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181
Improved local truncation schemes for the higher-order tensor renormalization group method
Published 2023-02-01“…The higher-order tensor renormalization group is a tensor-network method providing estimates for the partition function and thermodynamical observables of classical and quantum systems in thermal equilibrium. …”
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182
Lee-Yang theory of criticality in interacting quantum many-body systems
Published 2021-09-01“…Here, we present a Lee-Yang theory of quantum phase transitions including a method to determine quantum critical points which readily can be implemented within the tensor network formalism and even in realistic experimental setups. …”
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183
TASI Lectures on the Emergence of Bulk Physics in AdS/CFT
Published 2019“…The primary topics are sufficient conditions for a conformal field theory to have a semiclassical dual, bulk reconstruction, the quantum error correction interpretation of the correspondence, tensor network models of holography, and the quantum Ryu-Takayanagi formula.…”
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184
An ontology-based deep learning approach for knowledge graph completion with fresh entities
Published 2019“…Although the initialization method is general and applicable to different KG embedding approaches in the literature, such as TransE or RESCAL, this paper experiments with deep learning and specifically with the neural tensor network (NTN) model. The experimental results show that the proposed method can improve link classification for a given relation by up to 15%. …”
Conference item -
185
Behavior of l-bits near the many-body localization transition
Published 2018“…Our algorithm to construct the Pauli-algebra of l-bits combines exact diagonalization and a tensor network algorithm developed for efficient diagonalization of large FMBL Hamiltonians. …”
Journal article -
186
Local integrals of motion for topologically ordered many-body localized systems
Published 2020-07-01“…Our approach is well suited for tensor-network methods and is expected to allow these to resolve highly excited finite-size-split topological eigenspaces despite their overlap in energy. …”
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187
Measurement as a Shortcut to Long-Range Entangled Quantum Matter
Published 2022-12-01“…The three classes are inspired by distinct physical insights, including tensor-network constructions, the multiscale entanglement renormalization ansatz, and parton constructions. …”
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188
Generating Function for Projected Entangled-Pair States
Published 2024-03-01“…To solve this problem, here we extend the generating-function approach for tensor-network diagrammatic summation, a scheme previously proposed in the context of matrix product states. …”
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189
Reviving product states in the disordered Heisenberg chain
Published 2023-09-01“…To support our claim, we combine analytic arguments with large-scale tensor network numerics for the disordered Heisenberg chain. …”
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190
Disentangling sources of quantum entanglement in quench dynamics
Published 2019-08-01“…Finally, we discuss the relevance of our findings for the development of tensor-network-based algorithms for quantum dynamics.…”
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191
Boundary and domain wall theories of 2d generalized quantum double model
Published 2023-07-01“…Finally, via the Hopf tensor network representation of the quantum many-body states, we solve the ground state of the model in the presence of the boundary and domain wall.…”
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192
Triggering boundary phase transitions through bulk measurements in two-dimensional cluster states
Published 2023-10-01“…We investigate the phase diagram at the boundary of an infinite two-dimensional cluster state subject to bulk measurements using tensor network methods. The state is subjected to uniform measurements M=cosθZ+sinθX on the lower boundary qubits and in all bulk qubits. …”
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193
Lattice model constructions for gapless domain walls between topological phases
Published 2022-04-01“…As simple examples, we numerically study several finite groups (including both Abelian and non-Abelian finite group such as S_{3}) in 2D using the state-of-the-art loop optimization of tensor network renormalization algorithm. We also propose a physical mechanism for understanding the gapless nature of these particular domain wall models. …”
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194
Spreading of correlations and entanglement in the long-range transverse Ising chain
Published 2021-03-01“…Using a state of the art tensor-network approach, complemented by analytic calculations and considering various observables, we show that a weak form of causality emerges, characterized by nonuniversal dynamical exponents. …”
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195
A new technique to incorporate multiple fermion flavors in tensor renormalization group method for lattice gauge theories
Published 2023-11-01“…Abstract We propose a new technique to incorporate multiple fermion flavors in the tensor renormalization group method for lattice gauge theories, where fermions are treated by the Grassmann tensor network formalism. The basic idea is to separate the site tensor into multiple layers associated with each flavor and to introduce the gauge field in each layer as replicas, which are all identified later. …”
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196
A molecular movie of ultrafast singlet fission
Published 2019“…Here, combining excited-state time-domain Raman spectroscopy and tree-tensor network state simulations, we construct the full 108-atom molecular movie of ultrafast singlet fission in a pentacene dimer, explicitly treating 252 vibrational modes on 5 electronic states. …”
Journal article -
197
A quantum-inspired approach to exploit turbulence structures
Published 2022“…We present the results for interscale correlations of two paradigmatic flow examples, and use these insights along with tensor network theory to design a structure-resolving algorithm for simulating turbulent flows. …”
Journal article -
198
Theoretical error performance analysis for variational quantum circuit based functional regression
Published 2023-01-01“…In this work, we first put forth an end-to-end QNN, TTN-VQC, which consists of a quantum tensor network based on a tensor-train network (TTN) for dimensionality reduction and a VQC for functional regression. …”
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199
Collisionless drag for a one-dimensional two-component Bose-Hubbard model
Published 2021-05-01“…We theoretically investigate the elusive Andreev-Bashkin collisionless drag for a two-component one-dimensional Bose-Hubbard model on a ring. By means of tensor network algorithms, we calculate the superfluid stiffness matrix as a function of intra- and interspecies interactions and of the lattice filling. …”
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200
Cosmology from random entanglement
Published 2023-11-01“…Finally, under genericity assumptions, we argue for a non-isometric to approximately-isometric transition of the cosmology-to-boundary map for “simple” states on the cosmology as a function of the bulk entanglement, with tensor network toy models of our setup as a guide.…”
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