Experimental Quantum Hamiltonian Identification from Measurement Time Traces

TL;DR

This paper demonstrates the experimental implementation and benchmarking of a quantum Hamiltonian identification algorithm using NMR systems, showing its effectiveness and robustness in practical scenarios.

Contribution

The first experimental realization of a quantum Hamiltonian identification algorithm on NMR systems, including data processing and analysis of decoherence effects.

Findings

Algorithm successfully identified Hamiltonians in NMR experiments

Demonstrated robustness against decoherence through simulations

Validated effectiveness of the identification method in practical conditions

Abstract

Identifying Hamiltonian of a quantum system is of vital importance for quantum information processing. In this Letter, we realized and benchmarked a quantum Hamiltonian identification algorithm recently proposed [Phys. Rev. Lett. \textbf{113}, 080401 (2014)]. we realized the algorithm on liquid nuclear magnetic resonance quantum information processor using two different working media with different forms of Hamiltonian. Our experiment realized the quantum identification algorithm based on free induction decay signals. We also showed how to process data obtained in practical experiment. We studied the influence of decoherence by numerical simulations. Our experiments and simulations demonstrate that the algorithm is effective and robust.