Quantal interferometry with dissipative internal motion

Abstract

In presence of dissipation, quantal states may acquire complex-valued phase effects. We suggest a notion of dissipative interferometry that accommodates this complex-valued structure and that may serve as a tool for analyzing the effect of certain kinds of external influences on quantal interference. The concept of mixed-state phase and concomitant gauge invariance is extended to dissipative internal motion. The resulting complex-valued mixed-state interference effects lead to well-known results in the unitary limit and in the case of dissipative motion of pure quantal states. Dissipative interferometry is applied to fault-tolerant geometric quantum computation.

Slight revision, journal reference added

References in corpus (4)

• Geometric phases for non-degenerate and degenerate mixed states
• Holonomic quantum computation with neutral atoms
• Spin-1/2 geometric phase driven by decohering quantum fields
• Topological Features in Ion Trap Holonomic Computation

Cited by in corpus (6)

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• Complex magnetic monopoles, geometric phases and quantum evolution in vicinity of diabolic and exceptional points
• Geometric phase of neutrino propagating through dissipative matter
• Quantum trajectory approach to the geometric phase: open bipartite systems
• Mixed-state geometric phases of coherent and squeezed spin states
• Uhlmann and scalar Wilczek-Zee phases of degenerate quantum systems