2021/11/10 by Lidia Obojska, Obojska, Lidia
Mathematics · Physics and Astronomy · #17A35 #81-10 #81P15 #Advanced Mathematical Theories and Applications #Algebraic and Geometric Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #math-ph #math.MP #msc:17A35 #msc:81-10 #msc:81P15 #quant-ph
paper · pdf · doi:10.48550/arxiv.2111.05640
11 pages
arxiv created 2021/11/10 · openalex publication_date 2021/11/10 · arxiv updated 2021/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.