期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 6, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP06(2019)032
关键词
AdS-CFT Correspondence; Gauge-gravity correspondence; Holography and condensed matter physics (AdS; CMT); Models of Quantum Gravity
资金
- Natural Science Foundation of China [11575195, 11875053, 11847229]
- Jiangxi young scientists (JingGang Star) program
- 555 talent project of Jiangxi Province
- National Postdoctoral Program - China Postdoctoral Science Foundation [BX20180318]
We develop our recent work on quantum error correction (QEC) and entanglement spectrum (ES) in tensor networks (arXiv:1806.05007). We propose a general framework for planar tensor network state with tensor constraints as a model for AdS(3)/CFT2 correspondence, which could be viewed as a generalization of hyperinvariant tensor networks recently proposed by Evenbly. We elaborate our proposal on tensor chains in a tensor network by tiling H-2 space and provide a diagrammatical description for general multi-tensor constraints in terms of tensor chains, which forms a generalized greedy algorithm. The behavior of tensor chains under the action of greedy algorithm is investigated in detail. In particular, for a given set of tensor constraints, a critically protected (CP) tensor chain can be figured out and evaluated by its average reduced interior angle. We classify tensor networks according to their ability of QEC and the flatness of ES. The corresponding geometric description of critical protection over the hyperbolic space is also given.
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