Contractions, Matrix Paramatrizations, and Quantum Information

2006/10/31 by Ming-Cheng Tseng, Tseng, M. C.
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Computing Algorithms and Architecture #Quantum Mechanics and Applications

paper · pdf · doi:10.48550/arxiv.quant-ph/0610259

Abstract

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.

Citations

• Completely positive linear maps on complex matrices

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