We consider states defined on non-trivial topologies of Torus, Mobius and Torus-Mobius. Adequate operators leading to the construction of coherent states, two-mode coherent states and entangled states are derived and we show a class of entangled states on Torus that are related to the entanglement of photons by orbital angular momentum states.
@article{arxiv.1402.0500,
title = {Entanglement And Non-Trivial Topologies},
author = {Thiago Prudencio and Diego Julio Cirilo-Lombardo},
journal= {arXiv preprint arXiv:1402.0500},
year = {2014}
}