Many-body anticommutator and its applications in the normalization of completely symmetric states with Majorana's stellar representations

Autor:	Li-Bin Fu, Xi Lu, Xiaoguang Wang, H. D. Liu, Jie Chen, Liyao Zhan
Rok vydání:	2021
Předmět:	Normalization (statistics) Physics symbols.namesake Theoretical physics MAJORANA Pauli exclusion principle symbols Key (cryptography) Mathematics::Metric Geometry Symmetry group Quantum information Quantum Many body
Zdroj:	Physical Review A. 104
ISSN:	2469-9934 2469-9926
DOI:	10.1103/physreva.104.012203
Popis:	Understanding the quantum properties of many-body states is important in the fields of both quantum information and condensed-matter physics. For this purpose, we generalize the basic concept of the anticommutator from two operators to the many-body case. Some key properties are given for the many-body anticommutators, and examples are provided for Pauli operators and density matrices. Using these results and techniques from the symmetry group, in a straightforward way, we give the normalization of the completely symmetric states with Majorana's stellar representations. Our developed method will help to pave the way in the study of many-body symmetric systems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d1fb42e6e1c54103f1f710907351d17c https://doi.org/10.1103/physreva.104.012203 Zobrazit plný text záznamu