The Importance of Being Unistochastic

Details The Importance of Being Unistochastic The Importance of Being Unistochastic

2004-03-11

arxiv.org/abs/quant-ph/0403088v1

Physics

Quantum Physics

8 pages, contribution to the Second Vaxjo Conference of Quantum Theory: Reconsideration of Foundations

Scientific paper

A bistochastic matrix is a square matrix with positive entries such that rows and columns sum to unity. A unistochastic matrix is a bistochastic matrix whose matrix elements are the absolute values squared of a unitary matrix. We can now ask questions such as when a given bistochastic matrix is unistochastic. I review these questions: Why they are asked, why they are difficult to answer, and what is known about them.

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