A new unbiased Monte Carlo technique called Tensor Network Monte Carlo (TNMC) is introduced based on sampling all possible renormalizations (or course-grainings) of tensor networks, in this case matrix-product states. Tensor networks are a natural language for expressing a wide range of discrete...
Lecture Notes in Physics 964 Shi-Ju Ran · Emanuele Tirrito Cheng Peng · Xi Chen Luca Tagliacozzo · Gang Su Maciej Lewenstein Tensor Network Contractions Methods and Applications to Quantum Many-Body Systems Lecture Notes in Physics Volume 964 Founding Editors Wolf Beiglböck, Heidelberg, ...
However, the complete characterization of their phase diagrams and the full understanding of non-perturbative effects are still debated, especially at finite charge density, mostly due to the sign-problem affecting Monte Carlo numerical simulations. Here, we report the Tensor Network simulation of a ...
Motivated by this experiment, we study possible field induced quantum phases in theoretical models of the Kitaev magnets, using the two dimensional tensor network approach or infinite tensor product states. We find various quantum ground states in addition to the chiral Kitaev spin liquid occupying a...
The idea of TRG is to iteratively “coarse-grain” the TN without changing the bond dimensions, the geometry of the network, and the translational invariance. Such a process is realized by two local operations in each iteration. Let us denote the tensor in thet-th iteration asT(t)(we take...
Thermal Tensor Network Approach for Quantum Many-Body systems 58分钟 2430播放 Two-stage superconductivity in Hatsugai-Kohmoto-BCS model 1时5分 1977播放 Lattice models of fracton topological orders 1时34分 2545播放 Monte Carlo simulation of fraction topological order model 1时21分 1998播放 Pair Den...
7.3 End-to-End Network Benchmark Workloads。我们测试了几个DNN的端到端推理执行时间,包括ResNet-50,MobileNet-V2,用于图像分类;3D-ResNet-18,用于动作识别;DCGAN generator,用于图像生成,以及BERT,用于语言理解。我们在三个硬件平台上进行测试。对于服务器级别的Intel CPU和NVIDIA GPU,我们记录batch size 1和16的...
Tensor networks provide an efficient classical representation of certain strongly correlated quantum many-body systems. We present a general lifting method to ascribe quantum states to the network structure itself that reveals important new physical feat
We demonstrate that the proposed method provides faster and more accurate solu- tion to the forward problem compared to SSA, particularly when the network is far from optimal. Next, we apply two Markov Chain Monte Carlo (MCMC) algorithms for black-box discrete high-dimensional optimisation and ...
no major coordination defects were observed. This indicates that the configuration has been well equilibrated at 3000 K, resulting in the establishment of a strong network. Note that the ab initio MD trajectory, which encompasses both the cooling and equilibration stages of the amorphous structure...