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20112022
most citedLecture Notes of Tensor Network Contractions

176 citations · 1.4k across the 46 of their papers we have counts for

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11 papers · 1 filter

hep-th2017★ 30 cited

The supersymmetric affine Yangian

Matthias R. Gaberdiel, Wei Li, Cheng Peng +1

The affine Yangian of is known to be isomorphic to , the -algebra that characterizes the bosonic higher spin -- CFT duality. In this paper…

cond-mat.str-el2017★ 57 cited

Thermodynamics of Spin-1/2 Kagomé Heisenberg Antiferromagnet: Algebraic Paramagnetic Liquid and Finite-Temperature Phase Diagram

Xi Chen, Shi-Ju Ran, Tao Liu +3

Quantum fluctuations from frustration can trigger quantum spin liquids (QSLs) at zero temperature. However, it is unclear how thermal fluctuations affect a QSL. We employ state-of-…

stat.ML2017★ 105 cited

Machine Learning by Unitary Tensor Network of Hierarchical Tree Structure

Ding Liu, Shi-Ju Ran, Peter Wittek +4

The resemblance between the methods used in quantum-many body physics and in machine learning has drawn considerable attention. In particular, tensor networks (TNs) and deep learni…

cond-mat.str-el2017★ 2 cited

Identifying Criticality in Higher Dimensions by Time Matrix Product State

Cheng Peng, Shi-Ju Ran, Maciej Lewenstein +1

Characterizing criticality in quantum many-body systems of dimension is one of the most important challenges of the contemporary physics. In principle, there is no generall…

physics.comp-ph2017★ 176 cited

Lecture Notes of Tensor Network Contractions

Shi-Ju Ran, Emanuele Tirrito, Cheng Peng +4

Tensor network (TN), a young mathematical tool of high vitality and great potential, has been undergoing extremely rapid developments in the last two decades, gaining tremendous su…

hep-th2017★ 64 cited

Correlators in the Supersymmetric SYK Model

Cheng Peng, Marcus Spradlin, Anastasia Volovich

We study correlation functions in the one-dimensional supersymmetric SYK model. The leading order 4-point correlation functions are computed by summing over ladder…