The Exact Curve Equation for Majorana Stars

Majorana stars are visual representation for a quantum pure state. For some states, the corresponding majorana stars are located on one curve on the Block sphere. However, it is lack of exact curve equations for them. To find the exact equations, we consider a superposition of two bosonic coherent s...

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Bibliographic Details
Published in:Scientific Reports
Main Authors: Yao, Fei, Li, Dechao, Liu, Haodi, Fu, Libin, Wang, Xiaoguang
Format: Text
Language:English
Published: Nature Publishing Group UK 2017
Subjects:
Online Access:http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5686145/
http://www.ncbi.nlm.nih.gov/pubmed/29138477
https://doi.org/10.1038/s41598-017-15776-w
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Summary:Majorana stars are visual representation for a quantum pure state. For some states, the corresponding majorana stars are located on one curve on the Block sphere. However, it is lack of exact curve equations for them. To find the exact equations, we consider a superposition of two bosonic coherent states with an arbitrary relative phase. We analytically give the curve equation and find that the curve always goes through the North pole on the Block sphere. Furthermore, for the superpositions of SU(1,1) coherent states, we find the same curve equation.