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Unitary equivalent classes of one-dimensional quantum walks
Ohno, Hiromichi
© The Author 2016. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Quantum walk
Szegedy walk
One-dimensional quantum walk
Unitary equivalence
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)
Springer Verlag
2016-06-14
eng
journal article
VoR
http://hdl.handle.net/10091/00021214
https://soar-ir.repo.nii.ac.jp/records/20456
https://doi.org/10.1007/s11128-016-1361-5
10.1007/s11128-016-1361-5
1570-0755
AA11856042
Quantum Information Processing
15
9
3599
3617
https://soar-ir.repo.nii.ac.jp/record/20456/files/25800061_02.pdf
application/pdf
510.3 kB
2019-02-15