Seminar at SMU Delhi

March 26, 2014 (Wednesday) , 3:30 PM at Webinar
Speaker: Ajit Iqbal Singh, Indian Statistical Institute, New Delhi
Title: Invariants for maximally entangled vectors and unitary bases
Abstract of Talk
The purpose of this talk is to present the equivalence relation on unitary bases defined by R. F. Werner [J. Phys. A: Math. Gen.(2001) 7081] and relate it to local operations on maximally entangled vectors bases. We will give an invariant for equivalence classes in terms of certain commuting systems, and, relate it to mutually unbiased bases and Hadamard matrices. Illustrations will be given in the context of latin squares and projective representations as well. Applications to quantum tomography will be indicated. (This is based on the joint work with Sibasish Ghosh, IMSc, Chennai, arXiv:1401.0099[quant-ph])