Dilation Theoretic Parametrizations of Positive Matrices with Applications to Quantum Information

Details Dilation Theoretic Parametrizations of Positive Matrices with Applications to Quantum Information Dilation Theoretic Parametrizations of Positive Matrices with Applications to Quantum Information

2006-10-03

arxiv.org/abs/quant-ph/0610021v1

Physics

Quantum Physics

Submitted to the Tiberiu Constantinescu Memorial Volume

Scientific paper

This paper, dedicated to the memory of late Professor Tiberiu Constantinescu, discusses two parametrizations of positive matrices. The first, called the Schur-Constantinescu parametrization, is used to construct several examples of separable states (e.g., Hankel states). The second, called the Jacobi parametrization, is used to present an alternative to the Bloch sphere representation of qubits.

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