Noise resistance of Toffoli gate in an array of coupled cavities

Abstract

Two schemes of implementing the Toffoli gate are proposed in an array of coupled cavities. In the first one, two classical laser fields with fixed Rabi frequency are used via quantum Zeno dynamics. While in the second scheme, the invariant-based inverse engineering is used to implement the Toffoli gate, which can drive the instantaneous eigenstates to evolve exactly under the Schrödinger equation. The strictly numerical simulations are given and the influences of cavity decay and spontaneous emission on the Toffoli gate operation are analyzed with master equation. The result shows that our schemes for the Toffoli gate are robust against the decoherence because of the short time needed.

Keywords:

• Toffoli gate
• coupled cavities
• quantum Zeno dynamics
• invariant-based inverse engineering

Notes

This work was supported by the National Natural Science Foundation of China [grant number 11105030], [grant number 11374054]; the Major State Basic Research Development Program of China [grant number 2012CB921601]; and the Foundation of Ministry of Education of China [grant number 212085].