Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates\\ with Optimal Control in a Trapped Ion

Abstract

Quantum computation with quantum gates induced by geometric phases is regarded as a promising strategy in fault tolerant quantum computation, due to its robustness against operational noises. However, because of the parametric restriction of previous schemes, the main robust advantage of holonomic quantum gates is smeared. Here, we experimentally demonstrate a solution scheme, demonstrating nonadiabatic holonomic single qubit quantum gates with optimal control in a trapped Yb ion based on three level systems with resonant drives, which also hold the advantages of fast evolution and convenient implementation. Compared with corresponding previous geometric gates and conventional dynamic gates, the superiority of our scheme is that it is more robust against control amplitude errors, which is confirmed by the measured gate infidelity through both quantum process tomography and random benchmarking methods. In addition, we also outline that nontrivial two qubit holonomic gates can also be realized within current experimental technologies. Therefore, our experiment validates the feasibility for this robust and fast holonomic quantum computation strategy.

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• Realizing nonadiabatic holonomic quantum computation beyond the three-level setting
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• High-fidelity geometric quantum gates with short paths on superconducting circuits
• Ultrafast Holonomic Quantum Gates
• Decoherence-Suppressed Non-adiabatic Holonomic Quantum Computation
• Atom-Orbital Qubits under Holonomic Quantum Control
• Accelerated super-robust nonadiabatic holonomic quantum gates
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• Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity
• Error-Tolerant Geometric Quantum Control for Logical Qubits with Minimal Resource
• Implementation of geometric quantum gates on microwave-driven semiconductor charge qubits
• Optimizing nonadiabatic geometric quantum gates against off-resonance error by dynamical correction in a silicon-based spin qubit
• Fast high-fidelity geometric gates for singlet-triplet qubits
• Quantum computation in silicon-vacancy centers based on nonadiabatic geometric gates protected by dynamical decoupling
• Non-adiabatic holonomic quantum operations in continuous variable systems
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• State-independent geometric quantum gates via nonadiabatic and noncyclic evolution
• Exact quantum dynamics for two-level systems with time-dependent driving
• Robustness Enhancement of Universal Noncyclic Geometric Gates via Evolution Optimization
• Speeding up adiabatic holonomic quantum gates via $\pi$-pulse modulation
• Experimental implementation of universal holonomic quantum computation on solid-state spins with optimal control