Objective
Quantum field theories (QFTs) are our best models to describe nature, from new phases of matter to black holes. Still, to simulate them efficiently, we need to know the best ways to create interesting quantum states from the basic building blocks used in computation. This problem necessitates a precise definition of “quantum complexity”, to quantify what is hard and what is easy in QFTs, and its provision is one of the most urgent problems at the interplay between theoretical physics, quantum information and computation.
This project aims to develop precise measures of the complexity of states and operators in QFTs and apply them, in the holographic correspondence, as new probes of black hole interiors.
Recent attempts to quantify complexity, pioneered by PI and his group, have explored geometric, path integral and Krylov methods, preparing the ground for a universal approach to complexity in quantum systems. Building on this, the project objectives are to:
- synthesise and develop complexity measures for QFTs,
- formulate them in exact holographic models,
- apply them to shed new light on the physics behind black-hole horizons and spacetime singularities.
Developing complexity measures in open quantum systems, models with additional symmetries and quantum scars, and quantifying the complexity of modular evolution are among the key milestones to achieve the objectives. Our methods will involve analytical and numerical computations in free and interacting QFTs, including integrability, conformal symmetry, Krylov basis, Arnoldi algorithm, and finally, the AdS/CFT correspondence and quantum gravity. This interdisciplinary and timely project will push the boundaries of our understanding of QFTs and black holes. The new tools that we will develop will allow us to chart the complexity frontier of quantum many-body systems, help to understand thermalisation, and shed light on the behaviour of matter near cosmological singularities relevant to our early universe.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
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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-2023-COG
See all projects funded under this callHost institution
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.
10691 Stockholm
Sweden
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.