Please use this identifier to cite or link to this item: 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
Appears in Collections:Publicaciones Científicas Nanociencias y Materiales

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