Infinite Dimensional Quantum Information Geometry
arXiv:math-ph/0007039 · doi:10.1063/1.1358175
Abstract
We present the construction of an infinite dimensional Banach manifold of quantum mechanical states on a Hilbert space H using different types of small perturbations of a given Hamiltonian. We provide the manifold with a flat connection, called the exponential connection, and comment on the possibility of introducing the dual mixture connection.
arXiv commentProceedings of the Disordered and Complex Systems, King's College, London, 10-14 July 2000 (satellite meeting of the ICMP2000)