From Geometric Quantum Mechanics to Quantum Information

Details From Geometric Quantum Mechanics to Quantum Information From Geometric Quantum Mechanics to Quantum Information

2011-01-03

arxiv.org/abs/1101.0625v1

Physics

Mathematical Physics

24 pages, 3 figures

Scientific paper

We consider the geometrization of quantum mechanics. We then focus on the pull-back of the Fubini-Study metric tensor field from the projective Hibert space to the orbits of the local unitary groups. An inner product on these tensor fields allows us to obtain functions which are invariant under the considered local unitary groups. This procedure paves the way to an algorithmic approach to the identification of entanglement monotone candidates. Finally, a link between the Fubini-Study metric and a quantum version of the Fisher information metric is discussed.

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