Scalable quantum computation with fast gates in two-dimensional microtrap arrays of trapped ions

Abstract

We theoretically investigate the use of fast pulsed two-qubit gates for trapped ion quantum computing in a two-dimensional microtrap architecture. In one dimension, such fast gates are optimal when employed between nearest neighbours, and we examine the generalisation to a two-dimensional geometry. We demonstrate that fast pulsed gates are capable of implementing high-fidelity entangling operations between ions in neighbouring traps faster than the trapping period, with experimentally demonstrated laser repetition rates. Notably, we find that without increasing the gate duration, high-fidelity gates are achievable even in large arrays with hundreds of ions. To demonstrate the usefulness of this proposal, we investigate the application of these gates to the digital simulation of a 40-mode Fermi-Hubbard model. This also demonstrates why shorter chains of gates required to connect arbitrary pairs of ions makes this geometry well suited for large-scale computation.

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• Digital quantum simulation of an extended Agassi model: Using machine learning to disentangle its phase-diagram
• Fast entangling gates in long ion chains
• Ultra-fast two-qubit ion gate using sequences of resonant pulses
• Fast mixed-species quantum logic gates for trapped-ion quantum networks
• 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