Holographic Software for Quantum Networks
| Autor: | Arthur Jaffe, Zhengwei Liu, Alex Wozniakowski |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
High Energy Physics - Theory
Pauli matrices General Mathematics FOS: Physical sciences Quantum entanglement 01 natural sciences Multipartite entanglement String (physics) symbols.namesake 0103 physical sciences Mathematics - Quantum Algebra FOS: Mathematics Quantum Algebra (math.QA) 0101 mathematics Quantum information Operator Algebras (math.OA) 010306 general physics Mathematical Physics Mathematics Quantum network Quantum Physics 010102 general mathematics Mathematics - Operator Algebras Mathematical Physics (math-ph) Algebra Fourier transform High Energy Physics - Theory (hep-th) Operator algebra symbols Quantum Physics (quant-ph) |
| 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 |
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