Hyperdimensional Computing for Distributed Quantum State Teleportation
Jincheng Zhang
Abstract
This paper explores a novel approach to quantum state teleportation leveraging hyperdimensional computing (HDC). Traditional quantum state teleportation protocols face limitations due to qubit fidelity requirements and the complexity associated with distributing entangled qubits over long distances. We propose utilizing HDC – high-dimensional vectors characterized by near-orthogonal components – to represent and transmit quantum states. Our method significantly reduces the need for direct qubit entanglement, offering a potentially scalable and robust alternative. The core mechanism involves encoding the quantum state information into the high-dimensional vector components and subsequently extracting the state at the destination. We detail the mathematical framework underpinning this approach, focusing on vector projections, inner products, and state reconstruction. The results demonstrate a viable path towards distributed quantum state teleportation, addressing the key challenges of fidelity and entanglement distribution. We provide a detailed analysis of the computational complexity and potential advantages of this HDC-based teleportation scheme.