@article {IOPORT.06102629, author = {Ide, Yusuke and Konno, Norio and Segawa, Etsuo}, title = {Time averaged distribution of a discrete-time quantum walk on the path.}, year = {2012}, journal = {Quantum Information Processing}, volume = {11}, number = {5}, issn = {1570-0755}, pages = {1207-1218}, publisher = {Springer, Dordrecht}, doi = {10.1007/s11128-012-0424-5}, abstract = {Summary: The discrete time quantum walk which is a quantum counterpart of the random walk plays an important role in the theory of quantum information theory. In the present paper, we focus on discrete time quantum walks viewed as quantization of random walks on a path. We obtain a weak limit theorem for the time averaged distribution of our quantum walks.}, identifier = {06102629}, }