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A, B, C of Three-Qubit Entanglement: Three Vectors to Control It All (2309.04621v2)
Published 8 Sep 2023 in quant-ph, math-ph, and 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.
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