Abstract
Large-scale digital quantum simulations require thousands of fundamental entangling gates to construct the simulated dynamics. Despite success in a variety of small-scale simulations, quantum information processing platforms have hitherto failed to demonstrate the combination of precise control and scalability required to systematically outmatch classical simulators. We analyse how fast gates could enable trapped-ion quantum processors to achieve the requisite scalability to outperform classical computers without error correction. We analyze the performance of a large-scale digital simulator, and find that fidelity of around 70% is realizable for π-pulse infidelities below 10−5 in traps subject to realistic rates of heating and dephasing. This scalability relies on fast gates: entangling gates faster than the trap period.
Highlights
Quantum simulation promises the ability to study the dynamics of highly complex quantum systems using more accessible and controllable systems[1,2,3]
The latter implies that large-scale quantum simulations could be performed without error correction, bringing nearer the solutions for problems in condensed matter, quantum chemistry, and high-energy physics, which are infeasible to classical computers
Fast gates have been proposed as a superior two-qubit gate for trapped ion quantum information processing, being much faster than existing gates and robust to many sources of error
Summary
Trapped Ions received: 17 February 2017 accepted: 10 March 2017 Published: 12 April 2017. We analyze the performance of a large-scale digital simulator, and find that fidelity of around 70% is realizable for π-pulse infidelities below 10−5 in traps subject to realistic rates of heating and dephasing This scalability relies on fast gates: entangling gates faster than the trap period. Each simulator platform has its own advantages and challenges - cold atoms scale well but are difficult to control individually, whereas trapped ions and superconducting circuits face scaling difficulties but have experimentally-demonstrated individual control and readout techniques[11] Both trapped ions[12,13,14,15,16,17] and superconducting circuits[18,19,20] have demonstrated great potential for implementing digital quantum simulations, using to date up to nine qubits. Our results motivate the pursuit of fast gates as a critical scaling tool for trapped-ion computing architectures
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