References
- von Neumann J. Thermodinamik quantenmechanischer Gesamtheiten. Nachr Ges Wiss Göttingen. 1927;273–291.
- Jaynes ET. Information theory and statistical mechanics. Phys Rev. 1957;106:620–630; 108 (1957) 171–190.
- Fuchs CA. Quantum mechanics as quantum information (and only a little more). J Mod Opt. 2003;50:987–1023.
- Jones KRW. Principles of quantum inference. Ann Phys – New York. 1991;207:140– 170. Bibcode:1991AnPhy.207.140J. doi:10.1016/0003-4916(91)90182-8.
- Rodman L, Spitkowsky IM, Szkola A, Weis S. Continuity of the maximum-entropy inference: convex geometry and numerical ranges approach. J Math Phys. 2016;57:015204.
- Spitkovsky IM, Weis S. Pre-images of extreme points of the numerical range and applications. Oper Matrices. 2016;10:1043–1058.
- Weis S. Information topologies on non-commutative state spaces. J Convex Anal. 2014;21:339–399.
- Marcus M. Derivations, Plücker relations, and the numerical range. Indiana Univ Math J. 1972/73;22:1137–1149.
- Hausdorff F. Der Wertvorrat einer Bilinearform. Math Z. 1919;3:314–316.
- Toeplitz O. Das algebraische Analogon zu einem Satz von Fejér. Math Z. 1918;2:187–197.
- Bebiano N. Nondifferentiable points of ∂Wc(A). Linear Algebra Appl. 1986;19:249–257.
- Bebiano N, Providência J. On the generalized free energy inequality. Adv Oper Theory. 2017;2:50–58.
- Landau LD, Lifshitz EM. Statistical physics. Oxford: Pergamon Press; 1969.
- Bebiano N, Lemos R, Providência J. Matrix inequalities in statistical mechanics. Linear Algebra Appl. 2004;376:265–273.
- Bebiano N, Lemos R, Providência J. Inequalities for quantum relative entropy. Linear Algebra Appl. 2005;376:155–172.
- Westwick T. A theorem on numerical range. Linear Multilinear Algebra. 1975;2:311–315.
- Goldberg M, Straus EG. Elementary inclusion relations for generalized numerical ranges. Linear Algebra Appl. 1977;18:1–24.
- Joswig M, Straub M. On the numerical range map. J Aust Math Soc. 1998;65:267–283.
- Wichmann EH. Density matrices arising from incomplete measurements. J Math Phys. 1963;3:884–896.
- Polyak BT. Convexity of nonlinear image of a small ball with applications to optimization. Set-Valued Anal. 2001;9:159–168.