References
- Stinespring WF. Positive functions on C*-algebras. Proc. Amer. Math. Soc. 1955;6:211–216.
- Li C-K, Poon Y-T. Interpolation problem by completely positive maps. Linear Multlinear Algebra. 2011;59:1159–1170.
- Kraus K. General state changes in quantum theory. Ann. Phys. 1971;64:311–335.
- Kraus K. States, effects, and operations. Berlin: Springer-Verlag; 1983.
- Alberti PM, Uhlmann A. A problem relating to positive linear maps on matrix algebras. Rep. Math. Phys. 1980;18:163–176.
- Chefles A, Jozsa R, Winter A. On the existence of physical transformations between sets of quantum states. Int. J. Quantum Inf. 2004;2:11–22.
- Huang Z, Li C-K, Poon E, Sze N-S. Physical transformations between quantum states. J. Math. Phys. 2012;53:102209.
- Heinosaari T, Jivulescu MA, Reeb D, Wolf MM. Extending quantum operations. J. Math. Phys. 2012;53:102208.
- Nesterov Y, Nemirovsky A. Interior point polynomial algorithms in convex programming. Vol. 13. Studies in applied mathematics. Philadelphia (PA): SIAM; 1994.
- Vanderberghe L, Boyd S. Semidefinite programming. SIAM Rev. 1996;38:49–95.
- Chuang IL, Nielsen MA. Prescription for experimental determination of the dynamics of a quantum black box. J. Mod. Opt. 1997;44:2455–2467.
- D’Ariano GM, Lo Presti P. Tomography of quantum operations. Phys. Rev. Lett. 2001;86:4195–4198.
- Gonçalves DS, Lavor C, Gomes-Ruggiero MA, Cesário AT, Vianna RO, Maciel TO. Quantum state tomography with incomplete data: maximum entropy and variational quantum tomography. Phys. Rev. A. 2013;87:052140.
- Smith RR, Ward JD. Matrix ranges for Hilbert space operators. Amer. J. Math. 1980;102:1031–1081.
- Paulsen V. Completely bounded maps and operator algebras. Cambridge: Cambridge University Press; 2002.
- Arveson WB. Subalgebras of C*-algebras I. Acta Math. 1969;123:141–224.
- Choi M-D. Completely positive linear maps on complex matrices. Lin. Alg. Appl. 1975;10:285–290.
- Gohberg I, Lancaster P, Rodman L. Indefinite linear algebra. Basel: Birkhäuser Verlag; 2005.
- Gheondea A. The three equivalent forms of completely positive maps on matrices. Ann. Univ. Bucharest (Math. Ser.). 2010;1:79–98.
- de Pillis J. Linear transformations which preserve hermitian and positive semidefinite operators. Pacific J. Math. 1967;23:129–137.
- Jamiołkowski A. Linear transformations which preserve trace and positive semidefiniteness of operators. Rep. Math. Phys. 1972;3:275–278.
- Hill RD. Linear transformations which preserve Hermitian matrices. Linear Algebra Appl. 1973;6:257–262.
- Douglas RG. On majorization, factorization, and range inclusion of operators on Hilbert space. Proc. Amer. Math. Soc. 1966;17:413–415.
- Kantorovich L. On the moment problem for a finite interval. Dokl. Acad. Sci. SSR. 1937;14:531–537. Russian.
- Aliprantis CD, Tourky R. Cones and duality. Vol. 84, Graduate studies in mathematics. Amer. Math. Soc. Providence (RI); 2007.
- Jenčová A. Generalized channels: channels for convex subsets of the state space. J. Math. Phys. 2012;53:012201.