  The general framework of entropic dynamics is used to formulate a relational
quantum dynamics. The main new idea is to use tools of information geometry to
develop an entropic measure of the mismatch between successive configurations
of a system. This leads to an entropic version of the classical best matching
technique developed by J. Barbour and collaborators. The procedure is
illustrated in the simple case of a system of N particles with global
translational symmetry. The generalization to other symmetries whether global
(rotational invariance) or local (gauge invariance) is straightforward. The
entropic best matching allows a quantum implementation Mach's principles of
spatial and temporal relationalism and provides the foundation for a method of
handling gauge theories in an informational framework.
