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http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/955| Cyclotomy and Ramanujan sums in quantum phase locking | |
| Michel Planat HARET CODRATIAN ROSU | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| https://doi.org/10.1016/S0375-9601(03)00942-3 | |
| Cyclotomy Ramanujan sums Phase locking | |
| "Phase-locking governs the phase noise in classical clocks through effects described in precise mathematical terms. We seek here a quantum counterpart of these effects by working in a finite Hilbert space. We use a coprimality condition to define phase-locked quantum states and the corresponding Pegg–Barnett type phase operator. Cyclotomic symmetries in matrix elements are revealed and related to Ramanujan sums in the theory of prime numbers. The employed mathematical procedures also emphasize the isomorphism between algebraic number theory and the theory of quantum entanglement." | |
| Elsevier Science BV | |
| 2003 | |
| Artículo | |
| Inglés | |
| Público en general | |
| Michel Planat, Haret C. Rosu, Cyclotomy and Ramanujan sums in quantum phase locking, In Physics Letters A, Volume 315, Issues 1–2, 2003, Pages 1-5 | |
| FÍSICA | |
| Versión revisada | |
| submittedVersion - Versión revisada | |
| Aparece en las colecciones: | Publicaciones Científicas Nanociencias y Materiales |
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| PhysLettA315(2003)1.pdf | 187.51 kB | Adobe PDF | Visualizar/Abrir |