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arXiv · 2111.05640

A Quaternionic Map Causing Bipartite Entanglement

Lidia Obojska
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Abstract

In the following manuscript we propose a quaternionic map which transforms a single quantum state into a bipartite entanglement. Until now such a transformation has not been defined yet. To define such a map, we embed one particle state within the algebra of complex quaternions. Next, on the basis of rotational features of quaternions, we choose a special quaternion which in combination with a quaternion describing a particle state, causes its splitting in a specified direction in 4D space. Finally, we prove that the proposed operation, under several restrictions, always causes bipartite entanglement.

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Lidia Obojska. 2021-11-10. A Quaternionic Map Causing Bipartite Entanglement. https://arxiv.org/abs/2111.05640

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