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

详细信息    查看全文

• 作者：Knut Bakke ; ^{kbakke@fisica.ufpb.br} ; Claudio Furtado ^{furtado@fisica.ufpb.br}
• 关键词：Scalar Aharonov&ndash ; Bohm effect ; Permanent magnetic dipole moment ; Geometric phases ; Topological defects ; Anandan quantum phase ; Holonomic quantum computation
• 刊名：Annals of Physics
• 出版年：2012
• 出版时间：February 2012
• 年：2012
• 卷：327
• 期：2
• 页码：376-385
• 全文大小：230 K

文摘

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.