Holographic Software for Quantum Networks

Autor: Arthur Jaffe, Zhengwei Liu, Alex Wozniakowski
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Science China Mathematics
Popis: We introduce a pictorial approach to quantum information, called holographic software. Our software captures both algebraic and topological aspects of quantum networks. It yields a bi-directional dictionary to translate between a topological approach and an algebraic approach. Using our software, we give a topological simulation for quantum networks. The string Fourier transform (SFT) is our basic tool to transform product states into states with maximal entanglement entropy. We obtain a pictorial interpretation of Fourier transformation, of measurements, and of local transformations, including the $n$-qudit Pauli matrices and their representation by Jordan-Wigner transformations. We use our software to discover interesting new protocols for multipartite communication. In summary, we build a bridge linking the theory of planar para algebras with quantum information.
48 pages. Accepted for publication in SCIENCE CHINA Mathematics
Databáze: OpenAIRE