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Universal fault-tolerant operation of a logical qubit in silicon

ORAL

Abstract

Fault-tolerant quantum computation offers a path to perform high-fidelity quantum information processing from noisy components, where logical errors can be suppressed to arbitrarily low rates using quantum error correction. We demonstrate universal fault-tolerant quantum operations with a logical qubit in a silicon quantum device. In this presentation, we will discuss the control and calibration techniques used for manipulating Schrödinger spin-cat qubit encoded on the spin-7/2 nucleus of an antimony (123Sb) atom [1], and highlight potential applications of high-dimensional systems for quantum error correction. Utilizing a phase-corrected logical qubit, we implement fault-tolerant quantum circuits for logical encoding and decoding, quantum error correction, as well as universal gates, exploiting a way to circumvent the restrictions of the Eastin-Knill no-go theorem without additional resources [2]. We realize high-fidelity logical state preparation and measurement, show extension of logical lifetime with quantum error correction, and implement universal fault-tolerant gates with better-than-physical qubit performance while maintaining more than 90% acceptance rate. Our results present the logical control of an atom in a semiconducting device for fault-tolerant quantum computation with low overhead.

[1] Xi Yu et al. Creation and manipulation of Schrödinger cat states of a nuclear spin qudit in silicon. 2024. arXiv: 2405.15494 [quant-ph].

[2] Pragati Gupta, Andrea Morello, and Barry C. Sanders. Universal transversal gates. 2024. arXiv: 2410.07045 [quant-ph].

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Presenters

  • Pragati Gupta

    University of Calgary, University of New South Wales & University of Calgary

Authors

  • Pragati Gupta

    University of Calgary, University of New South Wales & University of Calgary

  • Mark Van Blankenstein

    University of New South Wales

  • Xi Yu

    University of New South Wales

  • Benjamin Wilhelm

    University of New South Wales

  • Danielle Holmes

    University of New South Wales, University of Melbourne

  • Arjen Vaartjes

    University of New South Wales

  • Daniel Schwienbacher

    University of New South Wales

  • Martin Nurizzo

    UNSW

  • Anders Kringhoej

    University of New South Wales

  • Alexander M Jakob

    The University of Melbourne, University of Melbourne

  • Fay Hudson

    UNSW, Diraq, University of New South Wales & Diraq, University of New South Wales, University of New South Wales, Sydney

  • Kohei M Itoh

    Keio Univ

  • David Norman Jamieson

    University of Melbourne

  • Andrew S Dzurak

    University of New South Wales

  • Barry Cyril Sanders

    University of Calgary

  • Andrea Morello

    University of New South Wales