Nonadiabatic geometric quantum gates that are insensitive to qubit-frequency drifts

Abstract

Quantum manipulation based on geometric phases provides a promising way towards robust quantum gates. However, in the current implementation of nonadiabatic geometric phases, operational and/or random errors tend to destruct the conditions that induce geometric phases, thereby smearing their noise-resilient feature. In a recent experiment [Y. Xu et al., Phys. Rev. Lett. 124, 230503 (2020)], high-fidelity universal geometric quantum gates have been implemented in a superconducting circuit, which are robust to different types of errors under different configurations of the geometric evolution paths. Here, we apply the path-design strategy to explain in detail why both configurations can realize universal quantum gates in a single-loop way. Meanwhile, we purposefully induce our geometric manipulation by selecting the path configuration that is robust against the qubit-frequency-drift induced error, which is the dominant error source on realistic superconducting circuits and has not been deliberately addressed. Moreover, our proposal can further integrate with the composite scheme to enhance the gate robustness, which is verified by numerical simulations. Therefore, our scheme provides a promising way towards practical realization of high-fidelity and robust nonadiabatic geometric quantum gates.

9 pages, 7 figures

References in corpus (14)

• Charge insensitive qubit design derived from the Cooper pair box
• Simple pulses for elimination of leakage in weakly nonlinear qubits
• Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
• Robustness of non-adiabatic holonomic gates
• Universal stabilization of a parametrically coupled qubit
• Rydberg-atom-based scheme of nonadiabatic geometric quantum computation
• Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
• Composite nonadiabatic holonomic quantum computation
• Operator fidelity susceptibility: an indicator of quantum criticality
• On the stability of quantum holonomic gates
• General approach for constructing Hamiltonians for nonadiabatic holonomic quantum computation
• Nonadiabatic geometric quantum computation in decoherence-free subspaces based on unconventional geometric phases
• Robust and Fast Holonomic Quantum Gates with Encoding on Superconducting Circuits
• Geometric quantum gates with superconducting qubits