Canonical Coset Parameterization and the Bures Metric of the Three-level Quantum Systems

Details Canonical Coset Parameterization and the Bures Metric of the Three-level Quantum Systems Canonical Coset Parameterization and the Bures Metric of the Three-level Quantum Systems

2006-04-10

arxiv.org/abs/quant-ph/0604063v2

J. Math. Phys., Vol. 48, 012102 (2007)

Physics

Quantum Physics

12 pages, 1 figure, typos fixed, references added

Scientific paper

An explicit parameterization for the state space of an $n$-level density
matrix is given. The parameterization 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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