Author:
Cedzich C.,Geib T.,Werner R. F.
Abstract
AbstractWe 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.
Funder
Deutsche Forschungsgemeinschaft
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Reference46 articles.
1. Ambainis, A., Kempe, J., Rivosh, A.: Coins make quantum walks faster. In: SODA. SIAM, pp. 1099–1108 (2005). arXiv:quant-ph/0402107
2. Apers, S., Sarlette, A., Ticozzi, F.: Simulation of quantum walks and fast mixing with classical processes. Phys. Rev. A 98, 032115 (2018). arXiv:1712.01609
3. Arrighi, P.: An overview of quantum cellular automata. Nat. Comput. 18(4), 885–899 (2019). arXiv:1904.12956
4. Arrighi, P., Nesme, V., Werner, R.: Unitarity plus causality implies localizability. J. Comput. Syst. Sci. 77(2), 372–378 (2011). arXiv:0711.3975
5. Asbóth, J.K.: Symmetries, topological phases, and bound states in the one-dimensional quantum walk. Phys. Rev. B 86(19), 195414 (2012). arXiv:1208.2143
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Index Theory of Chiral Unitaries and Split-Step Quantum Walks;Symmetry, Integrability and Geometry: Methods and Applications;2023-07-28