Basic properties of von Neumann entropy such as the triangle inequality and what we call MONO-SSA are studied for CAR systems. We show that both inequalities hold for every even state by using symmetric purification which is applicable to such a state. We construct a certain class of noneven states giving examples of the nonvalidity of those inequalities.
|Journal||Journal of Mathematical Physics|
|Publication status||Published - 2005 Mar|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics