ITP OpenIR  > SCI期刊论文
Yang, RQ; An, YS; Niu, C4,5; Zhang, CY; Kim, KY
Principles and symmetries of complexity in quantum field theory
Source PublicationEUROPEAN PHYSICAL JOURNAL C
Language英语
AbstractBased on general and minimal properties of the discrete circuit complexity, we define the complexity in continuous systems in a geometrical way. We first show that the Finsler metric naturally emerges in the geometry of the complexity in continuous systems. Due to fundamental symmetries of quantum field theories, the Finsler metric is more constrained and consequently, the complexity of SU(n) operators is uniquely determined as a length of a geodesic in the Finsler geometry. Our Finsler metric is bi-invariant contrary to the right-invariance of discrete qubit systems. We clarify why the bi-invariance is relevant in quantum field theoretic systems. After comparing our results with discrete qubit systems we show most results in k-local right-invariant metric can also appear in our framework. Based on the bi-invariance of our formalism, we propose a new interpretation for the Schrodinger's equation in isolated systems - the quantum state evolves by the process of minimizing computational cost.
2019
ISSN1434-6044
Volume79Issue:2Pages:109
Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
DOI10.1140/epjc/s10052-019-6600-3
Indexed BySCIE
Citation statistics
Cited Times:17[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/23493
CollectionSCI期刊论文
Affiliation1.Korea Inst Adv Study, Quantum Universe Ctr, Seoul 130722, South Korea
2.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
4.Gwangju Inst Sci & Technol, Sch Phys & Chem, Gwangju 61005, South Korea
5.Jinan Univ, Dept Phys, Guangzhou 510632, Guangdong, Peoples R China
6.Jinan Univ, Siyuan Lab, Guangzhou 510632, Guangdong, Peoples R China
7.Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China
8.Fudan Univ, Ctr Field Theory & Particle Phys, Shanghai 200433, Peoples R China
Recommended Citation
GB/T 7714
Yang, RQ,An, YS,Niu, C,et al. Principles and symmetries of complexity in quantum field theory[J]. EUROPEAN PHYSICAL JOURNAL C,2019,79(2):109.
APA Yang, RQ,An, YS,Niu, C,Zhang, CY,&Kim, KY.(2019).Principles and symmetries of complexity in quantum field theory.EUROPEAN PHYSICAL JOURNAL C,79(2),109.
MLA Yang, RQ,et al."Principles and symmetries of complexity in quantum field theory".EUROPEAN PHYSICAL JOURNAL C 79.2(2019):109.
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