Quantum Machine Learning for Distributed Quantum Protocols with Local Operations and Noisy Classical Communications

Abstract

Distributed quantum information processing protocols such as quantum entanglement distillation and quantum state discrimination rely on local operations and classical communications (LOCC). Existing LOCC-based protocols typically assume the availability of ideal, noiseless, communication channels. In this paper, we study the case in which classical communication takes place over noisy channels, and we propose to address the design of LOCC protocols in this setting via the use of quantum machine learning tools. We specifically focus on the important tasks of quantum entanglement distillation and quantum state discrimination, and implement local processing through parameterized quantum circuits (PQCs) that are optimized to maximize the average fidelity and average success probability in the respective tasks, while accounting for communication errors. The introduced approach, Noise Aware-LOCCNet (NA-LOCCNet), is shown to have significant advantages over existing protocols designed for noiseless communications.

Published in Entropy journal. arXiv admin note: substantial text overlap with arXiv:2205.08561

References in corpus (5)

• Quantum state discrimination and its applications
• Entanglement purification and quantum error correction
• Measurement based entanglement under conditions of extreme photon loss
• Pure-state transformations and catalysis under operations that completely preserve positivity of partial transpose
• Simulation of non-Pauli Channels