The two-qubit amplitude damping channel: characterization using quantum stabilizer codes

TL;DR

This paper introduces a quantum error correction-based protocol for characterizing two-qubit amplitude damping channels, capturing correlated and independent noise effects using a 5-qubit stabilizer code.

Contribution

It develops a novel QECCD method employing a 5-qubit code that saturates the quantum Hamming bound for two-qubit process tomography.

Findings

The protocol effectively characterizes dissipative two-qubit dynamics.

It analyzes how noise correlation depends on evolution time and qubit separation.

The method distinguishes between correlated and independent noise processes.

Abstract

A protocol based on quantum error correction based characterization of quantum dynamics (QECCD) is developed for quantum process tomography on a two-qubit system interacting dissipatively with a vacuum bath. The method uses a 5-qubit quantum error correcting code that corrects arbitrary errors on the first two qubits, and also saturates the quantum Hamming bound. The dissipative interaction with a vacuum bath allows for both correlated and independent noise on the two-qubit system. We study the dependence of the degree of the correlation of the noise on evolution time and inter-qubit separation.