基于量子纠缠的非标准算术框架
Jincheng Zhang
Abstract
This paper introduces a novel non-standard axiomatic framework for computation centered around quantum entanglement. We propose a system of "entanglement arithmetic" that leverages the unique properties of quantum entanglement to facilitate novel computational operations and potentially unlock new mechanisms for quantum information processing. The core mechanism involves the design of a specialized arithmetic system that intrinsically incorporates entanglement, offering a departure from traditional axiomatic approaches. We explore the potential of this framework to enhance computational capabilities and provide a new perspective on the design of quantum algorithms. This work necessitates a rigorous examination of the implications of entanglement within a computational context, focusing on potential benefits and challenges related to algorithm design and computational complexity.