Correcting errors in a quantum gate with pushed ions via optimal control

Abstract

We analyze in detail the so-called "pushing gate" for trapped ions, introducing a time dependent harmonic approximation for the external motion. We show how to extract the average fidelity for the gate from the resulting semi-classical simulations. We characterize and quantify precisely all types of errors coming from the quantum dynamics and reveal for the first time that slight nonlinearities in the ion-pushing force can have a dramatic effect on the adiabaticity of gate operation. By means of quantum optimal control techniques, we show how to suppress each of the resulting gate errors in order to reach a high fidelity compatible with scalable fault-tolerant quantum computing.

Published i PRA

References in corpus (6)

• Optimal Control at the Quantum Speed Limit
• Quantum limits to dynamical evolution
• Fidelity of quantum operations
• Loading a Bose-Einstein Condensate onto an Optical Lattice: an Application of Optimal Control Theory to The Non Linear Schrödinger Equation
• Precision measurement and compensation of optical Stark shifts for an ion-trap quantum processor
• Realistic fast quantum gates with hot trapped ions

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• Qudit entanglers using quantum optimal control
• Optimal State Manipulation for a Two-Qubit System Driven by Coherent and Incoherent Controls
• Fast and robust quantum computation with ionic Wigner crystals