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Large-Scale Structure of Entanglement

Project description

Unlocking the hidden structure of quantum entanglement

Entanglement is a key resource for quantum computing, but its study also supports advances in condensed matter physics, quantum field theory and even quantum gravity. Though the large-scale structure of entanglement (LSSE) is an important element, little is known about it. The LSSE can uncover stable, system-wide properties of entanglement that are imperceptible in small systems, providing new means of classifying phases of matter and elucidating exotic phenomena such as entanglement embezzlement, in which entanglement is stolen without a trail. In this context, the ERC-funded LargEnt project aims to develop new tools for exploring the LSSE and elucidate its relation to topological order and criticality. Its discoveries could reshape our understanding of quantum entanglement.

Objective

Entanglement is the key resource for quantum information processing. Its study has revolutionized our understanding of condensed matter, quantum fields and even quantum gravity.
One of the most fascinating insights is the connection between the classification of topological phases of matter and long-range entanglement.

This project will explore a novel aspect of entanglement in ground states of quantum many-body systems:
their large-scale structure of entanglement (LSSE), describing those entanglement properties that are stable against perturbations on arbitrary finite subsystems.
Just as macroscopic bulk properties, the large-scale structure of entanglement only sharply reveals itself in systems with an unbounded number of degrees of freedom.
Yet, it can uncover entanglement properties of finite-size ground states otherwise invisible, such as their capacity to embezzle entanglement: the task of extracting entanglement without leaving a trace. Relativistic quantum fields and certain critical systems exhibit this counterintuitive property.

Remarkably little is known about the LSSE of quantum many-body system and its relation to phases of matter.
Moreover, the LSSE of quantum fields has been argued to be radically modified by gravity -- disabling their ability to embezzle entanglement. Holographic duality in turn establishes a correspondence between quantum gravity and critical many-body systems, placing the LSSE at the center of modern theoretical physics.

The project LargEnt will establish a new paradigm to describe the entanglement content of many-body systems, by a) developing the necessary tools to determine the LSSE, b) clarifying the relation between LSSE, criticality, and topological order, and c) developing a theory to determine whether ground states of many-body systems or vacua of quantum fields can act as multipartite embezzlers. The results of LargEnt will add a new dimension to the classification of ground states of many-body systems.

Fields of science (EuroSciVoc)

Keywords

Programme(s)

Topic(s)

Funding Scheme

HORIZON-ERC - HORIZON ERC Grants

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Call for proposal

(opens in new window) ERC-2025-STG

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Host institution

GOTTFRIED WILHELM LEIBNIZ UNIVERSITAET HANNOVER
Net EU contribution
€ 1 499 297,00
Address
WELFENGARTEN 1
30167 Hannover
Germany
Region
Niedersachsen Hannover Region Hannover
Activity type
Higher or Secondary Education Establishments
Links
Total cost
€ 1 499 297,00

Beneficiaries (1)