Microscopic derivation of open quantum walk on two node graph

Abstract

A microscopic derivation of an open quantum walk on a two node graph is presented. It is shown that for the considered microscopic model of the system-bath interaction the resulting quantum master equation takes the form of a generalized master equation. The explicit form of the "quantum coin" operators is derived. The formalism is demonstrated for the example of a two-level system walking on a two-node graph.

10 pages, 2 figures

References in corpus (4)

• Universal computation by quantum walk
• Decoherence in quantum walks - a review
• Non-Markovian generalization of the Lindblad theory of open quantum systems
• Quantum Optical Random Walk: Quantization Rules and Quantum Simulation of Asymptotics

Cited by in corpus (2)

• Microscopic derivation of Open Quantum Walks
• A Generalized Quantum Optical Scheme for Implementing Open Quantum Walks