Analysis of State Teleportation using Noisy Quantum Gates

TL;DR

This paper analytically examines how various noise processes impact quantum state teleportation fidelity, revealing polynomial decay with noise strength and robustness in low noise conditions.

Contribution

It provides a detailed analysis of noise effects on teleportation fidelity, offering insights for error mitigation in quantum computing.

Findings

Fidelity decreases polynomially with increasing noise strength.

In low noise regimes, fidelity decreases linearly, showing robustness.

Different noise types affect fidelity similarly, with some variations.

Abstract

Noise is a major challenge in quantum computing, affecting the reliability of quantum protocols. In this work, we analytically study the impact of various noise processes, such as depolarization, bit flip, and phase flip, on the quantum state teleportation protocol. Each noise process is modeled as a quantum channel and is applied individually to all qubits after the corresponding unitary operations to simulate realistic conditions. We evaluate the fidelity between the ideal and noisy teleported states to quantify the effect of noise. Our analysis shows that the fidelity decreases polynomially, in general, as the noise strength increases for all noise types, highlighting the sensitivity of state teleportation to different noise mechanisms. However, in the low noise regime, the fidelity decreases only linearly, indicating the robustness of the teleportation protocol. These results provide insight into error characterization and can inform strategies for noise mitigation in practical quantum computing applications.