no code implementations • 12 Jul 2020 • John Martyn, Guifre Vidal, Chase Roberts, Stefan Leichenauer
For that purpose, we propose a plausible candidate state $|\Sigma_{\ell}\rangle$ (built as a superposition of product states corresponding to images in the training set) and investigate its entanglement properties.
no code implementations • 3 Jun 2020 • Jinhui Wang, Chase Roberts, Guifre Vidal, Stefan Leichenauer
Originating from condensed matter physics, tensor networks are compact representations of high-dimensional tensors.
1 code implementation • 28 Jun 2019 • Martin Ganahl, Ashley Milsted, Stefan Leichenauer, Jack Hidary, Guifre Vidal
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.
Computational Physics
3 code implementations • 3 May 2019 • Ashley Milsted, Martin Ganahl, Stefan Leichenauer, Jack Hidary, Guifre Vidal
TensorNetwork is an open source library for implementing tensor network algorithms in TensorFlow.
2 code implementations • 3 May 2019 • Chase Roberts, Ashley Milsted, Martin Ganahl, Adam Zalcman, Bruce Fontaine, Yijian Zou, Jack Hidary, Guifre Vidal, Stefan Leichenauer
TensorNetwork is an open source library for implementing tensor network algorithms.
1 code implementation • 7 Jan 2018 • Martin Ganahl, Guifre Vidal
Given the continuum Hamiltonian $H$, we consider a sequence of discretized Hamiltonians $\{H(\epsilon_{\alpha})\}_{\alpha=1, 2,\cdots, p}$ on increasingly finer lattices with lattice spacing $\epsilon_1 > \epsilon_2 > \cdots > \epsilon_p$.
Quantum Gases
1 code implementation • 11 Dec 2015 • Markus Hauru, Glen Evenbly, Wen Wei Ho, Davide Gaiotto, Guifre Vidal
On the torus, the partition function $Z_{D}$ of the critical Ising model in the presence of a topological conformal defect $D$ is expressed in terms of the scaling dimensions $\Delta_{\alpha}$ and conformal spins $s_{\alpha}$ of a distinct set of primary fields (and their descendants, or conformal towers) of the Ising CFT.
Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory Quantum Physics
12 code implementations • 5 Feb 2014 • Robert N. C. Pfeifer, Glen Evenbly, Sukhwinder Singh, Guifre Vidal
This article presents a MATLAB function ncon(), or "Network CONtractor", which accepts as its input a tensor network and a contraction sequence describing how this network may be reduced to a single tensor or number.
Computational Physics Strongly Correlated Electrons Quantum Physics
no code implementations • 5 Jul 2013 • Sukhwinder Singh, Guifre Vidal
In this paper we explore the trade-off between using a tensor network N with minimal bond dimension \chi^{min} and a tensor network N_{sym} made of symmetric tensors, where the minimal bond dimension \chi^{min}_{sym} might be larger than \chi^{min}.
Strongly Correlated Electrons
1 code implementation • 19 Jan 2012 • Andrew J. Ferris, Guifre Vidal
Tensor network states are powerful variational ans\"atze for many-body ground states of quantum lattice models.
Strongly Correlated Electrons Quantum Physics
3 code implementations • 27 Aug 2010 • Sukhwinder Singh, Robert N. C. Pfeifer, Guifre Vidal
Tensor network decompositions offer an efficient description of certain many-body states of a lattice system and are the basis of a wealth of numerical simulation algorithms.
Strongly Correlated Electrons
2 code implementations • 17 Jul 2009 • Sukhwinder Singh, Robert N. C. Pfeifer, Guifre Vidal
Tensor network decompositions offer an efficient description of certain many-body states of a lattice system and are the basis of a wealth of numerical simulation algorithms.
Strongly Correlated Electrons
no code implementations • 21 Jun 2004 • Michael Zwolak, Guifre Vidal
We present an algorithm to study mixed-state dynamics in one-dimensional quantum lattice systems.
Strongly Correlated Electrons Quantum Physics
1 code implementation • 15 Jan 2003 • Guifre Vidal
We present a scheme to efficiently simulate, with a classical computer, the dynamics of multipartite quantum systems on which the amount of entanglement (or of correlations in the case of mixed-state dynamics) is conveniently restricted.
Quantum Physics