Randomized benchmarking in the analogue setting

Derbyshire, E. and Malo, J. Yago and Daley, A. J. and Kashefi, E. and Wallden, P. (2020) Randomized benchmarking in the analogue setting. Quantum Science and Technology, 5 (3). 034001. (https://doi.org/10.1088/2058-9565/ab7eec)

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Abstract

Current development in programmable analogue quantum simulators (AQS), whose physical implementation 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.

ORCID iDs

Derbyshire, E., Malo, J. Yago ORCID logoORCID: https://orcid.org/0000-0001-5588-9183, Daley, A. J. ORCID logoORCID: https://orcid.org/0000-0001-9005-7761, Kashefi, E. and Wallden, P.;
  • Item type:Article
    ID code:72833
    Dates:
    Date
    Event
    31 July 2020
    Published
    23 April 2020
    Published Online
    11 March 2020
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:18 Jun 2020 15:24
    Last modified:20 Nov 2024 07:05
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/72833
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