References
- Heinosaari T, Ziman M. The mathematical language of quantum theory. Cambridge: Cambridge Univ. Press; 2012.
- Jamiołkowski A. Effective methods in investigation of irreducible quantum operations. Int. J. Geom. Methods Mod. Phys. 2012;9: 8p. Paper No.14.
- Farenick DR. Irreducible positive linear maps on operator algebras. Proc. Amer. Math. Soc. 1996;124:3381–3390.
- Shemesh D. Common eigenvectors of two matrices. Linear Algebra Appl. 1984;62:11–18.
- Alpin Yu, George A, Ikramov KhD. Solving the two dimensional CIS problem by a rational algorithm. Linear Algebra Appl. 2000;312:115–123.
- Alpin Yu, Ikramov KhD. Rational procedures in the problem of common invariant subspaces of two matrices. J. Math. Sci. 2003;114:1757–1764.
- George A, Ikramov KhD. Common invariant subspaces of two matrices. Linear Algebra Appl. 1999;287:171–179.
- Tsatsomeros M. A criterion for the existence of common invariant subspaces of matrices. Linear Algebra Appl. 2001;322:51–59.
- Pierce RS. Associative algebras. New York (NY): Springer-Verlag; 1982.
- Marcus M, Minc H. A survey of matrix theory and matrix inequalities. New York (NY): Dover; 1992.
- Arapura D, Peterson Ch. The common invariant subspace problem: an approach via Gröbner bases. Linear Algebra Appl. 2004;384:1–7.
- Bordenave Ch, Chafai D. Around the circular law. Probab. Surveys. 2009;9:1–89.
- Gohberg I, Lancaster P, Rodman L. Invariant subspaces of matrices with applications, Classics in applied mathematics. Philadelphia (PA): SIAM; 2006.
- Gunning RC, Rossi H. Analytic functions of several complex variables, Prentice-Hall series in modern analysis. London: Prentice-Hall; 1965.
- Lang S. Algebra. Revised 3rd ed. New York (NY): Springer, GTM 211; 2002.
- Nielsen MA, Chuang IL. Quantum computation and quantum information. Cambridge: Cambridge Univ. Press; 2010.
- Bengtsson I, Zyczkowski K. Geometry of quantum states: an introduction to quantum entanglement. Cambridge: Cambridge Univ. Press; 2006.