Search Results for author: Guifre Vidal

Found 14 papers, 10 papers with code

Entanglement and Tensor Networks for Supervised Image Classification

no code implementations12 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.

BIG-bench Machine Learning Classification +3

Anomaly Detection with Tensor Networks

no code implementations3 Jun 2020 Jinhui Wang, Chase Roberts, Guifre Vidal, Stefan Leichenauer

Originating from condensed matter physics, tensor networks are compact representations of high-dimensional tensors.

Anomaly Detection Computational Efficiency +1

TensorNetwork on TensorFlow: Entanglement Renormalization for quantum critical lattice models

1 code implementation28 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

Continuous matrix product states for non-relativistic quantum fields: a lattice algorithm for inhomogeneous systems

1 code implementation7 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

Topological conformal defects with tensor networks

1 code implementation11 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

NCON: A tensor network contractor for MATLAB

12 code implementations5 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

Global symmetries in tensor network states: symmetric tensors versus minimal bond dimension

no code implementations5 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

Perfect Sampling with Unitary Tensor Networks

1 code implementation19 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

Tensor network states and algorithms in the presence of a global U(1) symmetry

3 code implementations27 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

Tensor network decompositions in the presence of a global symmetry

2 code implementations17 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

Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm

no code implementations21 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

Efficient classical simulation of slightly entangled quantum computations

1 code implementation15 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

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