Robustness of non-adiabatic holonomic gates

TL;DR

This paper analyzes the robustness of non-adiabatic holonomic quantum gates against errors and open system effects, showing that short pulses enhance error resilience but are limited by physical approximations, with comparisons to adiabatic gates.

Contribution

It provides a detailed analysis of error resilience in non-adiabatic holonomic gates and compares their robustness to adiabatic gates, highlighting the importance of pulse duration.

Findings

Short pulses improve error resilience of the gates.

There is a physical limit to how short pulses can be made.

Non-adiabatic gates can be more robust than adiabatic ones under certain conditions.

Abstract

The robustness to different sources of error of the scheme for non-adiabatic holonomic gates proposed in [New J. Phys. {\bf 14}, 103035 (2012)] is investigated. Open system effects as well as errors in the driving fields are considered. It is found that the gates can be made error resilient by using sufficiently short pulses. The principal limit of how short the pulses can be made is given by the breakdown of the quasi-monochromatic approximation. A comparison with the resilience of adiabatic gates is carried out.