Holonomic quantum computation based on the scalar Aharonov-Bohm effect for neutral particles and linear topological defects

DOI10.1016/j.aop.2011.11.009zbMath1238.81067OpenAlexW2040525108MaRDI QIDQ765782

Knut Bakke, Claudio Furtado

Publication date: 22 March 2012

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2011.11.009

zbMATH Keywords

geometric phasestopological defectspermanent magnetic dipole momentholonomic quantum computationscalar Aharonov-Bohm effectAnandan quantum phase

Mathematics Subject Classification ID

Quantum computation (81P68) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Quantum algorithms and complexity in the theory of computing (68Q12)

Related Items

Nonorthogonality and \(\kappa\)-dependence eccentricity of polarized electromagnetic waves in CPT-even Lorentz violation, On the interaction between an electric quadrupole moment and electric fields, Geometric phases modified by a Lorentz-symmetry violation background, One-qubit quantum gates associated with topological defects in solids, Geometric and holonomic quantum computation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Holonomic quantum computation with superconducting charge-phase qubits in a cavity
• Quantum computation using the Aharonov-Casher set up
• Erratum to: gravitational geometric phase in the presence of torsion
• Stability of holonomic quantum computations
• Holonomic quantum computation
• Theory of defects in solids and three-dimensional gravity
• Geometric phases and quantum computations
• Geometric quantum computation
• Significance of Electromagnetic Potentials in the Quantum Theory
• QUANTUM HOLONOMIES FOR QUANTUM COMPUTING
• Quantal phase factors accompanying adiabatic changes
• Volterra distortions, spinning strings, and cosmic defects
• Maxwell Duality, Lorentz Invariance, and Topological Phase
• Dual Aharonov–Bohm Effect
• GEOMETRIC PHASES AND TOPOLOGICAL QUANTUM COMPUTATION
• On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit
• Physical aspects of the space-time torsion
• Topological Aharonov-Bohm effect in a two-dimensional harmonic oscillator