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Minimal time robust control for two superconducting qubits.

Niril George1, Joseph L Allen2, Robert Kosut3,4,5

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Robust optimal control strategies enable fast, high-fidelity quantum gates in superconducting systems. These methods maintain accuracy despite system parameter uncertainties, crucial for fault-tolerant quantum computing.

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Area of Science:

  • Quantum Computing
  • Quantum Information Science
  • Superconducting Circuits

Background:

  • Decoherence limits quantum gate fidelity in superconducting systems.
  • Optimal control methods often overlook realistic parameter uncertainties.

Purpose of the Study:

  • To develop robust optimal control strategies for high-fidelity quantum gates.
  • To assess the impact of parameter uncertainties on gate performance.
  • To identify minimal control times for experimentally feasible quantum operations.

Main Methods:

  • Utilized robust optimal control to design cross-resonance gates.
  • Investigated gate performance under varying parameter uncertainties (static and time-dependent).
  • Generated control pulses with durations of 64 ns, 71 ns, and 100 ns.

Main Results:

  • Achieved high fidelities ([Formula: see text]) with 64 ns gates, robust to 10% parameter uncertainty.
  • Attained fidelities ([Formula: see text]) with 71 ns gates, robust to 3% parameter uncertainty.
  • Demonstrated 100 ns gates ([Formula: see text]) robust to 10% static error and strong time-dependent noise.

Conclusions:

  • Robust optimal control offers a viable open-loop strategy for fast, high-fidelity quantum gates.
  • This approach mitigates performance degradation from realistic system uncertainties.
  • Results provide guidelines for minimal control times and maximum allowable parameter errors.