Invariants for maximally entangled vectors and unitary bases
Quantum Physics
2014-01-03 v1 Mathematical Physics
math.MP
Abstract
The purpose of this paper is to study the equivalence relation on unitary bases defined by R. F. Werner [{\it J. Phys. A: Math. Gen.} {\bf 34} (2001) 7081], relate it to local operations on maximally entangled vectors bases, find an invariant for equivalence classes in terms of certain commuting systems, and, relate it to mutually unbiased bases and Hadamard matrices. Illustrations are given in the context of latin squares and projective representations as well. Applications to quantum tomography are indicated.
Keywords
Cite
@article{arxiv.1401.0099,
title = {Invariants for maximally entangled vectors and unitary bases},
author = {Sibasish Ghosh and Ajit Iqbal Singh},
journal= {arXiv preprint arXiv:1401.0099},
year = {2014}
}
Comments
33 pages; single column; four eps figures; comments are welcome