TensorNetwork on TensorFlow: Entanglement Renormalization for quantum critical lattice models

التفاصيل البيبلوغرافية
العنوان: TensorNetwork on TensorFlow: Entanglement Renormalization for quantum critical lattice models
المؤلفون: Ganahl, Martin, Milsted, Ashley, Leichenauer, Stefan, Hidary, Jack, Vidal, Guifre
سنة النشر: 2019
المجموعة: Physics (Other)
مصطلحات موضوعية: Physics - Computational Physics
الوصف: We use TensorNetwork [C. Roberts et al., arXiv: 1905.01330], a recently developed API for performing tensor network contractions using accelerated backends such as TensorFlow, to implement an optimization algorithm for the Multi-scale Entanglement Renormalization Ansatz (MERA). We use the MERA to approximate the ground state wave function of the infinite, one-dimensional transverse field Ising model at criticality, and extract conformal data from the optimized ansatz. Comparing run times of the optimization on CPUs vs. GPU, we report a very significant speed-up, up to a factor of 200, of the optimization algorithm when run on a GPU.
Comment: 8 pages, 10 figures; code can be downloaded from https://github.com/google/TensorNetwork
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1906.12030
رقم الأكسشن: edsarx.1906.12030
قاعدة البيانات: arXiv