Moving quantum agents in a finite environment
Abstract
Description
We investigate an all-quantum-mechanical spin network, in which a subset of spins, the $K$ ``moving agents'', are subject to local and pair unitary transformations controlled by their position with respect to a fixed ring of $M$ ``environmental''-spins. We demonstrate that a ``flow of coherence'' results between the various subsystems. Despite entanglement between the agents and between agent and environment, local (non-linear) invariants may persist, which then show up as fascinating patterns in each agent's Bloch-sphere. Such patterns disappear, though, if the agents are controlled by different rules. Geometric aspects thus help to understand the interplay between entanglement and decoherence.
REVTEX, to appear in Proceedings of Decoherence Workshop, Bielefeld, 1998
REVTEX, to appear in Proceedings of Decoherence Workshop, Bielefeld, 1998