Limit Theorems For the Grover Walk Without Memory

2011/08/20 by Ampadu, Clement
#81T25 #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1108.4149

Abstract

We consider the Grover walk as a 4-state quantum walk without memory in one dimension. The walker in our 4-state quantum walk moves to the left or right. We compute the stationary distribution of the walk, in addition, we obtain the weak limit theorem

Related

• Limit theorems for quantum walks with memory
• Limit theorems of a 3-state quantum walk and its application for discrete uniform measures
• Limit Theorems for the Disordered Quantum Walk
• Stationary measures for the three-state Grover walk with one defect in one dimension
• Weak limit theorem for a nonlinear quantum walk