Quantum computation using the Aharonov-Casher set up

Abstract

It is argued that the Aharonov-Casher set up could be used as the basic building block for quantum computation. We demonstrate explicitly in this scenario one- and two-qubit phase shift gates that are fault tolerant to deformations of the path when encircling two sites of the computational system around each other.

3 pages, 2 figures, minor changes, journal reference added

References in corpus (2)

• Geometric Manipulation of Trapped Ions for Quantum Computation
• Non-adiabatic conditional geometric phase shift with NMR

Cited by in corpus (7)

• Thermodynamic properties of neutral particle in presence of Topological defects in Magnetic Cosmic String Background
• Relativistic Landau-Aharonov-Casher quantization based on the Lorentz symmetry violation background
• Bound states for a Coulomb-type potential induced by the interaction between a moving electric quadrupole moment and a magnetic field
• Quantum gates with topological phases
• An angular frequency dependence on the Aharonov-Casher geometric phase
• Missing Aharonov-Casher geometric quantum phase
• The Aharonov-Casher phase is geometrical and not topological