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141
Residual matrix product state for machine learning
Published 2023-06-01“…Tensor network, which originates from quantum physics, is emerging as an efficient tool for classical and quantum machine learning. …”
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142
Tensor computing for big data analytic
Published 2021“…The rationale behind this thesis is to explore new applications of tensor network computing in the big data deep learning era. …”
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143
The large N limit of icMERA and holography
Published 2022-04-01“…Abstract In this work, we compute the entanglement entropy in continuous icMERA tensor networks for large N models at strong coupling. …”
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144
Grassmann higher-order tensor renormalization group approach for two-dimensional strong-coupling QCD
Published 2023-01-01“…We present a tensor-network approach for two-dimensional strong-coupling QCD with staggered quarks at nonzero chemical potential. …”
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145
Continuous and time-discrete non-Markovian system-reservoir interactions: Dissipative coherent quantum feedback in Liouville space
Published 2021-06-01“…Based on tensor-network realizations of path integrals reducing exponential memory scaling to polynomial efficiency and a Liouville space implementation of a time-discrete quantum memory, we investigate a quantum system simultaneously exposed to two structured reservoirs. …”
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146
Dynamical topological excitations in parafermion chains
Published 2021-01-01“…Here, by using a combination of tensor network and kernel polynomial techniques, we demonstrate the emergence of zero modes and finite energy excitations in many-body parafermion chains. …”
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147
Variational quantum eigensolver with fewer qubits
Published 2019-09-01“…One can obtain a tensor network representation of the ground state using a number of qubits smaller than the physical degrees of freedom. …”
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Article -
148
Universal thermodynamics in the Kitaev fractional liquid
Published 2020-10-01“…With recently developed exponential tensor-network approach, we clear the pathway and perform finite-temperature simulations of the extended Kitaev model with additional interactions common in real materials. …”
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Article -
149
Contracting projected entangled pair states is average-case hard
Published 2020-01-01“…In recent years, the tensor network ansatz has established itself as one of the most promising approaches enabling striking efficiency of simulating static properties of one-dimensional systems and abounding numerical applications in condensed matter theory. …”
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150
Estimating the randomness of quantum circuit ensembles up to 50 qubits
Published 2022-11-01“…Our work shows that large-scale tensor network simulations could provide important hints toward open problems in quantum information science.…”
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Article -
151
Ashkin-Teller phase transition and multicritical behavior in a classical monomer-dimer model
Published 2023-10-01“…We use Monte Carlo simulations and tensor network methods to study a classical monomer-dimer model on the square lattice with a hole (monomer) fugacity z, an aligning dimer-dimer interaction u that favors columnar order, and an attractive dimer-dimer interaction v between two adjacent dimers that lie on the same principal axis of the lattice. …”
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Article -
152
Hubbard model on the Bethe lattice via variational uniform tree states: Metal-insulator transition and a Fermi liquid
Published 2021-04-01“…For this purpose, we introduce and develop the “variational uniform tree state” (VUTS) algorithm, a tensor-network algorithm which generalizes the variational uniform matrix product state algorithm to tree tensor networks. …”
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153
Entanglement and Chaos in Quantum Field Theory and Gravity
Published 2024“…We study toy models that consist of putting a lattice gauge theory on a tensor network, and we show how such toy models can be made background-independent. …”
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Thesis -
154
Classically optimized Hamiltonian simulation
Published 2023-06-01“…We present classical algorithms based on tensor network methods to optimize quantum circuits for this task. …”
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Article -
155
Quantum Compressive Sensing: Mathematical Machinery, Quantum Algorithms, and Quantum Circuitry
Published 2022-07-01“…Recent efforts in the literature consider instead a data-driven approach, training tensor networks to learn the structure of signals of interest. …”
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156
Grassmann time-evolving matrix product operators for equilibrium quantum impurity problems
Published 2024-01-01“…Tensor-network-based methods are promising candidates to solve quantum impurity problems (QIP). …”
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Article -
157
Holographic measurement and bulk teleportation
Published 2022-12-01“…Using a bulk calculation in AdS 3 and tensor network models of holography (in particular, the HaPPY code and random tensor networks), we show that the portions of the bulk geometry that are preserved after the measurement depend on the size of A and the state we project onto. …”
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158
Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order
Published 2010“…We study the renormalization group flow of the Lagrangian for statistical and quantum systems by representing their path integral in terms of a tensor network. Using a tensor-entanglement-filtering renormalization approach that removes local entanglement and produces a coarse-grained lattice, we show that the resulting renormalization flow of the tensors in the tensor network has a nice fixed-point structure. …”
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159
Modular matrices as topological order parameter by a gauge-symmetry-preserved tensor renormalization approach
Published 2014“…In this paper, we will introduce a systematic numerical method based on tensor network to calculate modular matrices in two-dimensional systems, which can fully identify topological order with gapped edge. …”
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160
On the renormalization group fixed point of the two-dimensional Ising model at criticality
Published 2023-09-01“…In contrast with expectations from tensor network renormalization (TNR), we show that a simple, explicit analytic description of this fixed point using operator-algebraic renormalization (OAR) is possible. …”
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