A Quaternionic Map Causing Bipartite Entanglement

• URL: http://arxiv.org/abs/2111.05640v1
• Date: Wed, 10 Nov 2021 11:10:18 GMT
• Title: A Quaternionic Map Causing Bipartite Entanglement
• Authors: Lidia Obojska
• Abstract summary: We propose a quaternionic map which transforms a single quantum state into a bipartite entanglement. The proposed operation, under several restrictions, always causes bipartite entanglement.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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