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.
Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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HORIZON.1.1 - European Research Council (ERC)
MAIN PROGRAMME
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Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
HORIZON-ERC - HORIZON ERC Grants
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) ERC-2025-STG
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
30167 Hannover
Germany
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.