QUANTUM RANDOM-WALK ON THE DUAL OF SU(N)

• 成果类型: Article
• 署名作者: BIANE, P
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/BF01225828
• 发表日期: 1991
• 页码: 117-129
• 关键词: markov

摘要

We study a quantum random walk on A (SU (n)), the von Neumann algebra of SU (n), obtained by tensoring the basic representation of SU (n). Two classical Markov chains are derived from this quantum random walk, by restriction to commutative subalgebras of A (SU (n)), and the main result of the paper states that these two Markov chains are related by means of Doob's h-processes.