Density operator description of geometric phenomena in the ray space

APOORVA G WAGH* and VEER CHAND RAKHECHA+

Solid State Physics Division, Bhabha Atomic Research Centre, Mumbai 400~085, India

Email: * nintsspd@magnum.barc.ernet.in; + vcr@apsara.barc.ernet.in

Abstract.

A general gauge-invariant formalism for parallel transport, geodesics and geometric phase based on the pure state density operator is propounded. A single-query quantum search algorithm is proposed.

Keywords: Density operator; quantum search; parallel transport; geometric phase; geodesics.

Pacs No. 03.65.Bz

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