Principles and symmetries of complexity in quantum field theory

doi:10.1140/epjc/s10052-019-6600-3

CORC > 理论物理研究所 > 中国科学院理论物理研究所 > 理论物理所科研产出 > 理论物理所1978-2010年知识产出

	Principles and symmetries of complexity in quantum field theory
	Yang, RQ ; An, YS ; Niu, C 5,6; Zhang, CY ; Kim, KY
刊名	EUROPEAN PHYSICAL JOURNAL C
	2019
卷号	79 期号:2 页码:109
ISSN号	1434-6044
DOI	10.1140/epjc/s10052-019-6600-3
英文摘要	Based 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.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/23493]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China 2.Korea Inst Adv Study, Quantum Universe Ctr, Seoul 130722, South Korea 3.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China 5.Gwangju Inst Sci & Technol, Sch Phys & Chem, Gwangju 61005, South Korea 6.Jinan Univ, Dept Phys, Guangzhou 510632, Guangdong, Peoples R China 7.Jinan Univ, Siyuan Lab, Guangzhou 510632, Guangdong, Peoples R China 8.Fudan Univ, Ctr Field Theory & Particle Phys, Shanghai 200433, Peoples R China
推荐引用方式 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.