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Found 12 papers, 6 papers with code
Generative modeling with projected entangled-pair states
We argue and demonstrate that projected entangled-pair states (PEPS) outperform matrix product states significantly for the task of generative modeling of datasets with an intrinsic two-dimensional structure such as images.
Efficient MPS methods for extracting spectral information on rings and cylinders
Despite the explicit breaking of translation symmetry by the MPS representation, we show that momentum emerges as a good quantum number, and can be exploited for labeling excitations on top of MPS ground states.
Strongly Correlated Electrons Quantum Physics
A scaling hypothesis for projected entangled-pair states
We introduce a new paradigm for scaling simulations with projected entangled-pair states (PEPS) for critical strongly-correlated systems, allowing for reliable extrapolations of PEPS data with relatively small bond dimensions $D$.
Quantum Physics
Quantum error correction thresholds for the universal Fibonacci Turaev-Viro code
We consider a two-dimensional quantum memory of qubits on a torus which encode the extended Fibonaccistring-net code, and devise strategies for error correction when those qubits are subjected to depolarizing noise. Building on the concept of tube algebras, we construct a set of measurements and of quantum gates whichmap arbitrary qubit errors to the string-net subspace and allow for the characterization of the resulting errorsyndrome in terms of doubled Fibonacci anyons.
Quantum Physics Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory
Matrix product operator symmetries and intertwiners in string-nets with domain walls
While the prevailing abstract categorical approach is sufficient to describe the structure of topological phases, explicit tensor network representations are required to simulate these systems on a computer, such as needed for calculating thresholds of quantum error-correcting codes based on string-nets with boundaries.
Quantum Physics High Energy Physics - Theory Mathematical Physics Mathematical Physics Quantum Algebra
Solving frustrated Ising models using tensor networks
Motivated by the recent success of tensor networks to calculate the residual entropy of spin ice and kagome Ising models, we develop a general framework to study frustrated Ising models in terms of infinite tensor networks %, i. e. tensor networks that can be contracted using standard algorithms for infinite systems.
Tensor Networks
Statistical Mechanics
Quantum Physics
The Three-Legged Tree Tensor Networks with SU(2)- and molecular point group symmetry
In this way, T3NS combines the low computational cost of matrix product states and their simplicity for implementing symmetries, with the better entanglement representation of tree tensor networks.
Strongly Correlated Electrons Chemical Physics
Unifying time evolution and optimization with matrix product states
In particular, our method is compatible with any Hamiltonian for which DMRG can be implemented efficiently and DMRG is obtained as a special case of imaginary time evolution with infinite time step.
Quantum Physics Strongly Correlated Electrons
Faster identification of optimal contraction sequences for tensor networks
The efficient evaluation of tensor expressions involving sums over multiple indices is of significant importance to many fields of research, including quantum many-body physics, loop quantum gravity, and quantum chemistry.
Strongly Correlated Electrons Computational Physics Quantum Physics
Variational Matrix Product Ansatz for Nonuniform Dynamics in the Thermodynamic Limit
We describe how to implement the time-dependent variational principle for matrix product states in the thermodynamic limit for nonuniform lattice systems.
Strongly Correlated Electrons Quantum Physics
Variational matrix product ansatz for dispersion relations
A variational ansatz for momentum eigenstates of translation invariant quantum spin chains is formulated.
Quantum Physics Statistical Mechanics Strongly Correlated Electrons
Time-dependent variational principle for quantum lattices
The algorithm is illustrated using both imaginary time and real-time examples.
Strongly Correlated Electrons Statistical Mechanics Quantum Physics
