A discretization-plus-coarse-graining scheme turns continuous-space interacting particles into a tensor-network-representable lattice model, enabling partition-function calculations for the 2D hard-disk problem.
Or´ us, Tensor networks for complex quantum systems, Nature Reviews Physics1, 538 (2019)
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A trapped-ion quantum computer simulates 2+1D Z2 lattice gauge theory dynamics, revealing glueball excitations and multi-order string breaking.
Quantum simulation on trapped ions shows that a plaquette term in a 2+1D U(1) gauge theory enables string propagation in the plane and extended matter creation, realizing genuine two-dimensional dynamics.
An optimized matrix product state representation with DMRG-inspired solver solves the Peierls-Boltzmann transport equation for crystalline silicon phonons with high fidelity at 10^{-3} compression and sublinear scaling in grid size.
Analytical Pauli-string coefficients plus multistage state refinement let tensor networks find low eigenstates of million-dimensional Laplacians with high fidelity on 20 qubits.
Compressible tight-binding Hamiltonians on N=2^L sites map to L-pseudospin MPOs and can be solved at billion-site scale with TensorBinding.jl without explicit matrix storage.
Tensor network calculations reveal rich entanglement patterns, quantum phase transitions, and tunable spin coherence in a molecular Lieb-lattice circuit designed for spin-based quantum computing.
Numerical tensor-network study identifies Néel, Ising, collinear, and incommensurate spiral phases plus their transitions in the J1-J2 XY antiferromagnet on the honeycomb lattice.
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Statistical mechanics in continuous space with tensor network methods
A discretization-plus-coarse-graining scheme turns continuous-space interacting particles into a tensor-network-representable lattice model, enabling partition-function calculations for the 2D hard-disk problem.
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Observation of glueball excitations and string breaking in a $2+1$D $\mathbb{Z}_2$ lattice gauge theory on a trapped-ion quantum computer
A trapped-ion quantum computer simulates 2+1D Z2 lattice gauge theory dynamics, revealing glueball excitations and multi-order string breaking.
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Observation of genuine $2+1$D string dynamics in a U$(1)$ lattice gauge theory with a tunable plaquette term on a trapped-ion quantum computer
Quantum simulation on trapped ions shows that a plaquette term in a 2+1D U(1) gauge theory enables string propagation in the plane and extended matter creation, realizing genuine two-dimensional dynamics.
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Solving the Peierls-Boltzmann transport equation with matrix product states
An optimized matrix product state representation with DMRG-inspired solver solves the Peierls-Boltzmann transport equation for crystalline silicon phonons with high fidelity at 10^{-3} compression and sublinear scaling in grid size.
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Efficient Pauli-decomposition and multistage state-refinement for tensor network based differential equation solver
Analytical Pauli-string coefficients plus multistage state refinement let tensor networks find low eigenstates of million-dimensional Laplacians with high fidelity on 20 qubits.
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Tensor network solvers for ultra-large tight-binding Hamiltonians: algorithms and applications
Compressible tight-binding Hamiltonians on N=2^L sites map to L-pseudospin MPOs and can be solved at billion-site scale with TensorBinding.jl without explicit matrix storage.
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Entanglement in a molecular Lieb-lattice quantum computing circuit: A tensor network study
Tensor network calculations reveal rich entanglement patterns, quantum phase transitions, and tunable spin coherence in a molecular Lieb-lattice circuit designed for spin-based quantum computing.
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Magnetic phases in the $J_{1}$-$J_{2}$ antiferromagnetic XY model on the honeycomb lattice
Numerical tensor-network study identifies Néel, Ising, collinear, and incommensurate spiral phases plus their transitions in the J1-J2 XY antiferromagnet on the honeycomb lattice.
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