Demonstration of Shor encoding on a trapped-ion quantum computer

ORAL

Abstract

Quantum error correction is crucial for constructing a fault-tolerant quantum computer. By employing redundancy, error-correcting codes protect logical qubits against errors at the physical-qubit-level during state preparation, operations and measurement. Here we demonstrate an encoding of a logical qubit with the Shor code, which detects and corrects single-qubit bit-flip and phase-flip errors, on a trapped ion system. Using nine physical qubits, we prepare a logical state $\ket{0}$ with $98.75\%$ fidelity and a logical state $\ket{1}$ with $98.51\%$ fidelity after correction with majority voting. We further investigate the robustness of the logical qubit and shows data extrapolating its performance to deeper encodings.

–

Authors

  • Nhung Nguyen

    • Joint Quantum Institute, Department of Physics, University of Maryland, College Park, MD 20742, USA

  • Ken Brown

    • Departments of Electrical and Computer Engineering, Chemistry, and Physics, Duke University, Durham, NC 27708, USA

  • Daiwei Zhu

    • Joint Quantum Institute, Department of Physics, University of Maryland, College Park, MD 20742, USA

  • Cinthia Alderete

    • Joint Quantum Institute, Department of Physics, University of Maryland, College Park, MD 20742, USA

  • Chris Monroe

    • Joint Quantum Institute, Department of Physics, University of Maryland, College Park, MD 20742, USA

  • Norbert Linke

    • Joint Quantum Institute, Department of Physics, University of Maryland, College Park, MD 20742, USA