Experimental Realization of Nonadiabatic Holonomic Quantum Computation

TLDR

Holonomic quantum computation, fault‑tolerant to certain control errors due to its geometric nature, has been proposed for over a decade but remains experimentally unrealized. The study reports the first experimental demonstration of nonadiabatic holonomic quantum computation using liquid‑state NMR processors. High‑fidelity non‑adiabatic evolution of work and ancillary qubits implements two non‑commuting single‑qubit rotations (about x and z) and a two‑qubit holonomic CNOT gate. The successful implementation of these universal gates confirms the experimental feasibility of fast, resilient non‑adiabatic holonomic quantum computing.

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.