Randomized benchmarking in the analogue setting

Ellen Derbyshire, Jorge Yago Malo, Andrew Daley, Elham Kashefi, Petros Wallden

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

Current development in programmable analogue quantum simulators (AQS), whose physical im- plementation can be realised in the near-term compared to those of large-scale digital quantum computers, highlights the need for robust testing techniques in analogue platforms. Methods to properly certify or benchmark AQS should be efficiently scalable, and also provide a way to deal with errors from state preparation and measurement (SPAM). Up to now, attempts to address this combination of requirements have generally relied on model-specific properties. We put forward a new approach, applying a well-known digital noise characterisation technique called randomized benchmarking (RB) to the analogue setting. RB is a scalable experimental technique that provides a measure of the average error-rate of a gate-set on a quantum hardware, incorporating SPAM errors. We present the original form of digital RB, the necessary alterations to translate it to the analogue setting and introduce the analogue randomized benchmarking protocol (ARB). In ARB we measure the average error-rate per time evolution of a family of Hamiltonians and we illustrate this protocol with two case-studies of analogue models; classically simulating the system by incorporating several physically motivated noise scenarios. We find that for the noise models tested, the data fit with the theoretical predictions and we gain values for the average error rate for differing unitary sets. We compare our protocol with other relevant RB methods, where both advantages (physically motivated unitaries) and disadvantages (difficulty in reversing the time-evolution) are discussed.
Original languageEnglish
Article number034001
Number of pages25
JournalQuantum Science and Technology
Issue number3
Early online date11 Mar 2020
Publication statusPublished - 23 Apr 2020

Keywords / Materials (for Non-textual outputs)

  • analogue quantum simulation
  • randomized benchmarking
  • approximate unitary t-designs


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