Qubit channels that achieve capacity with two states

Details Qubit channels that achieve capacity with two states Qubit channels that achieve capacity with two states

2004-12-15

arxiv.org/abs/quant-ph/0412113v1

Phys. Rev. A 71, 032334 (2005).

Physics

Quantum Physics

9 pages, 2 figures

Scientific paper

10.1103/PhysRevA.71.032334

This paper considers a class of qubit channels for which three states are always sufficient to achieve the Holevo capacity. For these channels it is known that there are cases where two orthogonal states are sufficient, two non-orthogonal states are required, or three states are necessary. Here a systematic theory is given which provides criteria to distinguish cases where two states are sufficient, and determine whether these two states should be orthogonal or non-orthogonal. In addition, we prove a theorem on the form of the optimal ensemble when three states are required, and present efficient methods of calculating the Holevo capacity.

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