Error-resilient geometric entangling gates in Rydberg atoms

Quantum computation holds great potential in revolutionizing information processing, with high-fidelity quantum gates serving as the cornerstone for realizing fault-tolerant quantum architectures. Here, we present a robust protocol for implementing high-fidelity entangling gates in Rydberg atomic systems via unconventional geometric quantum control strategies. By removing the stringent zero-dynamical-phase constraint inherent to conventional nonadiabatic geometric quantum computation, our scheme achieves high flexibility in designing driving fields while simultaneously enhancing gate fidelity and resilience against various errors. Notably, our protocol enables direct extension to multiqubit controlled-phase gate construction, with the gate duration remaining independent of the number of qubits involved. The results establish a practical and scalable framework for error-resilient quantum operations in Rydberg platforms, with broad implications for both fault-tolerant quantum computing and the quantum simulation of complex many-body systems.