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

摘要

We discuss holonomic quantum computation based on the scalar Aharonov-Bohm effect for a neutral particle. We show that the interaction between the magnetic dipole moment and external fields yields a non-abelian quantum phase allowing us to make any arbitrary rotation on a one-qubit. Moreover, we show that the interaction between the magnetic dipole moment and a magnetic field in the presence of a topological defect yields an analogue effect of the scalar Aharonov-Bohm effect for a neutral particle, and a new way of building one-qubit quantum gates.