Entanglement and mathematics

Jincheng Zhang

This paper explores a novel quantum entanglement information transfer protocol, designed to surpass the limitations of classical information transmission. The core concept centers around utilizing quantum entanglement to establish a secure and potentially faster information transfer mechanism. We present a mathematical framework detailing the protocol's key components – including the creation of entangled states, the implementation of a specific encoding scheme, and the design of a quantum computation protocol. The paper focuses on the mathematical underpinnings of this protocol, including the entanglement generation process, the encryption/decryption algorithms, and the quantum computation steps. The goal is to provide a mathematically rigorous basis for this advanced information transfer technique.

Mark Edward MacDowell, Ramakrishna Puligandla

The intent of this brief article is to answer the logical question, “What sort of mathematics could be used to explain how non-locality (entanglement) happens?” The interest here is that, although physicists agree that entanglement is a real phenomenon, thus far no physical or mathematical explanations of this phenomenon have been put forward. The present article takes a logical meta-mathematical approach searching for a plausible explanation. A Moebius topology is used to describe the relationship between matter and anti-matter, thereby pointing to an explanation of non-locality. What are the physical implications of this topology? How would it show up in the laboratory?

Jincheng Zhang

This paper explores the design and implementation of a novel algorithm leveraging quantum entanglement to generate complex mathematical expressions. The core claim is that this approach can uncover unexpected relationships and patterns within these expressions, facilitating the discovery of new mathematical theorems and proofs. We propose a quantum algorithm for generating random sequences with a defined entanglement structure, followed by a sophisticated search algorithm to explore these sequences for novel mathematical expressions. This research investigates the potential of quantum mechanics to transcend conventional computational approaches in mathematical discovery.

Bob Coecke