Search Results - "Evenbly, Glen"
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A Practical Guide to the Numerical Implementation of Tensor Networks I: Contractions, Decompositions, and Gauge Freedom
Published in Frontiers in applied mathematics and statistics (01-06-2022)“…We present an overview of the key ideas and skills necessary to begin implementing tensor network methods numerically, which is intended to facilitate the…”
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Number-state preserving tensor networks as classifiers for supervised learning
Published in Frontiers in physics (29-11-2022)“…We propose a restricted class of tensor network state, built from number-state preserving tensors, for supervised learning tasks. This class of tensor network…”
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Rigorous Free-Fermion Entanglement Renormalization from Wavelet Theory
Published in Physical review. X (09-01-2018)“…We construct entanglement renormalization schemes that provably approximate the ground states of noninteracting-fermion nearest-neighbor hopping Hamiltonians…”
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4
Exact holographic tensor networks for the Motzkin spin chain
Published in Quantum (Vienna, Austria) (21-09-2021)“…The study of low-dimensional quantum systems has proven to be a particularly fertile field for discovering novel types of quantum matter. When studied…”
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5
Hyperinvariant Tensor Networks and Holography
Published in Physical review letters (06-10-2017)“…We propose a new class of tensor network state as a model for the AdS/CFT correspondence and holography. This class is demonstrated to retain key features of…”
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Entanglement Renormalization and Wavelets
Published in Physical review letters (08-04-2016)“…We establish a precise connection between discrete wavelet transforms and entanglement renormalization, a real-space renormalization group transformation for…”
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7
Exploring Gamification in Quantum Computing: The Qubit Factory
Published 17-06-2024“…Gamification of quantum theory can provide new inroads into the subject: by allowing users to experience simulated worlds that manifest obvious quantum…”
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A Practical Guide to the Numerical Implementation of Tensor Networks I: Contractions, Decompositions and Gauge Freedom
Published 04-02-2022“…We present an overview of the key ideas and skills necessary to begin implementing tensor network methods numerically, which is intended to facilitate the…”
Get full text
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Reconstruction of Randomly Sampled Quantum Wavefunctions using Tensor Methods
Published 02-10-2023“…We propose and test several tensor network based algorithms for reconstructing the ground state of an (unknown) local Hamiltonian starting from a random sample…”
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10
Reduced Contraction Costs of Corner-Transfer Methods for PEPS
Published 13-06-2023“…We propose a pair of approximations that allows the leading order computational cost of contracting an infinite projected entangled-pair state (iPEPS) to be…”
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TensorTrace: an application to contract tensor networks
Published 06-11-2019“…Tensor network methods are a conceptually elegant framework for encoding complicated datasets, where high-order tensors are approximated as networks of…”
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12
Simulation of interacting fermions with entanglement renormalization
Published in Physical review. A, Atomic, molecular, and optical physics (01-01-2010)“…We propose an algorithm to simulate interacting fermions on a two-dimensional lattice. The approach is an extension of the entanglement renormalization…”
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13
Number-State Preserving Tensor Networks as Classifiers for Supervised Learning
Published 15-05-2019“…We propose a restricted class of tensor network state, built from number-state preserving tensors, for supervised learning tasks. This class of tensor network…”
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14
Entanglement renormalization, scale invariance, and quantum criticality
Published in Physical review. A, Atomic, molecular, and optical physics (01-04-2009)Get full text
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15
Gauge fixing, canonical forms and optimal truncations in tensor networks with closed loops
Published 17-05-2018“…Phys. Rev. B 98, 085155 (2018) We describe an approach to fix the gauge degrees of freedom in tensor networks, including those with closed loops, which allows…”
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16
Improved Wavelets for Image Compression from Unitary Circuits
Published 04-03-2022“…We benchmark the efficacy of several novel orthogonal, symmetric, dilation-3 wavelets, derived from a unitary circuit based construction, towards image…”
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Implicitly disentangled renormalization
Published 18-07-2017“…We propose a new implementation of real-space renormalization group (RG) transformations for quantum states on a lattice. Key to this approach is the removal…”
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Hyper-invariant tensor networks and holography
Published 13-04-2017“…Phys. Rev. Lett. 119, 141602 (2017) We propose a new class of tensor network state as a model for the AdS/CFT correspondence and holography. This class is…”
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19
Improving the efficiency of variational tensor network algorithms
Published in Physical review. B, Condensed matter and materials physics (12-06-2014)“…We present several results relating to the contraction of generic tensor networks and discuss their application to the simulation of quantum many-body systems…”
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Algorithms for tensor network renormalization
Published 24-09-2015“…Phys. Rev. B 95, 045117 (2017) We discuss in detail algorithms for implementing tensor network renormalization (TNR) for the study of classical statistical and…”
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