ar X iv : m at h - ph / 0 40 50 42 v 1 1 4 M ay 2 00 4 Entropy inequalities for CAR systems ( around the strong subadditivity )
نویسنده
چکیده
Basic properties of von Neumann entropy around the strong subadditivity (SSA) are studied for the CAR systems. An entropy inequality named MONO-SSA equivalent to SSA for the tensor-product systems can fail for the CAR systems. However, if the state of the CAR systems is even, MONO-SSA is shown to be equivalent to SSA due to the symmetric purification, and is valid for such a state. Mailing address: Institut des Hautes Études Scientifiques (IHES), Le Bois-Marie, 35, route de Chartres F-91440 Bures-sur-Yvette, FRANCE. e-mail:[email protected]
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