Bures metrics for certain high-dimensional quantum systems

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 244, Issue 1-3, 1998, Pages 35-42

  Slater, Paul B ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; QUANTUM OPTICS; TENSORS;

BURES DISTANCE; DENSITY MATRIX; GAUSSIAN CURVATURES; GIBBS DISTRIBUTION; HIGH-DIMENSIONAL; QUANTUM SYSTEM; STATISTICAL DISTANCE; TENSOR PRODUCTS;

MATRIX ALGEBRA;

EID: 0040662273     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(98)00319-3     Document Type: Article

References (24)

1. M. Hübner, Phys. Lett. A 163 (1992) 239.
2. M. Hübner, Phys. Lett. A 179 (1993) 226.
3. S.L. Braunstein, C.M. Caves, Phys. Rev. Lett. 72 (1994) 3439.
4. J. Dittmann, Sem. Sophus Lie 3 (1993) 73.
5. P.B. Slater, J. Phys. A 29 (1996) L271.
6. P.B. Slater, Thermodynamics of spin-1 systems, Los Alamos preprint archive, quant-ph/9802019 (1998).
7. J. Twamley, J. Phys. A 29 (1996) 3723.
8. P.B. Slater, J. Phys. A 29 (1996) L601.
9. P.B. Slater, Noninformative priors for quantum inference, Los Alamos Preprint Archive, quant-ph/9703012 (1997).
10. D. Brody, N. Rivier, Phys. Rev. A 51 (1995) 1006.
11. G. Ruppeiner, Rev. Mod. Phys. 67 (1995) 605.
12. C. Lanczos, Space Through the Ages (Academic Press, London, 1970).
13. Daò Tro̧ng Thi, A.T. Fomenko, Minimal Surfaces, Statified Multivarifolds, and the Plateau Problem (American Mathematical Society, Providence, 1991).
14. K.P. Tod, Class. Quantum Grav. 9 (1992) 1693.
15. J. Oprea, Differential Geometry and Applications (Prentice-Hall, Upper Saddle River, 1997).
16. P.B. Slater, J. Math. Phys. 37 (1996) 2682.
17. S.L. Braunstein, G.J. Milburn, Phys. Rev. A 51 (1995) 1820.
18. C. Krattenthaler, P.B. Slater, Asymptotic redundancies for universal quantum coding, Los Alamos Preprint Archive, quant-ph/9612043 (1996) (also MSRI Preprint No. 1997-045).
19. P.B. Slater, Quantum statistical thermodynamics of two-level systems, Los Alamos Preprint Archive, quant-ph/9706013 (1997).
20. C. Brosseau, D. Bicout, Phys. Rev. E 55 (1997) 3851.
21. D.C. Brody, L.P. Hughston, The quantum canonical ensemble, Los Alamos Preprint Archive, quant-ph/9709048 (1997).
22. P.B. Slater, Bayesian thermostatistical analyses of two-level complex and quaternionic two-level systems, Los Alamos preprint archive, quant-ph/9710057 (1997).
23. L.C. Biedenharn, J.D. Louck, Angular Momentum in Quantum Physics: Theory and Applications (Addison-Wesley, Reading, MA, 1981).
24. R. Pauncz, Spin Eigenfunctions: Construction and Use (Plenum, New York, 1979).