Quantum search on graphene lattices

Foulger, Ian; Gnutzmann, Sven; Tanner, Gregor

Abstract

We present a continuous-time quantum search algorithm on a graphene lattice. This provides the sought- after implementation of an efficient continuous-time quantum search on a two-dimensional lattice. The search uses the linearity of the dispersion relation near the Dirac point and can find a marked site on a graphene lattice faster than the corresponding classical search. The algorithm can also be used for state transfer and communication.

Citation

Foulger, I., Gnutzmann, S., & Tanner, G. (2014). Quantum search on graphene lattices. Physical Review Letters, 112, Article 070504. https://doi.org/10.1103/PhysRevLett.112.070504

• Journal Article Type: Article
• Acceptance Date: Feb 21, 2014
• Publication Date: Feb 21, 2014
• Deposit Date: Sep 27, 2017
• Publicly Available Date: Sep 27, 2017
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 112
• Article Number: 070504
• DOI: https://doi.org/10.1103/PhysRevLett.112.070504
• Public URL: https://nottingham-repository.worktribe.com/output/722915
• Publisher URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.070504