Probing mean values and correlations of high-spin systems on a quantum computer

TL;DR

This paper develops protocols for measuring mean values and correlations in high-spin systems on quantum computers, demonstrating their effectiveness through experiments with spin-1 particles and extending the methods to arbitrary spins.

Contribution

It introduces new measurement protocols for high-spin systems on quantum computers and demonstrates their application to spin-1 particles and general spins.

Findings

Successfully measured spin-1 mean values and correlations on IBM quantum computers.

Observed time evolution of spin-1 and two-spin correlations during simulations.

Generalized protocols for arbitrary spin values are proposed and validated.

Abstract

We consider simulation of the high spins on a quantum computer. The protocols which allow one to measure the mean value of spin and correlations between spins are proposed. As a result, we determine the time dependence of the mean values of spin-1 in the magnetic field prepared on the ibmq-santiago quantum computer. In addition, we study the evolution of two interacting spins on the ibmq-lima quantum computer. The time-dependencies of the mean value of spin-1 and correlations between these spins are detected. Finally, we generalize these protocols for the spins of arbitrary values.