2012/09/23 by Alexander C. R. Belton, Belton, Alexander C. R.
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Advanced Thermodynamics and Statistical Mechanics
paper · pdf · doi:10.48550/arxiv.1209.5059
A convergence theorem is obtained for quantum random walks with particles in an arbitrary normal state. This result unifies and extends previous work on repeated-interactions models, including that of the author (2010, J. London Math. Soc. (2) 81, 412-434; 2010, Comm. Math. Phys. 300, 317-329). When the random-walk generator acts by ampliation and multiplication or conjugation by a unitary operator, necessary and sufficient conditions are given for the quantum stochastic cocycle which arises in the limit to be driven by an isometric, co-isometric or unitary process.