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arXiv · 2309.04621

A, B, C of Three-Qubit Entanglement: Three Vectors to Control It All

Dmitry B. Uskov·Paul M. Alsing
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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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Dmitry B. Uskov, Paul M. Alsing. 2024-03-01. A, B, C of Three-Qubit Entanglement: Three Vectors to Control It All. https://arxiv.org/abs/2309.04621

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