v1.pdf

M3 - Working paper

BT - The geometry of single-qubit maps

ER -