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Fast counting with tensor networks
Published 2019-11-01“…We introduce tensor network contraction algorithms for counting satisfying assignments of constraint satisfaction problems (#CSPs). …”
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Variational tensor network operator
Published 2022-11-01“…We propose a simple and generic construction of the variational tensor network operators to study the quantum spin systems by the synergy of ideas from the imaginary-time evolution and the variational optimization of trial wave functions. …”
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Categorical Tensor Network States
Published 2010“…This general framework of categorical tensor network<br/> states, where a combination of generic and algebraically defined tensors<br/> appear, enhances the theory of tensor network states.…”
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Categorical Tensor Network States
Published 2010“…This general framework of categorical tensor network states, where a combination of generic and algebraically defined tensors appear, enhances the theory of tensor network states.…”
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The tensor network theory library
Published 2018“…In this technical paper we introduce the tensor network theory (TNT) library - an open-source software project aimed at providing a platform for rapidly developing robust, easy to use and highly optimised code for TNT calculations. …”
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Reflected entropy in random tensor networks
Published 2022-05-01“…We apply this prescription to hyperbolic tensor networks and find answers consistent with holographic expectations. …”
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Building tensor networks for holographic states
Published 2021-05-01“…We propose that these novel Euclidean path integral states in the CFT can be interpreted as continuous tensor network (CTN) states. We argue that these CTN states satisfy a Ryu-Takayanagi-like minimal area upper bound on the entanglement entropies of boundary intervals, with the coefficient being equal to 1 4 G N $$ \frac{1}{4{G}_N} $$ ; the CTN corresponding to the bulk time-reflection symmetric slice saturates this bound. …”
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Three-dimensional isometric tensor networks
Published 2021-06-01“…Tensor network states are expected to be good representations of a large class of interesting quantum many-body wave functions. …”
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Topological dualities via tensor networks
Published 2024-03-01“…In this paper, we propose a unified approach to this duality, whose main protagonist is a tensor network (TN) assuming the role of an intermediate translator. …”
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Preparation and verification of tensor network states
Published 2022-05-01“…We consider a family of tensor network states defined on regular lattices that come with a natural definition of an adiabatic path to prepare them. …”
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Gauging tensor networks with belief propagation
Published 2023-12-01“…Effectively compressing and optimizing tensor networks requires reliable methods for fixing the latent degrees of freedom of the tensors, known as the gauge. …”
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Loop Optimization for Tensor Network Renormalization
Published 2017“…We introduce a tensor renormalization group scheme for coarse graining a two-dimensional tensor network that can be successfully applied to both classical and quantum systems on and off criticality. …”
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Spectral methods from tensor networks
Published 2021“…Publication rights licensed to ACM. A tensor network is a diagram that specifies a way to “multiply” a collection of tensors together to produce another tensor (or matrix). …”
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Reflected entropy in random tensor networks
Published 2022“…We apply this prescription to hyperbolic tensor networks and find answers consistent with holographic expectations. …”
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Quantum stochastic modelling and tensor networks
Published 2020“…In this thesis, we explore the connection between tensor networks and quantum predictive models. A particular class of tensor networks, matrix product states (MPS), is utilized to further improve quantum models. …”
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Thesis-Doctor of Philosophy