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One-dimensional quantum cellular automata over finite, unbounded configurations
Pablo Arrighi, Vincent Nesme, Reinhard Werner
One-dimensional quantum cellular automata (QCA) consist in a line of identical, finite dimensional quantum systems. These evolve in discrete time steps according to a local, shift-…
Unitarity plus causality implies localizability
Pablo Arrighi, Vincent Nesme, Reinhard Werner
We consider a graph with a single quantum system at each node. The entire compound system evolves in discrete time steps by iterating a global evolution . We require that this g…
A Continuity Theorem for Stinespring's Dilation
Dennis Kretschmann, Dirk Schlingemann, Reinhard F. Werner
We show a continuity theorem for Stinespring's dilation: two completely positive maps between arbitrary C*-algebras are close in cb-norm iff we can find corresponding dilations tha…
On Haag Duality for Pure States of Quantum Spin Chain
M. Keyl, Taku Matsui, D. Schlingemann +1
We consider quantum spin chains and their translationally invariant pure states. We prove Haag duality for quasilocal observables localized in semi-infinite intervals when the von…