Limit Theorems for Quantum Walks on the Union of Planes

Abstract

We extend the construction given by [Chisaki et.al, arXiv:1009.1306v1] from lines to planes, and obtain the associated limit theorems for quantum walks on such a graph.

22 pages

References in corpus (8)

• Wigner formula of rotation matrices and quantum walks
• Quantum central limit theorem for continuous-time quantum walks on odd graphs in quantum probability theory
• Asymptotic evolution of quantum walks on the $N$-cycle subject to decoherence on both the coin and position degrees of freedom
• Limit Theorems For Quantum Walks Associated with Hadamard Matrices
• Quantum random walks and thermalisation
• Limit Theorems For the Grover Walk Without Memory
• Limit Theorems for the Fibonacci Quantum Walk
• Continuous-Time Quantum Walks on Trees in Quantum Probability Theory