Quantum deconvolution

TL;DR

This paper introduces a stable quantum deconvolution method for removing noise from measurements in quantum many-body systems, utilizing a quantum Fisher information metric and applicable to n-point functions in quantum field theory.

Contribution

It develops a novel quantum deconvolution technique based on the quantum Fisher information metric, enabling stable noise removal in quantum measurements, especially for Gaussian states.

Findings

Effective deconvolution for n-point functions in quantum field theory

Stable noise removal using quantum Fisher information metric

Applicable to translation invariant noise in quantum systems

Abstract

We propose a method for stably removing noise from measurements of a quantum many-body system. The question is cast to a linear inverse problem by using a quantum Fischer information metric as figure of merit. This requires the ability to compute the adjoint of the noise channel with respect to the metric, which can be done analytically when the metric is evaluated at a Gaussian (quasi-free) state. This approach can be applied effectively to n-point functions of a quantum field theory. For translation invariant noise, this yields a stable deconvolution method on the first moments of the field which differs from what one would obtain from a purely classical analysis.