Hamiltonian tomography by the quantum quench protocol with random noise

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.

Precise Hamiltonian identification of a superconducting quantum processor

“…Developing custom-tailored characterization tools for analog quantum simulators requires hardware developments as well as theoretical analysis and method development. Sev-eral theoretical methods have been proposed that allow learning a partially unknown Hamiltonian from data for qubits [9][10][11][12][13][14] and bosonic systems [15,16]. Very recently, learning of two-qubit dissipative Lindblad dynamics has been demonstrated [17,18].…”