Probing quantum coherence in qubit arrays

TL;DR

This paper proposes a method to quantify quantum coherence in interacting qubit arrays by observing population localization effects under periodic driving, applicable even when direct probing is infeasible.

Contribution

It introduces a novel approach to detect quantum coherence through localization effects that persist beyond simple models, supported by analytical and numerical analysis of superconducting flux qubit chains.

Findings

Localization effects indicate quantum coherence in qubit arrays.

The scheme is robust against noise and disorder.

Observable in realistic experimental conditions.

Abstract

We discuss how the observation of population localization effects in periodically driven systems can be used to quantify the presence of quantum coherence in interacting qubit arrays. Essential for our proposal is the fact that these localization effects persist beyond tight-binding Hamiltonian models. This result is of special practical relevance in those situations where direct system probing using tomographic schemes becomes infeasible beyond a very small number of qubits. As a proof of principle, we study analytically a Hamiltonian system consisting of a chain of superconducting flux qubits under the effect of a periodic driving. We provide extensive numerical support of our results in the simple case of a two-qubits chain. For this system we also study the robustness of the scheme against different types of noise and disorder. We show that localization effects underpinned by quantum coherent interactions should be observable within realistic parameter regimes in chains with a larger number of