Some aspects of quantum entanglement for CAR systems

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We study quantum entanglement for CAR systems. Since the subsystems of disjoint regions are not independent for CAR systems, there are some distinct features of quantum entanglement which cannot be observed in tensor product systems. We show the failure of triangle inequality of von Neumann and the possible increase of entanglement degree under operations done in a local region for a bipartite CAR system.
12pages, no figure. This is a revised version of our paper "Entanglement and non-separability of CAR systems". Some corrections are made and the title is changed to the present one according to the alteration of the contents

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