Spin-to-Spin Entanglement for Quantum Algorithm Acceleration
Jincheng Zhang
Abstract
This paper investigates the potential of utilizing spin-to-spin entanglement, specifically through the technique of spin-to-spin exchange, to accelerate the execution of quantum algorithms. The core premise is that by decomposing quantum algorithms into a sequence of exchange operations, the inherent parallelism of these operations can be exploited to significantly reduce the overall computational time. This approach offers a novel pathway toward enhancing the efficiency of quantum computing. The paper will detail the theoretical framework, mathematical formulation of the exchange operations, and a conceptual exploration of its application to specific quantum algorithms. We present a framework for quantifying the speedup achievable through this method, focusing on the reduction of gate count and circuit depth. The goal is to demonstrate a viable strategy for leveraging entanglement-based parallelism in quantum computation.