A tensor network state contracts auxiliary indices of local tensors to encode a many-body wavefunction.
A matrix product state represents one-dimensional amplitudes as products of finite matrices. Its bond dimension bounds the Schmidt rank across a cut.
An MPS tensor is injective after blocking when products of its physical matrices span the full virtual matrix algebra.
An MPS parent Hamiltonian is a sum of local projectors onto the orthogonal complement of the tensor's local support. The MPS is a frustration-free ground state.
A matrix product operator contracts a one-dimensional chain of tensors with physical input and output indices.
A projected entangled pair state generalizes an MPS to higher-dimensional lattices. Cutting a region intersects one virtual bond per boundary edge.
A projected entangled pair operator is a higher-dimensional tensor-network operator with physical input and output legs.
Articles by others on the same topic
There are currently no matching articles.