Experimental Realization of Nonadiabatic Holonomic Quantum Computation

Abstract

Due to its geometric nature, holonomic quantum computation is fault-tolerant against certain types of control errors. Although proposed more than a decade ago, the experimental realization of holonomic quantum computation is still an open challenge. In this Letter, we report the first experimental demonstration of nonadiabatic holonomic quantum computation in liquid NMR quantum information processors. Two non-commuting holonomic single-qubit gates, rotations about x-axis and about z-axis, and the two-qubit holonomic control-NOT gate are realized with high fidelity by evolving the work qubits and an ancillary qubit nonadiabatically. The successful realization of these universal elementary gates in nonadiabatic quantum computing demonstrates the experimental feasibility and the fascinating feature of this fast and resilient quantum computing paradigm.

5 pages and 5 figures. New experiments added. Accepted for publication in PRL

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Cited by in corpus (180)

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• Experimental implementation of universal nonadiabatic geometric quantum gates in a superconducting circuit
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• Superadiabatic Controlled Evolutions and Universal Quantum Computation
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• Geometric phases in quantum information
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• Continuous-variable geometric phase and its manipulation for quantum computation in a superconducting circuit
• Single-Loop and Composite-Loop Realization of Nonadiabatic Holonomic Quantum Gates in a Decoherence-Free Subspace
• Quantum Computation in Noiseless Subsystems with Fast Non-Abelian Holonomies
• Nonadiabatic geometric quantum computation with parametrically tunable coupling
• Holonomic quantum computation in the ultrastrong-coupling regime of circuit QED
• A Quantum Algorithm for Solving Linear Differential Equations: Theory and Experiment
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• Nonadiabatic holonomic single-qubit gates in off-resonant $\Lambda$ systems
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• Comparison of the sensitivity to systematic errors between non-adiabatic non-Abelian geometric gates and their dynamical counterparts
• Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
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• Realization of efficient quantum gates with a superconducting qubit-qutrit circuit
• Composite nonadiabatic holonomic quantum computation
• Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum Gates\\ with Optimal Control in a Trapped Ion
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• Multiple multi-control unitary operations: implementation and applications
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• Semiclassical quantization of nonadiabatic systems with hopping periodic orbits
• Entangling power of holonomic gates in atom-cavity systems
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• Geometric Manipulation of a Decoherence-Free Subspace in Atomic Ensembles
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• Interaction induced non-reciprocal three-level quantum transport
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• Multiphoton controllable transport between remote resonators
• Deterministic photonic entanglement arising from non-Abelian quantum holonomy
• Robustness Enhancement of Universal Noncyclic Geometric Gates via Evolution Optimization
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• Spin-Boson Model to Demonstrate Quantum Tunneling in Biomolecules using IBM Quantum Computer
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• Experimental implementation of universal holonomic quantum computation on solid-state spins with optimal control
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• Universal quantum gates for photon-atom hybrid systems assisted by bad cavities