-
201
Coarse graining of spin net models: dynamics of intertwiners
Published 2013-01-01“…For a certain class of these spin net models we determine the phase diagram and therefore the continuum phases via a coarse graining procedure based on tensor network renormalization. This procedure will also reveal an unexpected fixed point, which turns out to define a new triangulation invariant vertex model.…”
Get full text
Article -
202
Solitonic in-gap modes in a superconductor-quantum antiferromagnet interface
Published 2020-06-01“…This genuine many-body problem is solved exactly by employing a combination of kernel polynomial and tensor network techniques. We unveil the nature of such zero modes by showing that they can be adiabatically connected to solitonic solutions between a superconductor and a mean-field antiferromagnet. …”
Get full text
Article -
203
Adiabatic Spectroscopy and a Variational Quantum Adiabatic Algorithm
Published 2022-06-01“…We benchmark for a nonintegrable spin-1/2 transverse and longitudinal Ising chain with N=53 sites using tensor-network techniques. Using a black-box gradient-based approach, we report a reduction in the total evolution time for a given desired ground-state fidelity by a factor of 10, which makes our method suitable for the limited decoherence time of noisy-intermediate scale quantum devices.…”
Get full text
Article -
204
Enhancing combinatorial optimization with classical and quantum generative models
Published 2024-03-01“…We focus on a quantum-inspired version of GEO relying on tensor-network Born machines, and referred to hereafter as TN-GEO. …”
Get full text
Article -
205
Entanglement renormalization of a T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed CFT
Published 2022-07-01“…Abstract In this work we use cMERA, a continuous tensor network, to find a Gaussian approximation to the ground state of a T T ¯ $$ \overline{T} $$ -deformed scalar CFT on the line, to first order in the deformation parameter. …”
Get full text
Article -
206
Evidence of a spin liquid with hard-core bosons in a square lattice
Published 2012-01-01“…We numerically investigated the phase diagram of the J _1 – J _2 XY model using both the tensor network algorithm for infinite systems and the exact diagonalization for small clusters and found strong evidence that in the intermediate region around J _2 / J _1 ∼ 0.5, there is a spin liquid phase with vanishing magnetization and valence bond orders, which interconnects the Néel state on the J _2 ≪ J _1 side and the stripe antiferromagnetic phase on the J _2 ≫ J _1 side. …”
Get full text
Article -
207
Entanglement in the quantum phases of an unfrustrated Rydberg atom array
Published 2023-09-01“…However, the native long-range interactions between the atoms complicate experimental analysis and precise theoretical understanding of these systems. Here we use new tensor network algorithms capable of including all long-range interactions to study the ground state phase diagram of Rydberg atoms in a geometrically unfrustrated square lattice array. …”
Get full text
Article -
208
Nonliquid cellular states: Gluing gauge-higher-symmetry-breaking versus gauge-higher-symmetry-extension interfacial defects
Published 2022-06-01“…This approach shows gluing the familiar extended topological quantum field theory or conformal field theory data via topology, geometry, and renormalization consistency criteria (via certain modified group cohomology or cobordism theory data) in a tensor network can still guide us to analyze the nonliquid states. …”
Get full text
Article -
209
Learning Feynman Diagrams with Tensor Trains
Published 2022-11-01“…We use tensor network techniques to obtain high-order perturbative diagrammatic expansions for the quantum many-body problem at very high precision. …”
Get full text
Article -
210
Entanglement of purification: from spin chains to holography
Published 2018-01-01“…We find that such minimally entangled purifications have a number of applications, from enhancing entanglement-based tensor network methods for describing mixed states to elucidating novel aspects of the emergence of geometry from entanglement in the AdS/CFT correspondence.…”
Get full text
Article -
211
Controlling magnetic correlations in a driven Hubbard system far from half-filling
Published 2020“…We then demonstrate numerically using tensor network methods for a one-dimensional (1D) lattice that a slow modification of the driving strength allows near-adiabatic transfer of the system from the ground state of the underlying Hubbard model to the ground state of the effective t−J Hamiltonian. …”
Journal article -
212
Categorical Quantum Circuits
Published 2015“…Our specific approach has further applications in applying category theory and related ideas to tensor network simulation.…”
Report -
213
Entanglement entropy production in Quantum Neural Networks
Published 2023-05-01“…However, quantitative studies of the QNN-generated entanglement have been investigated only for up to few qubits. Tensor network methods allow to emulate quantum circuits with a large number of qubits in a wide variety of scenarios. …”
Get full text
Article -
214
Stabilizer entropies and nonstabilizerness monotones
Published 2023-08-01“…Finally, we discuss exact or efficient tensor-network numerical methods to compute SEs of matrix-product states (MPSs) for large numbers of qubits. …”
Get full text
Article -
215
Controlling quantum many-body systems using reduced-order modeling
Published 2024-02-01“…The method employs a tensor-network scheme to construct a reduced-order model of a subsystem's non-Markovian dynamics. …”
Get full text
Article -
216
Efficient separation of quantum from classical correlations for mixed states with a fixed charge
Published 2023-03-01“…Moreover, it can be efficiently computed using a tensor network representation of the state's density matrix. …”
Get full text
Article -
217
TensorCircuit: a Quantum Software Framework for the NISQ Era
Published 2023-02-01“…TensorCircuit is an open source quantum circuit simulator based on tensor network contraction, designed for speed, flexibility and code efficiency. …”
Get full text
Article -
218
Towards explicit discrete holography: Aperiodic spin chains from hyperbolic tilings
Published 2022-11-01“…The properties of this model are studied by using strong disorder renormalization group techniques, which provide a tensor network construction for the ground state of this spin chain. …”
Get full text
Article -
219
Living on the edge: a toy model for holographic reconstruction of algebras with centers
Published 2017-04-01“…The key new elements are the introduction of degrees of freedom on the links (edges) of the associated tensor network and their connection to further copies of the HaPPY code by an appropriate isometry. …”
Get full text
Article -
220
Neural network enhanced hybrid quantum many-body dynamical distributions
Published 2021-07-01“…Here we show that the combination of machine-learning methods and complementary many-body tensor network techniques substantially decreases the computational cost of quantum many-body dynamics. …”
Get full text
Article