Geometric aspects of quantum mechanics and quantum entanglement

Abstract

It is shown that the standard non-relativistic Quantum Mechanics gives rise to elegant and rich geometrical structures. The space of quantum states is endowed with nontrivial Fubini-Study metric which is responsible for the ""peculiarities"" of the quantum world. We show that there is also intricate connection between geometrical structures and quantum entanglement. © 2006 IOP Publishing Ltd.