Frame Superposition Cluster: The method to derive the transition matrices in high accuracy

TL;DR

This paper introduces the Frame Superposition Cluster (FSC) method, a novel approach to accurately derive transition matrices in quantum systems by efficiently utilizing superposition states, improving upon existing techniques for NISQ devices.

Contribution

The paper presents the FSC method, enabling high-accuracy calculation of transition matrices between states derived by VQE, reducing gate operations needed for NISQ quantum computers.

Findings

FSC achieves higher accuracy in dipole transition moment calculations.

FSC reduces the number of gate operations compared to traditional methods.

The method is effective for NISQ device applications.

Abstract

Variational Quantum Eigensolver (VQE) method is the way to derive the wave functions from their eigen energies using quantum computers. But, the methods to utilize the superposition states between them haven't been developed yet. The method to calculate the off diagonal element of observables between two states derived by VQE method requires large numbers of gate operations for Noisy Intermediate Scale Quantum (NISQ) devices. We proposed the novel method to drive the superposition state between the states the derived by VQE method. We call it Frame superposition cluster (FSC) method. Using the method, we confirmed that dipole transition moment could be calculated with the highest accuracy compared to other methods.