Quantum Noise Filtering via Cross-Correlations

TL;DR

This paper introduces a quantum noise filtering method inspired by classical cross-correlation techniques, using non-trace-preserving operators to reduce quantum noise, especially phase flip noise, in quantum states.

Contribution

It presents a novel quantum noise filtering scheme based on quantum cross-correlations, bridging classical signal processing concepts with quantum information theory.

Findings

Demonstrates a quantum analog of classical noise attenuation schemes

Shows effectiveness in reducing phase flip noise in quantum states

Provides a simple construction for quantum cross-correlations

Abstract

Motivated by successful classical models for noise reduction, we suggest a quantum technique for filtering noise out of quantum states. The purpose of this paper is twofold: presenting a simple construction of quantum cross-correlations between two wave-functions, and presenting a scheme for a quantum noise filtering. We follow a well-known scheme in classical communication theory that attenuates random noise, and show that one can build a quantum analog by using non-trace-preserving operators. By this we introduce a classically motivated signal processing scheme to quantum information theory, which can help reducing quantum noise, and particularly, phase flip noise.