Quantum search on graphene lattices
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...
| Main Authors: | , , |
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| Format: | Article |
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American Physical Society
2014
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| Online Access: | https://eprints.nottingham.ac.uk/46600/ |
| _version_ | 1848797364522844160 |
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| author | Foulger, Ian Gnutzmann, Sven Tanner, Gregor |
| author_facet | Foulger, Ian Gnutzmann, Sven Tanner, Gregor |
| author_sort | Foulger, Ian |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:02:42Z |
| format | Article |
| id | nottingham-46600 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:02:42Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-466002020-05-04T16:42:54Z https://eprints.nottingham.ac.uk/46600/ Quantum search on graphene lattices Foulger, Ian Gnutzmann, Sven Tanner, Gregor 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. American Physical Society 2014-02-21 Article PeerReviewed Foulger, Ian, Gnutzmann, Sven and Tanner, Gregor (2014) Quantum search on graphene lattices. Physical Review Letters, 112 . 070504/1-070504/5. ISSN 1079-7114 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.070504 doi:10.1103/PhysRevLett.112.070504 doi:10.1103/PhysRevLett.112.070504 |
| spellingShingle | Foulger, Ian Gnutzmann, Sven Tanner, Gregor Quantum search on graphene lattices |
| title | Quantum search on graphene lattices |
| title_full | Quantum search on graphene lattices |
| title_fullStr | Quantum search on graphene lattices |
| title_full_unstemmed | Quantum search on graphene lattices |
| title_short | Quantum search on graphene lattices |
| title_sort | quantum search on graphene lattices |
| url | https://eprints.nottingham.ac.uk/46600/ https://eprints.nottingham.ac.uk/46600/ https://eprints.nottingham.ac.uk/46600/ |