Canonical coset parametrization and the Bures metric of the three-level quantum systems

Seyed Javad Akhtarshenas · Journal of Mathematical Physics · 2007

An explicit parametrization for the state space of an n-level density matrix is given. The parametrization is based on the canonical coset decomposition of unitary matrices. We also compute, explicitly, the Bures metric tensor over the state space of two- and three-level quantum systems.

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