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

Journal Article · Thu Jul 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.012339· OSTI ID:21442902

Poulsen, Uffe V; Sklarz, Shlomo; Tannor, David; Calarco, Tommaso ^[1]

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1. Lundbeck Foundation Theoretical Center for Quantum System Research, Department of Physics and Astronomy, Aarhus University, DK 8000 Aarhus C (Denmark)

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 semiclassical simulations. We characterize and quantify precisely all types of errors coming from the quantum dynamics and reveal 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.

• OSTI ID: 21442902
• Journal Information: Physical Review. A, Vol. 82, Issue 1; Other Information: DOI: 10.1103/PhysRevA.82.012339; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
COMPUTERIZED SIMULATION
ERRORS
IONS
NONLINEAR PROBLEMS
OPERATION
OPTIMAL CONTROL
QUANTUM COMPUTERS
QUANTUM MECHANICS
SEMICLASSICAL APPROXIMATION
TIME DEPENDENCE
TRAPPING
APPROXIMATIONS
CALCULATION METHODS
CHARGED PARTICLES
COMPUTERS
CONTROL
MECHANICS
SIMULATION