Principles and symmetries of complexity in quantum field theory
文献类型：期刊论文
| 作者 | Yang, RQ; An, YS; Niu, C3,6; Zhang, CY; Kim, KY |
| 刊名 | EUROPEAN PHYSICAL JOURNAL C
 |
| 出版日期 | 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 |
| 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.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China 2.Jinan Univ, Siyuan Lab, Guangzhou 510632, Guangdong, Peoples R China 3.Jinan Univ, Dept Phys, Guangzhou 510632, Guangdong, Peoples R China 4.Fudan Univ, Ctr Field Theory & Particle Phys, Shanghai 200433, Peoples R China 5.Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China 6.Gwangju Inst Sci & Technol, Sch Phys & Chem, Gwangju 61005, South Korea 7.Korea Inst Adv Study, Quantum Universe Ctr, Seoul 130722, South Korea 8.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, Beijing 100190, 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. |
入库方式： OAI收割
来源：理论物理研究所
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