Memory-induced geometric phase in non-Markovian open systems

Abstract

Geometric phases have been shown to be feasible in implementing quantum gates to perform quantum information processing. For all the realistic applications, the environmental influence on the geometric phase and decoherence such as memory effects must be properly considered in order to achieve the required precision in geometric quantum computation. In this paper, we study the geometric phase for a generic open quantum system based on a microscopic model. A remarkable feature of the open system's geometric phase obtained from our theoretical formulation is that the geometric phase can be obtained regardless of the existence of the master equations, while the environmental noise features such as memory effects are fully accounted for. We demonstrate that the geometric phases for a general open quantum system can be fundamentally modified by its non-Markovian environments.

7 pages, 3 figures

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Cited by in corpus (8)

• Environment-assisted holonomic quantum maps
• Geometry of quantum evolution in a nonequilibrium environment
• Geometric phase accumulated in a driven quantum system coupled to an structured environment
• Geometric decoherence in diffusive open quantum systems
• Boundary-induced effect encoded in the corrections to the geometric phase acquired by a bipartite two-level system
• Self-protected adiabatic quantum computation
• Unitary Evolutions Sourced By Interacting Quantum Memories: Closed Quantum Systems Directing Themselves Using Their State Histories
• Geometric signature of non-Markovian dynamics