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])