Randomized benchmarking of single and multi-qubit control in liquid-state NMR quantum information processing - Quantum Physics

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Abstract: Being able to quantify the level of coherent control in a proposed deviceimplementing a quantum information processor QIP is an important task forboth comparing different devices and assessing a device-s prospects withregards to achieving fault-tolerant quantum control. We implement in aliquid-state nuclear magnetic resonance QIP the randomized benchmarkingprotocol presented by Knill et al PRA 77: 012307 2008. We report an errorper randomized $\frac{\pi}{2}$ pulse of $1.3 \pm 0.1 \times 10^{-4}$ with asingle qubit QIP and show an experimentally relevant error model where therandomized benchmarking gives a signature fidelity decay which is not possibleto interpret as a single error per gate. We explore and experimentallyinvestigate multi-qubit extensions of this protocol and report an average errorrate for one and two qubit gates of $4.7 \pm 0.3 \times 10^{-3}$ for a threequbit QIP. We estimate that these error rates are still not decoherence limitedand thus can be improved with modifications to the control hardware andsoftware.

Autor: C. A. Ryan, M. Laforest, R. Laflamme

Fuente: https://arxiv.org/