Hamiltonian tomography by the quantum quench protocol with random noise

TL;DR

This paper presents a quantum quench protocol for Hamiltonian tomography in multi-qubit systems that remains effective despite random noise, using local measurements and analyzing fidelity and correlations.

Contribution

It introduces a robust framework for Hamiltonian reconstruction under noise using local measurements and the quantum quench protocol, applicable to multi-qubit systems.

Findings

Fidelity of reconstruction decreases with increasing noise.

The protocol's accuracy correlates with the number of quantum state pairs.

The method is effective for transverse field Ising and heteronuclear Hamiltonians.

Abstract

In this article, we introduce a framework for Hamiltonian tomography of multi-qubit systems with random noise. We adopt the quantum quench protocol to reconstruct a many-body Hamiltonian by local measurements that are distorted by random unitary operators and time uncertainty. In particular, we consider a transverse field Ising Hamiltonians describing interactions of two spins $1/2$ and three-qubit Hamiltonians of a heteronuclear system within the radio-frequency field. For a sample of random Hamiltonians, we report the fidelity of reconstruction versus the amount of noise quantified by two parameters. Furthermore, we discuss the correlation between the accuracy of Hamiltonian tomography and the number of pairs of quantum states involved in the framework. The results provide valuable insight into the robustness of the protocol against random noise.