Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates with Two Dark Paths in a Trapped Ion

Abstract

For circuit-based quantum computation, experimental implementation of universal set of quantum logic gates with high-fidelity and strong robustness is essential and central. Quantum gates induced by geometric phases, which depend only on global properties of the evolution paths, have built-in noise-resilience features. Here, we propose and experimentally demonstrate nonadiabatic holonomic single-qubit quantum gates on two dark paths in a trapped ${}^{171}{\mathrm{Yb}}^{+}$ ion based on four-level systems with resonant drives. We confirm the implementation with measured gate fidelity through both quantum process tomography and randomized benchmarking methods. Meanwhile, we find that nontrivial holonomic two-qubit quantum gates can also be realized within current experimental technologies. Compared with previous implementations on three-level systems, our experiment share both the advantage of fast nonadiabatic evolution and the merit of robustness against systematic errors, and thus retains the main advantage of geometric phases. Therefore, our experiment confirms a promising method for fast and robust holonomic quantum computation.

13 pages, 5 figures

References in corpus (9)

• Randomized Benchmarking of Quantum Gates
• Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
• Optical holonomic single quantum gates with a geometric spin under a zero field
• Robustness of non-adiabatic holonomic gates
• Single-loop multiple-pulse nonadiabatic holonomic quantum gates
• Composite nonadiabatic holonomic quantum computation
• On the stability of quantum holonomic gates
• Non-Abelian holonomic transformation in the presence of classical noise
• Robust paths to realize nonadiabatic holonomic gates

Cited by in corpus (13)

• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• Quantum simulation of a general anti-PT-symmetric Hamiltonian with a trapped ion qubit
• Decoherence-Suppressed Non-adiabatic Holonomic Quantum Computation
• Accelerated super-robust nonadiabatic holonomic quantum gates
• Geometric quantum gates via dark paths in Rydberg atoms
• Dark path holonomic qudit computation
• Optimizing nonadiabatic geometric quantum gates against off-resonance error by dynamical correction in a silicon-based spin qubit
• Entangling distant systems via universal nonadiabatic passage
• Investigation of Floquet engineered non-Abelian geometric phase for holonomic quantum computing
• Universal quantum control with dynamical correction
• Spin Vector Potential and Spin Aharonov-Bohm Effect
• State-independent geometric quantum gates via nonadiabatic and noncyclic evolution
• Speeding up adiabatic holonomic quantum gates via $\pi$-pulse modulation