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Some aspects of quantum entanglement for CAR systems. (English) Zbl 1022.46037
Summary: We show some distinct features of quantum entanglement for bipartite CAR systems such as the failure of triangle inequality of von Neumann entropy and the possible change of our entanglement degree under local operations. Those are due to the nonindependence of CAR systems and never occur in any algebraic independent systems. We introduce a new notion, namely half-sided entanglement.
MSC:
46L30States of C * -algebras
81P68Quantum computation
94A17Measures of information, entropy