### Abstract

Language | Undefined/Unknown |
---|---|

Publication status | Published - 6 Jun 2001 |

### Keywords

- quant-ph
- qubits
- qubit maps

### Cite this

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

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 -