Wigner–Yanase information on quantum state space: the geometric approach P Gibilisco, T Isola Journal of Mathematical Physics 44 (9), 3752-3762, 2003 | 112 | 2003 |
Connections on non-parametric statistical manifolds by Orlicz space geometry P Gibilisco, G Pistone Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 (02 …, 1998 | 111 | 1998 |
Uncertainty principle and quantum Fisher information. II. P Gibilisco, D Imparato, T Isola Journal of mathematical physics 48 (7), 2007 | 96 | 2007 |
Yang-Mills gauge fields as harmonic functions for the Lévy Laplacian L Accardi, P Gibilisco, IV Volovich Russ. J. Math. Phys 2 (2), 235-250, 1994 | 92 | 1994 |
Algebraic and geometric methods in statistics P Gibilisco Cambridge University Press, 2010 | 81 | 2010 |
Quantum covariance, quantum Fisher information, and the uncertainty relations P Gibilisco, F Hiai, D Petz IEEE Transactions on Information Theory 55 (1), 439-443, 2008 | 81 | 2008 |
The Lévy Laplacian and the Yang-Mills equations L Accardi, IV Volovich, P Gibilisco P00011005, 1992 | 58 | 1992 |
Uncertainty principle and quantum Fisher information P Gibilisco, T Isola Annals of the Institute of Statistical Mathematics 59, 147-159, 2007 | 53 | 2007 |
CONNECTIONS ON STATISTICAL MANIFOLDS OF DENSITY OPERATORS BY GEOMETRY OF NONCOMMUTATIVE Lp-SPACES P Gibilisco, T Isola Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 (01 …, 1999 | 51 | 1999 |
A characterisation of Wigner–Yanase skew information among statistically monotone metrics P Gibilisco, T Isola Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 (04 …, 2001 | 46 | 2001 |
On a refinement of Heisenberg uncertainty relation by means of quantum Fisher information P Gibilisco, T Isola Journal of mathematical analysis and applications 375 (1), 270-275, 2011 | 38 | 2011 |
On a correspondence between regular and non-regular operator monotone functions P Gibilisco, F Hansen, T Isola Linear Algebra and its Applications 430 (8-9), 2225-2232, 2009 | 38 | 2009 |
A Robertson-type uncertainty principle and quantum Fisher information P Gibilisco, D Imparato, T Isola Linear Algebra and its Applications 428 (7), 1706-1724, 2008 | 34 | 2008 |
Inequalities for quantum Fisher information P Gibilisco, D Imparato, T Isola Proceedings of the American Mathematical Society 137 (1), 317-327, 2009 | 30 | 2009 |
A volume inequality for quantum Fisher information and the uncertainty principle P Gibilisco, D Imparato, T Isola arXiv preprint arXiv:0706.0791, 2007 | 20 | 2007 |
On the monotonicity of scalar curvature in classical and quantum information geometry P Gibilisco, T Isola Journal of mathematical physics 46 (2), 2005 | 19 | 2005 |
On the characterisation of paired monotone metrics P Gibilisco, T Isola Annals of the Institute of Statistical Mathematics 56, 369-381, 2004 | 18 | 2004 |
How to distinguish quantum covariances using uncertainty relations P Gibilisco, T Isola Journal of mathematical analysis and applications 384 (2), 670-676, 2011 | 15 | 2011 |
Information geometry and its applications N Ay, P Gibilisco, F Matus Springer Proceedings in Mathematics & Statistics 252, 11, 2018 | 13 | 2018 |
Monotone metrics on statistical manifolds of density matrices by geometry of non-commutative -spaces P Gibilisco, T Isola Disordered and Complex Systems, 129-140, 2001 | 11 | 2001 |