Geometry of depolarizing channels

Details Geometry of depolarizing channels Geometry of depolarizing channels

2008-04-18

arxiv.org/abs/0804.3100v1

Physics

Quantum Physics

7 pages

Scientific paper

10.1103/PhysRevA.78.032308

Depolarizing maps acting on an N dimensional system are completely positive maps resulting into compression of the Bloch ball along the different polarization directions. In the qubit case these maps are a convex sum of four extremal maps and form a simplex in the space of compression coefficients along the three polarization directions. We calculate the compression domain for three and four level systems. For a three level system the region has curved surfaces, but it is a simplex for a four level system. We conjecture that it is a simplex in the case of 2^n level systems.

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