Fast entangling gates in long ion chains

Abstract

We present a model for implementing fast entangling gates ($\sim 1\mu$s) with ultra-fast pulses in arbitrarily long ion chains, that requires low numbers of pulses and can be implemented with laser repetition rates well within experimental capability. We demonstrate that we are able to optimise pulse sequences that have theoretical fidelities above $99.99\%$ in arbitrarily long ion-chains, for laser repetition rates on the order of $100-300$~MHz. Notably, we find higher repetition rates are not required for gates in longer ion chains, which is in contrast to scaling analyses with other gate schemes. When pulse imperfections are considered in our calculations, we find that achievable gate fidelity is independent of the number of ions in the chain. We also show that pulse control requirements do not scale up with the number of ions. We find that population transfer efficiencies of above $99.9\%$ from individual ultra-fast pulses is the threshold for realising high-fidelity gates, which may be achievable in near-future experiments.

References in corpus (26)

• Experimental issues in coherent quantum-state manipulation of trapped atomic ions
• Quantum computing with trapped ions
• Quantum computation with ions in thermal motion
• Multi-particle entanglement of hot trapped ions
• Entanglement and quantum computation with ions in thermal motion
• Demonstration of a small programmable quantum computer with atomic qubits
• Fast and robust two-qubit gates for scalable ion trap quantum computing
• Fast quantum logic gates with trapped-ion qubits
• Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
• Assessing the progress of trapped-ion processors towards fault-tolerant quantum computation
• Ultrafast Gates for Single Atomic Qubits
• Large Scale Quantum Computation in an Anharmonic Linear Ion Trap
• Cryogenic Trapped-Ion System for Large Scale Quantum Simulation
• Ion trap quantum gates with amplitude-modulated laser beams
• Arbitrary-speed quantum gates within large ion crystals through minimum control of laser beams
• Coherent control of trapped ions using off-resonant lasers
• Two-qubit entangling gates within arbitrarily long chains of trapped ions
• Demonstration of two-atom entanglement with ultrafast optical pulses
• Pulsed force sequences for fast phase-insensitive quantum gates in trapped ions
• Scaling Trapped Ion Quantum Computers Using Fast Gates and Microtraps
• Optimised fast gates for quantum computing with trapped ions
• Trapped ion scaling with pulsed fast gates
• A Study on Fast Gates for Large-Scale Quantum Simulation with Trapped Ions
• Ultrafast coherent excitation of a Ca${}^{+}$ ion
• Ultrafast, high repetition rate, ultraviolet, fiber based laser source: application towards Yb+ fast quantum-logic
• Scalable quantum computation with fast gates in two-dimensional microtrap arrays of trapped ions

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• High-speed and high-connectivity two-qubit gates in long chains of trapped ions
• Error-Resilient Fast Entangling Gates for Scalable Ion-Trap Quantum Processors