Ito’s Formula for the Discrete-Time Quantum Walk in Two Dimensions

• 作者: Clement Ampadu
• 来源期刊: 量子信息科学期刊(英文)
• 学科: 数学
• 关键词: QUANTUM RANDOM WALK Ito’s FORMULA BROWNIAN Motion
• 年，卷（期）: 2012,（2）
• 页码范围: 41-47
• 页数: 7页
• 分类号: O1

摘要

Following Konno [1], it is natural to ask: What is the Ito’s formula for the discrete time quantum walk on a graph different than Z, the set of integers? In this paper we answer the question for the discrete time quantum walk on Z2, the square lattice.