Accurate Error Budgeting for Quantum Error Correction Protocols in Superconducting Qubits

ORAL

Abstract

We present a framework for high-accuracy error-budget analysis of Quantum Error Correction (QEC) protocols. Our approach involves a systematic analysis of contributions from various QEC failure modes, which is based on a probabilistic model derived from the system's full quantum-mechanical dynamics. We discuss the key assumptions under which the model is accurate and quantitatively bound the approximation error. As a concrete illustration, we apply the framework to cat-code qubits in superconducting circuits, incorporating pulse-level gate simulations and realistic noise modeling via Lindblad master equations. Our results show quantitative agreement between the analytical error budget and full quantum simulations and can help identify performance bottlenecks and enable efficient optimization of both device and QEC protocol parameters.

*This material is based upon work supported by the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Co-design Center for Quantum Advantage (C2QA) under Contract Number DESC0012704.

Presenters

  • Danyang Chen

    • Northwestern University

Authors

  • Danyang Chen

    • Northwestern University
  • Rohan N Rajmohan

    • Northwestern University
  • Sean van Geldern

    • University of Massachusetts Amherst
  • Tali Shemma

    • Weizmann Institute of Science
    • Princeton University
  • Andrew A Houck

    • Princeton University
  • Chen Wang

    • University of Massachusetts Amherst
  • Jens Koch

    • Northwestern University