Composite Short-path Nonadiabatic Holonomic Quantum Gates

Abstract

Nonadiabatic holonomic quantum computation (NHQC) has attracted significant attention due to its fast evolution and the geometric nature induced resilience to local noises. However, its long operation time and complex physical implementation make it hard to surpass the dynamical scheme, and thus hindering its wide application. Here, we present to implement NHQC with the shortest path under some conditions, through the inverse Hamiltonian engineering technique, which posseses higher fidelity and stronger robustness than previous NHQC schemes. Meanwhile, the gate performance in our scheme can be further improved by using the proposed composite dynamical decoupling pulses, which can efficiently improve both the gate fidelity and robustness, making our scheme outperform the optimal dynamical scheme in certain parameters range. Remarkably, our scheme can be readily implemented with Rydberg atoms, and a simplified implementation of the controlled-not gate in the Rydberg blockade regime can be achieved. Therefore, our scheme represents a promising progress towards future fault-tolerant quantum computation in atomic systems.

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Cited by in corpus (9)

• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• Decoherence-Suppressed Non-adiabatic Holonomic Quantum Computation
• State-independent Nonadiabatic Geometric Quantum Gates
• Nonadiabatic holonomic quantum computation based on commutation relation
• Nonadiabatic Holonomic Quantum Computation via Path Optimization
• Dynamical-Corrected Nonadiabatic Geometric Quantum Computation
• Speeding up adiabatic holonomic quantum gates via $\pi$-pulse modulation
• Error-mitigated initialization of surface codes with non-Pauli stabilizers
• Mitigation of systematic amplitude error in nonadiabatic holonomic operations