Qudit States in Noisy Quantum Channels

TL;DR

This paper investigates how various noisy quantum channels affect qudit states, analyzing fidelity and coherence changes both analytically and numerically, with implications for quantum information robustness.

Contribution

It provides a comprehensive analysis of multiple noise types on qudit states, extending the understanding of noise effects beyond qubits with explicit relations to hypergraph states.

Findings

Fidelity decreases under all studied noise channels.

Coherence is significantly affected by non-Markovian noise.

Analytical and numerical methods confirm noise impact on qudit states.

Abstract

In this work, we analyze a number of noisy quantum channels on a family of qudit states. The channels studied are the dit-flip noise, phase flip noise, dit-phase flip noise, depolarizing noise, non-Markovian Amplitude Damping Channel (ADC), dephasing noise, and depolarization noise. To gauge the effect of noise, the fidelity between the original and the final states is studied. The change of coherence under the action of noisy channels is also studied, both analytically and numerically. Our approach is advantageous as it has an explicit relation to the original approach to the multi-qubit hypergraph states.