Operating a geometric quantum gate by external controllable parameters

doi:10.1088/1674-1056/19/1/010311

Abstract A scheme to perfectly preserve an initial qubit state in geometric quantum computation is proposed for a single-qubit geometric quantum gate in a nuclear magnetic resonance system. At first, by adjusting some magnetic field parameters, one can let the dynamic phase be proportional to the geometric phase. Then, by controlling the azimuthal angle in the initial state, we may realize a geometric quantum gate whose fidelity is equal to one under cyclic evolution. This means that the quantum information is no distortion in the process of geometric quantum computation.

Keywords: geometric phase geometric quantum gate fidelity

Received: 20 May 2009
Revised: 06 June 2009
Accepted manuscript online:

PACS:	03.67.Lx	(Quantum computation architectures and implementations)
	02.40.-k	(Geometry, differential geometry, and topology)
	03.65.Vf	(Phases: geometric; dynamic or topological)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10864002).

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Ji Ying-Hua(嵇英华), Cai Shi-Hua(蔡十华), Le Jian-Xin(乐建新), and Wang Zi-Sheng(王资生) Operating a geometric quantum gate by external controllable parameters 2010 Chin. Phys. B 19 010311

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