Schrödinger probably had a cat, but he surely coined the concept of entanglement as the general

characterization of quantum correlations. In his words (1935): "the best possible knowledge of a

whole does not necessarily include the best possible knowledge of all its parts." The theory of

entanglement has then been mainly developed in quantum information theory, where it serves as

a universal resource for the different tasks (e.g. quantum computation).

But one of the key evolutions in physics in the last decade has been the realization that

entanglement is actually important for all fields that involve quantum phenomena, like condensed

matter physics, high energy physics and even quantum gravity.

The formalism of tensor network states (TNS) is one of the groundbreaking developments that

emerged in this context. It provides an entirely novel language for the understanding and

simulation of quantum many body systems in terms of their entanglement properties.

In this project we want to further advance the 'entanglement program' for quantum field theories

(QFT), that for instance appear in the Standard Model of particle physics. We will address diverse

questions like: How do symmetries affect the entanglement properties? What is the entanglement

of empty space? Can we encode the entanglement at different length scales in an extra emerging

dimension? And how does this all help us to for specific challenging problems, like the numerical

simulation of non-equilibrium physics?Schrödinger probably had a cat, but he surely coined the concept of entanglement as the general

characterization of quantum correlations. In his words (1935): "the best possible knowledge of a

whole does not necessarily include the best possible knowledge of all its parts." The theory of

entanglement has then been mainly developed in quantum information theory, where it serves as

a universal resource for the different tasks (e.g. quantum computation).

But one of the key evolutions in physics in the last decade has been the realization that

entanglement is actually important for all fields that involve quantum phenomena, like condensed

matter physics, high energy physics and even quantum gravity.

The formalism of tensor network states (TNS) is one of the groundbreaking developments that

emerged in this context. It provides an entirely novel language for the understanding and

simulation of quantum many body systems in terms of their entanglement properties.

In this project we want to further advance the 'entanglement program' for quantum field theories

(QFT), that for instance appear in the Standard Model of particle physics. We will address diverse

questions like: How do symmetries affect the entanglement properties? What is the entanglement

of empty space? Can we encode the entanglement at different length scales in an extra emerging

dimension? And how does this all help us to for specific challenging problems, like the numerical

simulation of non-equilibrium physics?