Quantum simulation of Pauli channels and dynamical maps: algorithm and implementation

TL;DR

This paper introduces a quantum algorithm for simulating Pauli channels and dynamical maps, extending quantum noise modeling capabilities with practical implementation on IBM quantum computers.

Contribution

It presents a novel quantum algorithm for simulating Pauli channels and dynamical maps, including conditions for parametrized circuit implementation and experimental validation.

Findings

Successful implementation on IBM quantum hardware for one qubit

Fidelity measurements demonstrate practical viability

Mathematical conditions for parametrized transformations established

Abstract

Pauli channels are fundamental in the context of quantum computing as they model the simplest kind of noise in quantum devices. We propose a quantum algorithm for simulating Pauli channels and extend it to encompass Pauli dynamical maps (parametrized Pauli channels). A parametrized quantum circuit is employed to accommodate for dynamical maps. We also establish the mathematical conditions for an N-qubit transformation to be achievable using a parametrized circuit where only one single-qubit operation depends on the parameter. The implementation of the proposed circuit is demonstrated using IBM's quantum computers for the case of one qubit, and the fidelity of this implementation is reported.