Quantum Holonomy based in a Kaluza-Klein description for defects in $C_{60}$ fullerenes

Abstract

In this paper, we discuss a new way to get a quantum holonomy around topological defects in $C_{60}$ fullerenes. For this, we use a Kaluza-Klein extra dimension approach. Furthermore, we discuss how an extra dimension could promote the formation of new freedom degrees which would open a discussion about a possible qubits computation.

References in corpus (19)

• The electronic properties of graphene
• Gauge fields in graphene
• Holonomic Quantum Computation
• Geometric quantum computation with NMR
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• The Electronic Spectrum of Fullerenes from the Dirac Equation
• Topological phase due to electric dipole moment and magnetic monopole interaction
• Topological Phases in Graphitic Cones
• Quantum Holonomies for Quantum Computing
• Holonomic quantum computation with neutral atoms
• Geometric Phases in Graphitic Cones
• Optical Holonomic Quantum Computer
• Manifestations of topological effects in graphene
• The continuum gauge field-theory model for low-energy electronic states of icosahedral fullerenes
• Kaluza-Klein description of geometric phases in graphene
• Continuous symmetry of C60 fullerene and its derivatives
• Stability of holonomic quantum computations
• Topological Features in Ion Trap Holonomic Computation
• Quantum holonomies with Josephson-junction devices