Quantum Private Comparison over noisy channels

TL;DR

This paper investigates the impact of noise on quantum private comparison protocols and introduces a noise-resistant protocol based on CSS codes that maintains security under various attack models.

Contribution

It provides an analysis of noise effects on existing protocols and proposes a new CSS code-based protocol that enhances robustness and security in noisy quantum channels.

Findings

Noise significantly affects EPR-based QPC robustness

CSS code-based protocol improves noise tolerance

Protocol remains secure under general attacks

Abstract

Quantum Private Comparison (QPC) allows us to protect private information during its comparison. In the past various three-party quantum protocols have been proposed that claim to work well under noisy conditions. Here we tackle the problem of QPC under noise. We analyze the EPR-based protocol under depolarizing noise, bit flip and phase flip noise. We show how noise affects the robustness of the EPR-based protocol. We then present a straightforward protocol based on CSS codes to perform QPC which is robust against noise and secure under general attacks.