Explicit formulae for the Bures metric

Journal of Physics A: Mathematical and General

Volumn 32, Issue 14, 1999, Pages 2663-2670

  Dittmann, J ^a  

^a UNIVERSITY OF LEIPZIG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033537748     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/14/007     Document Type: Article

References (13)

1. Uhlmann A 1992 The metric of Bures and the geometric phase Quantum Groups and Related Topics ed R Gielerak et al (Dordrecht: Kluwer) pp 267-74
2. Uhlmann A 1986 Parallel transport and 'quantum holonomy' Rep. Math. Phys. 24 229-40
3. Dittmann J and Uhlmann A 1998 Connections and metrics respecting purification of quantum states J. Math. Phys. to appear
4. Hübner M 1992 Explicit computation of the Bures distance for density matrices Phys. Lett. A 163 239-42
5. Dittmann J 1993 On the Riemannian geometry of finite dimensional mixed states Sem. S. Lie 3 73-87
6. Twamley J 1996 Bures and statistical distance for squeezed thermal states J. Phys. A: Math. Gen. 29 3723
7. Slater P B 1998 Bures metrics for certain high-dimensional quantum systems Phys. Lett. A 244 35-42
8. Slater P B 1996 Quantum Fisher - Bures information and two-level systems and a tree-level extension J. Phys. A: Math. Gen. 29 L271-5
9. Bhatia R and Rosenthal P 1997 How and why to solve the operator equation AX - XB = Y Bull. Lond. Math. Soc. 29 1-21
10. Smith R A 1966 Matrix calculations for Lyapunov quadratic forms J. Diff. Eqns 2 208-17
11. MacDonald I G 1995 Symmetric Functions and Hall Polynomials (Oxford: Clarendon)
12. Petz D 1996 Monotone metrics on matrix spaces Linear Algebr. Appl. 244 81-96
13. Braunstein S L and Caves C M 1994 Statistical distance and the geometry of quantum states Phys. Rev. Lett. 72 3439-43