The scalar curvature of the Bures metric on the space of density matrices. (English) Zbl 0966.53014
The Riemannian Bures metric on the space of complex positive \(n\times n\) matrices \(D\) is defined by: \(g_Q(X,Y)= {1\over 2}TrXG\), where \(X,Y\in T_QD\) and \(G\) is the unique solution of equation \(QG+GQ=Y\).
The author determines the Ricci tensor and the scalar curvature of the Bures metric.
The author determines the Ricci tensor and the scalar curvature of the Bures metric.
Reviewer: S.Noaghi (Deva)
MSC:
| 53B20 | Local Riemannian geometry |
| 53B50 | Applications of local differential geometry to the sciences |
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