Simultaneous reconstruction of quantum process and noise via corrupted sensing

TL;DR

This paper introduces a new framework for quantum process tomography that can simultaneously reconstruct quantum processes and corrupted noise, reducing experimental complexity.

Contribution

It develops a novel approach using Choi-state and process-matrix representations to enable joint reconstruction of quantum processes and noise under sparse conditions.

Findings

Achieves simultaneous reconstruction of quantum gates and noise with fewer measurements.

Demonstrates the effectiveness of the method under sparse noise conditions.

Reduces experimental configurations needed for quantum process characterization.

Abstract

Quantum processes, including quantum gates and channels, are integral to various quantum information tasks, making the efficient characterization of these processes and their underlying noise critically important. Here, we propose a framework for quantum process tomography in the presence of corrupted noise that is able to simultaneously reconstruct the process and corrupted noise. Firstly, within the Choi-state representation, we derive the corresponding generalized restricted isometry property and demonstrate the simultaneous reconstruction of various quantum gates under sparse noise. Moreover, in comparison with the Choi-state scheme, the process-matrix representation is employed to simultaneously reconstruct sparse noise and a broader range of target quantum gates. Our results demonstrate that significant reduction in experimental configurations is achievable even under corrupted noise.