Open AccessPosted Content
The ITensor Software Library for Tensor Network Calculations
TLDR
The philosophy behind ITensor, a system for programming tensor network calculations with an interface modeled on tensor diagram notation, and examples of each part of the interface including Index objects, the ITensor product operator, Tensor factorizations, tensor storage types, algorithms for matrix product state (MPS) and matrix product operator (MPO) tensor networks, and the NDTensors library are discussed.Abstract:
ITensor is a system for programming tensor network calculations with an interface modeled on tensor diagram notation, which allows users to focus on the connectivity of a tensor network without manually bookkeeping tensor indices. The ITensor interface rules out common programming errors and enables rapid prototyping of tensor network algorithms. After discussing the philosophy behind the ITensor approach, we show examples of each part of the interface including Index objects, the ITensor product operator, tensor factorizations, tensor storage types, algorithms for matrix product state (MPS) and matrix product operator (MPO) tensor networks, quantum number conserving block-sparse tensors, and the NDTensors library. We also review publications that have used ITensor for quantum many-body physics and for other areas where tensor networks are increasingly applied. To conclude we discuss promising features and optimizations to be added in the future.read more
Citations
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Journal ArticleDOI
Finite-temperature transport in one-dimensional quantum lattice models
Bruno Bertini,Fabian Heidrich-Meisner,Christoph Karrasch,Tomaž Prosen,Robin Steinigeweg,Marko Žnidarič +5 more
TL;DR: In this paper, a review of the current understanding of transport in one-dimensional lattice models, in particular in the paradigmatic example of the spin-1/2 XXZ and Fermi-Hubbard models, is reviewed, as well as state-of-theart theoretical methods, including both analytical and computational approaches.
Journal ArticleDOI
Qulacs: a fast and versatile quantum circuit simulator for research purpose
Yasunari Suzuki,Yasunari Suzuki,Yoshiaki Kawase,Yuya Masumura,Yuria Hiraga,Masahiro Nakadai,Jiabao Chen,Ken M. Nakanishi,Kosuke Mitarai,Ryosuke Imai,Shiro Tamiya,Takahiro Yamamoto,Tennin Yan,Toru Kawakubo,Yuya O. Nakagawa,Yohei Ibe,Youyuan Zhang,Hirotsugu Yamashita,Hikaru Yoshimura,Akihiro Hayashi,Keisuke Fujii +20 more
TL;DR: The main concepts of Qulacs are shown, how to use its features via examples, numerical techniques to speed-up simulation are described, and its performance with numerical benchmarks is demonstrated.
Journal ArticleDOI
Quantum phases of Rydberg atoms on a kagome lattice.
Rhine Samajdar,Wen Wei Ho,Wen Wei Ho,Hannes Pichler,Hannes Pichler,Mikhail D. Lukin,Subir Sachdev +6 more
TL;DR: This work theoretically investigate the quantum phases that can be realized by arranging such Rydberg atoms on a kagome lattice, and identifies an intriguing regime that constitutes a promising candidate for hosting a phase with long-range quantum entanglement and topological order.
Posted Content
Provably efficient machine learning for quantum many-body problems.
TL;DR: It is proved that classical ML algorithms can efficiently predict ground state properties of gapped Hamiltonian in finite spatial dimensions, after learning from data obtained by measuring other Hamiltonians in the same quantum phase of matter.
References
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