Contractions, Matrix Paramatrizations, and Quantum Information

Details Contractions, Matrix Paramatrizations, and Quantum Information Contractions, Matrix Paramatrizations, and Quantum Information

2006-10-31

arxiv.org/abs/quant-ph/0610259v1

Physics

Quantum Physics

Submitted to J. Math. Phys

Scientific paper

In this note, we discuss dilation-theoretic matrix parametrizations of contractions and positive matrices. These parametrizations are then applied to some problems in quantum information theory. First we establish some properties of positive maps, or entanglement witnesses. Two further applications, concerning concrete dilations of completely positive maps, in particular quantum operations, are given.

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