Validity and Failure of some Entropy inequalities for CAR systems
نویسنده
چکیده
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 non-even states giving examples of the non-validity of those inequalities. e-mail:[email protected]
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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 addr...
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