Improved Error-Scaling for Adiabatic Quantum State Transfer

TL;DR

This paper introduces a technique to significantly enhance the accuracy of adiabatic quantum state transfer by optimizing evolution time, achieving quadratic error reduction and robustness in practical quantum systems.

Contribution

The authors propose a novel method for improving adiabatic state transfer accuracy, applicable to realistic Hamiltonians, with demonstrated quadratic error reduction in specific quantum algorithms and gates.

Findings

Quadratic error reduction in adiabatic search algorithms

Enhanced robustness of adiabatic quantum gates

Applicable to existing experimental setups

Abstract

We present a technique that dramatically improves the accuracy of adiabatic state transfer for a broad class of realistic Hamiltonians. For some systems, the total error scaling can be quadratically reduced at a fixed maximum transfer rate. These improvements rely only on the judicious choice of the total evolution time. Our technique is error-robust, and hence applicable to existing experiments utilizing adiabatic passage. We give two examples as proofs-of-principle, showing quadratic error reductions for an adiabatic search algorithm and a tunable two-qubit quantum logic gate.