The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

Tensor networks provide succinct representations of quantum many-body states and are an
important computational tool for strongly correlated quantum systems. Their expressive and …

Tensor networks have a gauge degree of freedom on the virtual degrees of freedom that are
contracted. A canonical form is a choice of fixing this degree of freedom. For matrix product …

Efficient characterization of higher dimensional many-body physical states presents
significant challenges. In this Letter, we propose a new class of projected entangled pair …

Tensor network states (TNS) are a powerful approach for the study of strongly correlated
quantum matter. The curse of dimensionality is addressed by parametrizing the many-body …

Density matrix renormalization group (DMRG) and its extensions in the form of matrix
product states are arguably the choice for the study of one-dimensional quantum systems in …

The exact contraction of a generic two-dimensional (2D) tensor network state (TNS) is
known to be exponentially hard, making simulation of 2D systems difficult. The recently …

The study of undecidability in problems arising from physics has experienced a renewed
interest, mainly in connection with quantum information problems. The goal of this review is …

Tensor network states form a variational ansatz class widely used, both analytically and
numerically, in the study of quantum many-body systems. It is known that if the underlying …

Efficient classical simulation of the Schrodinger equation is central to quantum mechanics,
as it is crucial for exploring complex natural phenomena and understanding the fundamental …