A possible hypercomputational quantum algorithm
| dc.contributor.author | Sicard, A | |
| dc.contributor.author | Velez, M | |
| dc.contributor.author | Ospina, J | |
| dc.contributor.department | Universidad EAFIT. Departamento de Ciencias | spa |
| dc.contributor.researchgroup | Lógica y Computación | spa |
| dc.creator | Sicard, A | |
| dc.creator | Velez, M | |
| dc.creator | Ospina, J | |
| dc.date.accessioned | 2021-03-26T21:35:20Z | |
| dc.date.available | 2021-03-26T21:35:20Z | |
| dc.date.issued | 2005-01-01 | |
| dc.description.abstract | The term `hypermachine' denotes any data processing device (theoretical or that can be implemented) capable of carrying out tasks that cannot be performed by a Turing machine. We present a possible quantum algorithm for a classically non-computable decision problem, Hilbert's tenth problem; more specifically, we present a possible hypercomputation model based on quantum computation. Our algorithm is inspired by the one proposed by Tien D. Kieu, but we have selected the infinite square well instead of the (one-dimensional) simple harmonic oscillator as the underlying physical system. Our model exploits the quantum adiabatic process and the characteristics of the representation of the dynamical Lie algebra su(1, 1) associated to the infinite square well. | eng |
| dc.identifier | https://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=2070 | |
| dc.identifier.doi | 10.1117/12.602254 | |
| dc.identifier.issn | 0277786X | |
| dc.identifier.issn | 1996756X | |
| dc.identifier.other | WOS;000231558600025 | |
| dc.identifier.uri | http://hdl.handle.net/10784/27410 | |
| dc.language.iso | eng | eng |
| dc.publisher | SPIE-INT SOC OPTICAL ENGINEERING | |
| dc.rights | https://v2.sherpa.ac.uk/id/publication/issn/0277-786X | |
| dc.source | Proceedings of SPIE | |
| dc.subject.keyword | hypercomputation | eng |
| dc.subject.keyword | computability | eng |
| dc.subject.keyword | adiabatic quantum computation | eng |
| dc.subject.keyword | infinite square well | eng |
| dc.subject.keyword | dynamical Lie algebra su(1,1) | eng |
| dc.subject.keyword | Hilbert's tenth problem | eng |
| dc.title | A possible hypercomputational quantum algorithm | eng |
| dc.type | info:eu-repo/semantics/conferencePaper | eng |
| dc.type | conferencePaper | eng |
| dc.type | info:eu-repo/semantics/publishedVersion | eng |
| dc.type | publishedVersion | eng |
| dc.type.local | Documento de conferencia | spa |