New multiplicativity results for qubit maps

Details New multiplicativity results for qubit maps New multiplicativity results for qubit maps

2005-12-21

arxiv.org/abs/quant-ph/0512185v2

Physics

Quantum Physics

14 pages; original proof simplified by using Gorini and Sudarshan's classification of extreme affine maps on R^3

Scientific paper

10.1063/1.2191787

Let $\Phi$ be a trace-preserving, positivity-preserving (but not necessarily completely positive) linear map on the algebra of complex $2 \times 2$ matrices, and let $\Omega$ be any finite-dimensional completely positive map. For $p=2$ and $p \geq 4$, we prove that the maximal $p$-norm of the product map $\Phi \ot \Omega$ is the product of the maximal $p$-norms of $\Phi$ and $\Omega$. Restricting $\Phi$ to the class of completely positive maps, this settles the multiplicativity question for all qubit channels in the range of values $p \geq 4$.

Affiliated with

Also associated with

No associations

Rating

New multiplicativity results for qubit maps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with New multiplicativity results for qubit maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New multiplicativity results for qubit maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-422765