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.
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Uskov et al. (2024) studied this question.
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