Jensen-Shannon Divergence and Non-linear Quantum Dynamics
Mathematical Physics
2012-10-16 v1 math.MP
Abstract
Using the statistical inference method, a non-relativistic, spinless, non-linear quantum dynamical equation is derived with the Fisher information metric substituted by the Jensen-Shannon distance information. Among all possible implications, it is shown that the non-linear Schr\"odinger equation preserves the symplectic structure of the complex Hilbert space, hence a Hamiltonian dynamics. The canonically projected dynamics is obtained on the corresponding projective Hilbert space of pure state density operators.
Cite
@article{arxiv.1210.3879,
title = {Jensen-Shannon Divergence and Non-linear Quantum Dynamics},
author = {Saeid Molladavoudi and Hishamuddin Zainuddin and Chan Kar Tim},
journal= {arXiv preprint arXiv:1210.3879},
year = {2012}
}
Comments
19 pages