Tensor network methods for invari- ant theory. Journal of Physics A: Mathematical and Theoretical, page 475301, 2013.J. Biamonte, V. Bergholm, and M. Lanzagorta. Invariant Theory for Matrix Product States. arXiv:1209.0631. 2012.Jacob Biamonte, Ville Bergholm, and Marco Lanzagorta. Tensor ...
This approach also enables one to use known methods from tensor network theory (such as the matrix product state factorization) when studying polynomial invariants. As our main example, we consider invariants of matrix product states. We generate a family of tensor contractions resulting in a ...
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最近刚开始接触Tensor network,以MPS为例,从个人理解看是这样的:假设一个N粒子的chain,MPS实质上就是在任意两个site之间作分割,形成左右两个子空间,然后将总波函数在两个子空间的张量积空间里写成一个matrix,然后对这个matrix作SVD,中间的对角矩阵就是对应两个site间的bond,对角矩阵的规模就是bond dim,根据...
TTN(Tree Tensor Network):TTN是一种层次结构的张量网络,其形状类似于树。它可以有效地表示一维或...
Here, we present an advanced but general computational strategy that allows tensor network methods to effectively compute the non-perturbative, real-time dynamics of exponentially large vibronic wave functions of real molecules. We demonstrate how ab initio modelling, machine learning and entanglement ...
We utilise heuristic tensor network methods to construct tensor network models of multiboundary wormhole states built by sewing... ALEXANDER,MATTHEW 被引量: 0发表: 2018年 Tensor networks for black hole interiors: non-isometries, quantum extremal surfaces, and wormholes We use hyperbolic tensor ...
Introduction to Tensor Network Methods (Springer International Publishing, 2018). Silvi, P. et al. The tensor networks anthology: simulation techniques for many-body quantum lattice systems. SciPost Phys. Lect. Notes 8 https://scipost.org/SciPostPhysLectNotes.8 (2019). Amico, L., Fazio, R.,...
i.e. the operator that results from contracting part of the network. This provides physical insight into the limitation of various approaches, and allows us to introduce a new strategy, based on the idea of clusters, that unifies previous methods. The resulting contraction algorithm interpolates ...
TeNPy: Tensor Network Python TeNPy (short for 'Tensor Network Python') is a Python library for the simulation of strongly correlated quantum systems with tensor networks. The philosophy of this library is to get a new balance of a good readability and usability for new-comers, and at the sam...