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

Physicists dating back to Feynman have lamented the difficulties of applying the variational
principle to quantum field theories. In nonrelativistic quantum field theories, the challenge is …

Renormalization group theory of tensor network states provides a powerful tool for studying
quantum many-body problems and a new paradigm for understanding entangled structures …

We introduce a new class of states for bosonic quantum fields which extend tensor network
states to the continuum and generalize continuous matrix product states to spatial …

We present a continuous tensor-network construction for the states of quantum fields called
continuous projected entangled pair state (cPEPS), which enjoys the same spatial and …

We introduce a pictorial approach to quantum information, called holographic software. Our
software captures both algebraic and topological aspects of quantum networks. It yields a bi …

This work is concerned with tree tensor network operators (TTNOs) for representing
quantum Hamiltonians. We first establish a mathematical framework connecting tree …

Solving the many-body Schrödinger equation in continuous spaces with the presence of
strong correlations is an extremely important and challenging issue in quantum physics. In …

We study the interplay between symmetry representations of the physical and virtual space
on the class of tensor network states for critical spins systems known as field tensor network …

We develop the continuous matrix-product states approach for description of
inhomogeneous one-dimensional quantum systems with long-range interactions. The …