Geometric phases for mixed states in interferometry

Abstract

We provide a physical prescription based on interferometry for introducing the total phase of a mixed state undergoing unitary evolution, which has been an elusive concept in the past. We define the parallel transport condition that provides a connection-form for obtaining the geometric phase for mixed states. The expression for the geometric phase for mixed state reduces to well known formulas in the pure state case when a system undergoes noncyclic and unitary quantum evolution.

Two column, 4 pages, Latex file, No figures, Few changes

References in corpus (2)

• Geometric quantum computation with NMR
• Noncyclic geometric phase and its non-Abelian generalization

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