Detection of energy levels of a spin system on a quantum computer by probe spin evolution

TL;DR

This paper introduces a quantum computing method that detects energy levels of various spin systems using only the evolution of a single probe spin, demonstrating its effectiveness on IBM's quantum hardware.

Contribution

The paper presents a novel approach for determining energy levels of spin systems via probe spin evolution, enabling efficient analysis on current quantum computers.

Findings

Energy levels of multiple spin systems were successfully identified.

Results agree with theoretical predictions.

Method shows potential for quantum supremacy in eigenvalue problems.

Abstract

We propose a method for detection of energy levels of arbitrary spin system on a quantum computer based on studies of evolution of only one probe spin. On the basis of the proposed method energy levels of spin systems are found on IBM's quantum computer ibmq-bogota, among them are spin chain in magnetic field, triangle spin cluster, Ising model on squared lattice in magnetic field. The results of quantum calculations are in agreement with the theoretical ones. The method is efficient for estimation of the energy levels of many-spin systems and opens a possibility to achieve quantum supremacy in solving eigenvalue problem with development of multi-qubit quantum computers.