Validity of rotating wave approximation in non-adiabatic holonomic quantum computation

TL;DR

This paper investigates the limits of the rotating wave approximation (RWA) in non-adiabatic holonomic quantum gates, showing that RWA can significantly reduce fidelity during fast operations, especially with small energy gaps.

Contribution

It provides a detailed analysis of RWA validity in non-adiabatic holonomic quantum computation, including experimental relevance for superconducting qubits.

Findings

RWA may cause fidelity decline in rapid gate operations

Small energy separation exacerbates RWA inaccuracies

Experimental RWA validity depends on system parameters

Abstract

We examine the validity of the rotating wave approximation (RWA) in non-adiabatic holonomic single-qubit gates [New J. Phys. {\bf 14}, 103035 (2012)]. We demonstrate that the adoption of RWA may lead to a sharp decline in fidelity for rapid gate implementation and small energy separation between the excited and computational states. The validity of the RWA in the recent experimental realization [Nature (London) {\bf 496}, 482 (2013)] of non-adiabatic holonomic quantum computation for a superconducting qubit is examined.