Quantum Machine Learning for Distributed Quantum Protocols with Local Operations and Noisy Classical Communications
This work addresses a practical limitation in quantum information processing for researchers and engineers by making protocols more robust to real-world communication errors, though it is incremental as it builds on existing LOCC frameworks.
The paper tackles the problem of designing distributed quantum protocols for entanglement distillation and state discrimination under noisy classical communication channels, achieving significant advantages over existing noiseless-communication protocols.
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.