Details
| Original language | English |
|---|---|
| Article number | 85 |
| Number of pages | 12 |
| Journal | Letters in mathematical physics |
| Volume | 112 |
| Issue number | 5 |
| Early online date | 29 Aug 2022 |
| Publication status | Published - Oct 2022 |
Abstract
We provide an algorithm that factorizes one-dimensional quantum walks on an arbitrary but fixed cell structure into a protocol of two basic operations: a fixed conditional shift that transports particles between cells and suitable coin operators that act locally in each cell. This allows to tailor quantum walk protocols to any experimental set-up by rephrasing it on the cell structure determined by the experimental limitations. We give the example of a walk defined on a qutrit chain compiled to run on a qubit chain.
Keywords
- Banded operator, Cell structure, Factorization theory, Quantum walk, Shift–coin protocol, Unitary lattice dynamics
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
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In: Letters in mathematical physics, Vol. 112, No. 5, 85, 10.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An algorithm to factorize quantum walks into shift and coin operations
AU - Cedzich, C.
AU - Geib, T.
AU - Werner, R. F.
N1 - Funding Information: C. Cedzich was supported in part by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under the grant number 441423094. T. Geib and R. F. Werner acknowledge support from the DFG through SFB 1227 DQ-mat. Open Access funding enabled and organized by Projekt DEAL.
PY - 2022/10
Y1 - 2022/10
N2 - We provide an algorithm that factorizes one-dimensional quantum walks on an arbitrary but fixed cell structure into a protocol of two basic operations: a fixed conditional shift that transports particles between cells and suitable coin operators that act locally in each cell. This allows to tailor quantum walk protocols to any experimental set-up by rephrasing it on the cell structure determined by the experimental limitations. We give the example of a walk defined on a qutrit chain compiled to run on a qubit chain.
AB - We provide an algorithm that factorizes one-dimensional quantum walks on an arbitrary but fixed cell structure into a protocol of two basic operations: a fixed conditional shift that transports particles between cells and suitable coin operators that act locally in each cell. This allows to tailor quantum walk protocols to any experimental set-up by rephrasing it on the cell structure determined by the experimental limitations. We give the example of a walk defined on a qutrit chain compiled to run on a qubit chain.
KW - Banded operator
KW - Cell structure
KW - Factorization theory
KW - Quantum walk
KW - Shift–coin protocol
KW - Unitary lattice dynamics
UR - http://www.scopus.com/inward/record.url?scp=85137186805&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2102.12951
DO - 10.48550/arXiv.2102.12951
M3 - Article
AN - SCOPUS:85137186805
VL - 112
JO - Letters in mathematical physics
JF - Letters in mathematical physics
SN - 0377-9017
IS - 5
M1 - 85
ER -