A, B, C of Three-Qubit Entanglement: Three Vectors to Control It All
Quantum Physics
2024-03-05 v2 Mathematical Physics
math.MP
Abstract
In this paper we are focusing on entanglement control problem in a three-qubit system. We demonstrate that vector representation of entanglement, associated with SO(6) representation of SU(4) two-qubit group, can be used to solve various control problems analytically including (i) the transformation between a W-type states and GHZ state, and (ii) manipulating bipartite concurrences and three-tangle under a restricted access to only two qubits, and (iii) designing USp(4)-type quaternionic operations and quantum states.
Keywords
Cite
@article{arxiv.2309.04621,
title = {A, B, C of Three-Qubit Entanglement: Three Vectors to Control It All},
author = {Dmitry B. Uskov and Paul M. Alsing},
journal= {arXiv preprint arXiv:2309.04621},
year = {2024}
}