Extremal properties of the variance and the quantum Fisher information

E. P. Wigner and M.M. Yanase, Proc. Natl. Acad. Sci. U.S.A. 49, 910 (1963)

1963

Earlier work this paper cites.

C. W. Helstrom, Quantum Detection and Estimation Theory (Academic Press, New York, 1976)

1976

Earlier work this paper cites.

A. S. Holevo, Probabilistic and Statistical Aspect of Quantum Theory (North-Holland, Amsterdam, 1982)

1982

Earlier work this paper cites.

R. F. Werner, Phys. Rev. A 40

1989

Earlier work this paper cites.

S. L. Braunstein and C. M. Caves, Phys. Rev. Lett. 72

1994

Earlier work this paper cites.

A. Peres, Phys. Rev. Lett. 77

1996

Earlier work this paper cites.

S. Hill and W. K. Wootters, Phys. Rev. Lett. 78

1997

Earlier work this paper cites.

A. S. Sørensen, L.-M. Duan, J.I. Cirac, and P. Zoller, Nature (London) 409

2001

Earlier work this paper cites.

A. S. Sørensen and K. Mølmer, Phys. Rev. Lett. 86

2001

Earlier work this paper cites.

D. Petz, J. Phys. A: Math. Gen. 35

2002

Earlier work this paper cites.

V. Giovanetti, S. Lloyd and L. Maccone, Science 306

2004

Earlier work this paper cites.

The random matrix is uniformly distributed according to the Hilbert-Schmidt norm. H.-J. Sommers and K. Życzkowski, J. Phys. A 37

2004

Earlier work this paper cites.

J. Löfberg, Yalmip: A Toolbox for Modeling and Optimization in MATLAB, In Proceedings of the CACSD Conference, Taipei, Taiwan, 2004; MATLAB, http://users.isy.liu.se/johanl/yalmip/

2004

Earlier work this paper cites.

For entanglement detection based on local uncertainty relations, see O. Gühne, Phys. Rev. Lett. 92

2004

Cited alongside, same era.

A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, Phys. Rev. A 69

2005

Cited alongside, same era.

Every symmetric separable state can be written in the form Eq. ( 76

2005

Cited alongside, same era.

V. Giovannetti, S. Lloyd, and L. Maccone, Phys. Rev. Lett. 96

2006

Cited alongside, same era.

D. Petz, Quantum Information Theory and Quantum Statistics (Springer-Verlag, Heidelberg, 2008)

2008

Cited alongside, same era.

G. Tóth, Comput. Phys. Commun. 179

2008

Cited alongside, same era.

R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, P. Hyllus, L. Pezzé, and A. Smerzi, Phys. Rev. Lett. 107

2011

Closest in time.

For a review on generalized variances, different types of quantum Fisher information and covariances see D. Petz and C. Ghinea, Introduction to quantum Fisher information, QP-PQ: Quantum Probability and White Noise Analysis, vol. 27. (Eds: R. Rebolledo and M. Orszag), World Scientific, 2011, 261-281

2011

Closest in time.

F. Fröwis and W. Dür, Phys. Rev. Lett. 106

2011

Closest in time.

B. M. Escher, R. L. de Matos Filho, and L. Davidovich, Nature Phys. 7

2011

Closest in time.

P. Hyllus, W. Laskowski, R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, L. Pezzé, A. Smerzi, Phys. Rev. A 85

2012

Closest in time.