Quantum Entanglement Entropy-Driven Distributed Memory Access
Jincheng Zhang
Abstract
This paper proposes a novel approach to distributed memory access leveraging the principles of quantum entanglement entropy. The core idea is to utilize entanglement entropy to efficiently coordinate and route memory access requests, mitigating the latency and bandwidth bottlenecks associated with traditional global consistency models. We construct a quantum entanglement network connecting multiple computing nodes, enabling them to share entangled states. The entropy of these entangled states serves as a metric for determining which nodes possess the desired data. This allows for a fundamentally different, quantum-physical based coordination mechanism, moving beyond the complexity of conventional routing algorithms and consistency protocols. The proposed system aims to achieve significantly reduced access times and improved network utilization by exploiting the inherent correlations provided by quantum entanglement. The theoretical framework and key concepts are presented, outlining the potential for a substantial improvement in distributed memory system performance. The central equation describing the entanglement entropy-based routing is: $E = \sum_{i=1}^{K} |s_i|^2$, where $E$ is the entanglement entropy, and $s_i$ represents the state of the $i$-th entangled qubit. This equation defines the entropy value as the sum of the squared magnitudes of the states of the entangled qubits. Furthermore, the probability of a node possessing the required data is proportional to the entanglement entropy: $P(node_i) = \frac{E_i}{\sum_{j=1}^{K} E_j}$. The system's performance is analyzed considering the number of entangled qubits ($K$), the entanglement fidelity, and the access latency. We explore potential optimizations and scaling strategies for large-scale distributed systems.