Single-atom verification of the noise-resilient and fast characteristics of universal nonadiabatic noncyclic geometric quantum gates

TL;DR

This paper experimentally demonstrates that nonadiabatic noncyclic geometric quantum gates are faster and more noise-resilient than traditional methods, confirmed through high-fidelity operations on a single trapped ion.

Contribution

First experimental verification of the noise-resilient and fast features of NNGQC in a single trapped ion system, highlighting its potential for accelerated quantum computing.

Findings

NNGQC exhibits higher fidelities than NGQC and dynamical gates.

Experimental evidence of noise resilience in NNGQC.

Faster quantum gate implementation with limited systematic errors.

Abstract

Quantum gates induced by geometric phases are intrinsically robust against noise due to their global properties of the evolution paths. Compared to conventional nonadiabatic geometric quantum computation (NGQC), the recently proposed nonadiabatic noncyclic geometric quantum computation (NNGQC) works in a faster fashion, while still remaining the robust feature of the geometric operations. Here, we experimentally implement the NNGQC in a single trapped ultracold $^{40}$Ca$^{+}$ ion for verifying the noise-resilient and fast feature. By performing unitary operations under imperfect conditions, we witness the advantages of the NNGQC with measured fidelities by quantum process tomography in comparison with other two quantum gates by conventional NGQC and by straightforwardly dynamical evolution. Our results provide the first evidence confirming the possibility of accelerated quantum information processing with limited systematic errors even in the imperfect situation.