SU(N) and U(N) Euler angle parameterization with applications for multi-particle entanglement modeling

Todd Tilma, E. C. G. Sudarshan

Here we apply our SU(N) and U(N) parameterizations to the question of entanglement in the two qubit and qubit/qutrit system. In particular, the group operations which entangle a two qubit pure state will be given, as well as the corresponding manifold that the operations parameterize. We also give the volume of this manifold, as well as the hypothesized volume for the set of all entangled two qubit pure and mixed states. Extension of this work to the qubit/qutrit system will also be given.

Linlin Zheng, Hiroaki Matsueda, Hiromasa Ohnishi

Otto C. W. Kong, Hock King Ting

Todd Tilma, E. C. G. Sudarshan

Thomas Barthel

Todd Tilma, E. C. G. Sudarshan