Combinatorial structure of a holonomic controlled phase gate
arXiv:1112.3762 · doi:10.1063/1.3688963
Abstract
We investigate the combinatorial structures of a holonomic controlled quantum gate based on toric varieties. In particular, we in detail discuss the combinatorial structures of a two-qubit holonomic controlled quantum gate on a two-qubit, a three-qubit, and a four-qubit quantum states. Our results show interesting relations between toric varieties of qubit systems and action of a two-qubit holonomic quantum gate on multi-qubit states.
5 pages, talk given at the conference on Foundations of Probability and Physics-6 (FPP6), Växjö, June 13-16, 2011