Distributed quantum approximate counting algorithm

TL;DR

This paper introduces a distributed quantum approximate counting algorithm that leverages Grover's operator, demonstrating advantages in qubit efficiency, circuit depth, and gate count through simulations on the Qiskit platform.

Contribution

The paper presents a novel distributed quantum algorithm for counting problems that improves resource efficiency and applicability in the NISQ era.

Findings

Effective estimation of inner products and Hamming distances

Reduced qubit and circuit resource requirements

Validated through simulations on Qiskit platform

Abstract

In this article, we propose a distributed quantum algorithm for solving counting problem using Grover operator and a classical post-processing procedure. We apply the proposed algorithm to estimate inner products and Hamming distances. Simulations are conducted on the Qisikit platform, further demonstrating the effectiveness of our algorithm and its suitability for the NISQ era. Compared to existing counting algorithms, the proposed algorithm has advantages in terms of the number of qubits, circuit depth, and the number of quantum gates.