Path-optimized nonadiabatic geometric quantum computation on superconducting qubits

Abstract

Quantum computation based on nonadiabatic geometric phases has attracted a broad range of interests, due to its fast manipulation and inherent noise resistance. However, it is limited to some special evolution paths, and the gate-times are typically longer than conventional dynamical gates, resulting in weakening of robustness and more infidelities of the implemented geometric gates. Here, we propose a path-optimized scheme for geometric quantum computation on superconducting transmon qubits, where high-fidelity and robust universal nonadiabatic geometric gates can be implemented, based on conventional experimental setups. Specifically, we find that, by selecting appropriate evolution paths, the constructed geometric gates can be superior to their corresponding dynamical ones under different local errors. Numerical simulations show that the fidelities for single-qubit geometric Phase, $\pi /8$ and Hadamard gates can be obtained as $99.93\%$, $99.95\%$ and $99.95\%$, respectively. Remarkably, the fidelity for two-qubit control-phase gate can be as high as $99.87\%$. Therefore, our scheme provides a new perspective for geometric quantum computation, making it more promising in the application of large-scale fault-tolerant quantum computation.

12 pages, 9 figures. v1: fisrt submitted version; v2: accepted version

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Cited by in corpus (15)

• State-independent Nonadiabatic Geometric Quantum Gates
• Nonadiabatic geometric quantum computation with shortened path on superconducting circuits
• Universal Robust Geometric Quantum Control via Geometric Trajectory Correction
• Nonadiabatic geometric quantum gates with on-demand trajectories
• Nonadiabatic Holonomic Quantum Computation via Path Optimization
• Error-Tolerant Geometric Quantum Control for Logical Qubits with Minimal Resource
• Robust nonadiabatic geometric quantum computation by dynamical correction
• Fast high-fidelity geometric gates for singlet-triplet qubits
• Geometric phases along quantum trajectories
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• Engineered Robustness for Nonadiabatic Geometric Quantum Gates