Distributed Computation via Relational Quantum States
Jincheng Zhang
Abstract
This paper explores the potential of quantum computing for distributed computation by leveraging relational quantum states. The core idea is to encode and transmit relationships between data points directly into the quantum state of entangled qubits. This allows for correlated computations to be performed across geographically separated quantum processors. Unlike traditional quantum communication which primarily focuses on transmitting individual qubits, this approach utilizes the inherent structure of quantum states to facilitate the distribution of relational information. We investigate the fundamental principles of encoding and manipulating relational data within this framework, outlining a potential pathway toward scalable distributed quantum computation. The key innovation lies in recognizing that the power of quantum computing can be harnessed not just for processing individual data points, but for processing the relationships *between* them. This offers a novel approach to distributed computation with potential advantages in areas where data correlations are paramount, such as complex simulations and data analysis. The theoretical framework presented here provides a foundation for future research into the practical implementation of relational quantum computation.