MONODROMY APPROACH TO QUANTUM COMPUTING

DOI10.1142/S0217979202014607zbMath1073.81535MaRDI QIDQ5312095

G. K. Giorgadze

Publication date: 30 August 2005

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

holonomyqubitFuchsian systemmonodromy representationQuantum gatesRiemann--Hilbert problem

Mathematics Subject Classification ID

Quantum computation (81P68) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

Related Items

Elementary integral series for Heun functions: Application to black-hole perturbation theory ⋮ Monodromy of Fuchsian systems on complex linear spaces ⋮ Monodromy of Veselov-Kohno-Cherednik \(R\)-systems ⋮ Analytic methods in quantum computing ⋮ Quantum computation with scattering matrices ⋮ Monodromy matrices as universal set of quantum gates and dynamics of cold trapped ions

Cites Work

• Current algebras and Wess-Zumino model in two dimensions
• Some monodromy representations of generalized braid groups
• Holonomic quantum computation
• \(G\)-systems and holomorphic principal bundles on Riemann surfaces
• Quantal phase factors accompanying adiabatic changes
• Quantum theory, the Church–Turing principle and the universal quantum computer
• Quantum computations: algorithms and error correction

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