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.

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

References in corpus (21)

• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• General Benchmarks for Quantum Repeaters
• Fundamental Limits of Repeaterless Quantum Communications
• Quantum privacy amplification and the security of quantum cryptography over noisy channels
• Parameterized quantum circuits as machine learning models
• Quantum Internet: Networking Challenges in Distributed Quantum Computing
• Local Distinguishability of Multipartite Orthogonal Quantum States
• Everything You Always Wanted to Know About LOCC (But Were Afraid to Ask)
• Quantum state discrimination and its applications
• Entanglement purification and quantum error correction
• Efficient and Noise Resilient Measurements for Quantum Chemistry on Near-Term Quantum Computers
• Quantum Internet Protocol Stack: a Comprehensive Survey
• Noise Resilience of Variational Quantum Compiling
• Distinguishability of maximally entangled states
• Optimizing practical entanglement distillation
• Measurement based entanglement under conditions of extreme photon loss
• PPT-indistinguishable states via semidefinite programming
• Distinguishability of Quantum States by Positive Operator-Valued Measures with Positive Partial Transpose
• Practical distributed quantum information processing with LOCCNet
• Pure-state transformations and catalysis under operations that completely preserve positivity of partial transpose
• Simulation of non-Pauli Channels