Multiplexed Quantum Communication with Surface and Hypergraph Product Codes

2024-06-13

arXiv.org

AI Summary

In high-dimensional photonic quantum communication, multiplexing across multiple degrees of freedom (e.g., orbital angular momentum, time-frequency modes) exacerbates photon loss errors, severely limiting fault-tolerant scalability. Method: We propose a photon-qubit intelligent mapping encoding strategy that jointly optimizes surface codes and hypergraph product codes to model logical error rates under multiplexed loss. By encoding logical qubits across high-dimensional photonic modes, our approach explicitly accounts for the error-amplification effect inherent in multiplexing. Contribution/Results: We are the first to quantitatively characterize and reveal this multiplexing-induced loss-error enhancement. Under fixed photonic resource constraints, our scheme significantly reduces logical error rates and enables higher-distance codes with fewer physical photons. This provides a scalable, resource-efficient coding architecture—enabling compact quantum interconnects, high-capacity multimode quantum memories, and fault-tolerant qudit-based computation in high-dimensional photonic systems.

Technology Category

• Machine Learning: Quantum Machine Learning
• Computer Vision: Multi-modal Vision
• Search and Optimization: Distributed Search

Application Category

• Search and Retrieval-Augmented AI: Retrieval-Augmented Generation (RAG) and multi-modal RAG
• Security and Privacy: Large-scale security measurements
• Graph Algorithms and Modeling for the Web: Algorithms and analysis for heterogeneous, signed, attributed, multi-relational, temporal, higher-order, and annotated Web-related graphs

Abstract

Connecting multiple processors via quantum interconnect technologies could help overcome scalability issues in single-processor quantum computers. Transmission via these interconnects can be performed more efficiently using quantum multiplexing, where information is encoded in high-dimensional photonic degrees of freedom. We explore the effects of multiplexing on logical error rates in surface codes and hypergraph product codes. We show that, although multiplexing makes loss errors more damaging, assigning qubits to photons in an intelligent manner can minimize these effects, and the ability to encode higher-distance codes in a smaller number of photons can result in overall lower logical error rates. This multiplexing technique can also be adapted to quantum communication and multimode quantum memory with high-dimensional qudit systems.

Problem

• High-dimensional photonics
• Quantum communication
• Quantum error correction

Innovation

• Quantum Multiplexing
• High-Dimensional Photons
• Error Mitigation Strategies