Implementation of three-qubit Toffoli gates via the Heisenberg XY model in coupled cavities

Abstract

We propose a distributed quantum architecture (three atoms trapped in three coupled cavities) to construct an asymmetric spin 1/2 Heisenberg XY model. The effective atom–atom coupling is obtained with the cavity modes and the atomic excited states being virtually populated. We then demonstrate that the model can be used for implementing a three-qubit Toffoli gate with high fidelity. The feasibility and effectiveness of our scheme as well as the influences of decoherence effects (the atomic spontaneous emission and the cavity decay) on the gate fidelity are finally discussed. The scheme can be generalized for distributed quantum computation with the Heisenberg XY model.

Keywords:

• Toffoli gate
• Heisenberg XY model
• coupled cavities

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by the National Basic Research Program of China [grant number 2012CB921601]; the National Natural Science Foundation of China [grant number 11247283], [grant number 11305037], [grant number 11347114], and [grant number 11374054]; the Natural Science Foundation of Fujian Province [grant number 2013J01012]; and the Fund from Fuzhou University.