Entanglement and Non-Separability of CAR Systems
نویسنده
چکیده
We study quantum entanglement of bipartite CAR systems. We show that triangle inequality of von Neumann entropy does not hold in these systems. Meanwhile, we show non-separability in the sense of Florig-Summers for our CAR systems. Entanglement degrees by Narnhofer are generalized to an arbitrary, that is, not-necessarily commuting pair of general C∗-systems. These new entanglement degrees are investigated with some explicit calculations for certain pairs of our CAR systems. We introduce a notion named half-sided entanglement via our generalized entanglement degree. By using this notion, we describe those certain notable features of quantum entanglement which originate from CAR.
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