2016/05/31 by Benjamin Musto
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.4204/eptcs.236.8
published as EPTCS 236, 2017, pp. 108-126 · In Proceedings QPL 2016, arXiv:1701.00242
arxiv created 2017/01/03 · arxiv updated 2017/01/04
We introduce orthogonal quantum Latin squares, which restrict to traditional orthogonal Latin squares, and investigate their application in quantum information science. We use quantum Latin squares to build maximally entangled bases, and show how a pair of mutually unbiased maximally entangled bases can be constructed in square dimension from orthogonal quantum Latin squares. We also compare our construction to an existing construction due to Beth and Wocjan and show that ours is strictly more general.