Cluster expansions for the exponential of local operators are constructed using tensor networks. In contrast to other approaches, the cluster expansion does not break any spatial or internal symmetries and exhibits a very favorable prefactor to the error scaling versus bond dimension. This is illustrated by time evolving a matrix product state using very large time steps, and by constructing a robust algorithm for finding ground states of two-dimensional Hamiltonians using projected entangled pair states as fixed points of two-dimensional transfer matrices.

Close

PrevNext

View figure in article

• Quantum computation
• Quantum correlations in quantum information
• Quantum entanglement
• Quantum simulation
• Temperature
• Thermal expansion
• 1-dimensional systems
• 2-dimensional systems
• Cluster expansion
• Heisenberg model
• Lattice models in condensed matter
• Perturbation theory
• Spin lattice models
• Symmetries in condensed matter
• Tensor network methods
• Variational approach
• XYZ model