Armin Uhlmann
Published 2004-07-29Version 1
Antilinearity is quite natural in bipartite quantum systems. There is a one-to-one correspondence between vectors and certain antilinear maps, here called EPR-maps. Some of their properties and uses, including the factorization of quantum teleportation maps, is explained. There is an elementary link to twisted Kronecker products and to the modular objects of Tomita and Takesaki.
Comments: Conference: Quantum Probability and Infinite-dimensional Analysis
Journal: Quantum Probability and White Noise Analysis, Volume 15, 255-268, World Scientific 2003 (W. Freudenberg, ed.)
Generalized conditional entropy in bipartite quantum systems
Bipartite quantum systems: on the realignment criterion and beyond
Schmidt number of pure states in bipartite quantum systems as an algebraic-geometric invariant
