Computing Stabilized Norms for Quantum Operations via the Theory of Completely Bounded Maps

Details Computing Stabilized Norms for Quantum Operations via the Theory of Completely Bounded Maps Computing Stabilized Norms for Quantum Operations via the Theory of Completely Bounded Maps

2007-11-22

arxiv.org/abs/0711.3636v1

Physics

Quantum Physics

21 pages, preprint version

Scientific paper

The diamond and completely bounded norms for linear maps play an increasingly important role in quantum information science, providing fundamental stabilized distance measures for differences of quantum operations. Based on the theory of completely bounded maps, we formulate an algorithm to compute the norm of an arbitrary linear map. We present an implementation of the algorithm via Maple, discuss its efficiency, and consider the case of differences of unitary maps.

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