Fast phase gates with trapped ions

Abstract

We implement faster-than-adiabatic two-qubit phase gates using smooth state-dependent forces. The forces are designed to leave no final motional excitation, independently of the initial motional state in the harmonic, small-oscillations limit. They are simple, explicit functions of time and the desired logical phase of the gate, and are based on quadratic invariants of motion and Lewis-Riesenfeld phases of the normal modes.

arXiv comment14 pages, 9 figures

References in corpus (19)

• Quantum computation with ions in thermal motion
• Entanglement and quantum computation with ions in thermal motion
• Fast optimal frictionless atom cooling in harmonic traps
• Shortcuts to adiabaticity
• Optimally robust shortcuts to population inversion in two-level quantum systems
• Robust quantum control by shaped pulse
• Unconventional geometric quantum computation
• Fast atomic transport without vibrational heating
• Multi-Element Logic Gates for Trapped-Ion Qubits
• Phase Control of Trapped Ion Quantum Gates
• Scaling Ion Trap Quantum Computation through Fast Quantum Gates
• Coherent control of trapped ions using off-resonant lasers
• Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors
• Pulsed force sequences for fast phase-insensitive quantum gates in trapped ions
• Fast shuttling of a trapped ion in the presence of noise
• Fast transport of mixed-species ion chains within a Paul trap
• Realistic fast quantum gates with hot trapped ions
• Fast gates for ion traps by splitting laser pulses
• Geometric quantum gate for trapped ions based on optical dipole forces induced by Gaussian laser beams

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