@article{oai:soar-ir.repo.nii.ac.jp:00020456,
 author = {Ohno, Hiromichi},
 issue = {9},
 journal = {Quantum Information Processing},
 month = {Jun},
 note = {This study investigates unitary equivalent classes of one-dimensional quantum walks. We prove that one-dimensional quantum walks are unitary equivalent to quantum walks of Ambainis type and that translation-invariant one-dimensional quantum walks are Szegedy walks. We also present a necessary and sufficient condition for a one-dimensional quantum walk to be a Szegedy walk., Article, Quantum Information Processing.15(9):3599-3617(2016)},
 pages = {3599--3617},
 title = {Unitary equivalent classes of one-dimensional quantum walks},
 volume = {15},
 year = {2016}
}