831 citations · 8k across the 103 of their papers we have counts for
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Study of anyon condensation and topological phase transitions from a topological phase using Projected Entangled Pair States
Mohsin Iqbal, Kasper Duivenvoorden, Norbert Schuch
We use Projected Entangled Pair States (PEPS) to study topological quantum phase transitions. The local description of topological order in the PEPS formalism allows us to set up o…
Matrix product state approximations for infinite systems
Norbert Schuch, Frank Verstraete
We prove that ground states of gapped local Hamiltonians on an infinite spin chain can be efficiently approximated by matrix product states with a bond dimension which scales as D~…
Continuum limits of Matrix Product States
Gemma De las Cuevas, Norbert Schuch, David Perez-Garcia +1
We determine which translationally invariant matrix product states have a continuum limit, that is, which can be considered as discretized versions of states defined in the continu…
Irreducible forms of Matrix Product States: Theory and Applications
Gemma De las Cuevas, J. Ignacio Cirac, Norbert Schuch +1
The canonical form of Matrix Product States (MPS) and the associated fundamental theorem, which relates different MPS representations of a state, are the theoretical framework unde…
A generalization of the injectivity condition for Projected Entangled Pair States
Andras Molnar, Yimin Ge, Norbert Schuch +1
We introduce a family of tensor network states that we term semi-injective Projected Entangled-Pair States (PEPS). They extend the class of injective PEPS and include other states,…
symmetry breaking in Projected Entangled Pair State models
Manuel Rispler, Kasper Duivenvoorden, Norbert Schuch
We consider Projected Entangled Pair State (PEPS) models with a global symmetry, which are constructed from -symmetric tensors and are thus …