Physical Review A

Quantum-state space metric and correlations

Sumiyoshi Abe

Published Aug 1, 1992• 24 citations

Abstract

We study the Fubini-Study metric induced on the quantum evolution submanifold of the projective Hilbert space associated with the evolutions generated by a set of independent operators. It is shown that if the operators are Hermitian, then the off-diagonal components of the metric describe the correlations between them. Thus, not only the uncertainty but also the correlation acquires its geometrical interpretation. We also demonstrate this by using a squeezed state.

DOI: 10.1103/physreva.46.1667

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