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LOCALIZED ENDOMORPHISMS IN KITAEV'S TORIC CODE ON THE PLANE

LOCALIZED ENDOMORPHISMS IN KITAEV'S TORIC CODE ON THE PLANE

We consider various aspects of Kitaev's toric code model on a plane in the C*-algebraic approach to quantum spin systems on a lattice. In particular, we show that elementary excitations of the ground state can be described by localized endomorphisms of the observable algebra. The structure of these endomorphisms is …