Cyclotomy and Ramanujan sums in quantum phase locking

DOI10.1016/S0375-9601(03)00942-3zbMath1098.81748arXivmath-ph/0309022OpenAlexW4304532564MaRDI QIDQ1399042

Haret C. Rosu, Michel Planat

Publication date: 10 August 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0309022

zbMATH Keywords

quantum entanglementfinite Hilbert spacePegg-Barnett type phase operator

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15)

Related Items (4)

On the polynomial Ramanujan sums over finite fields ⋮ Ramanujan sums as supercharacters ⋮ FRACTAL SUPERSYMMETRIC QM, GEOMETRIC PROBABILITY AND THE RIEMANN HYPOTHESIS ⋮ HUYGHENS, BOHR, RIEMANN AND GALOIS: PHASE-LOCKING

Cites Work

• A \(C^*\)-dynamical system with Dedekind zeta partition function and spontaneous symmetry breaking
• Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory
• Extreme forms and cyclotomy
• Universal Algorithm for Optimal Estimation of Quantum States from Finite Ensembles via Realizable Generalized Measurement
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