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Local invariants of unitary operations in four-qubit quantum system
LI Bin 1,YU Zu-Huan 2
1.School of Mathematical Science, Capital Normal University, Beijing 100037; School of Mathematics and Statistics, Northeast Normal University, Changchun 130024
2.School of Mathematical Science, Capital Normal University, Beijing 100037
*Correspondence author
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Funding: National Research Foundation for theDoctoral Program of Higher Education of China（No.20111108110001）, National Natural Science Foundation ofChina （No.Grant No. 11275131）
Opened online:25 November 2015
Accepted by: none
Citation: LI Bin ,YU Zu-Huan.Local invariants of unitary operations in four-qubit quantum system[OL]. [25 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4663169
 
 
we investigate the local invariants for four-qubit states and seek for some equivalent condition on the local equivalent operators with regard to the action of $SO(4)otimesSO(4)$. In order to find fewer enough invariants, by thinking of the kind of local equivalence as a special case of that with regard to the action of $SO(2^4),$ then we strengthen our result until we find the complete set of the invariants. In addition, we can obtain a result about the case of three extbf{-}qubit quantum system.
Keywords:Quantum computation, local invariants, unitary group.
 
 
 

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