Objective
Quantum complexity measures how many elementary operations are required to prepare a given quantum state or to implement a given quantum operation. A key concept for both quantum computing and for physics, it can identify intricate entanglement structures that elude traditional methods based on locality and entanglement. My research will leverage my new tools in quantum complexity to answer two key questions: (i) What are the fundamental limits to engineering quantum complexity on quantum hardware, and how can they be reached? and (ii) How can we describe the physical behavior of many-body systems qualitatively and quantitatively beyond the low-complexity regime? Both questions relate closely to the structure of quantum states beyond the low-complexity regime and draw on my expertise in quantum error correction, quantum thermodynamics, and quantum complexity, in order to enable new approaches to study entangled phases of quantum matter.
I will build a unified picture of the fundamental minimal overheads in number of qubits and computation complexity required to process information that is encoded in a quantum error-correcting code; I will identify regimes allowing for schemes with reduced overheads. I will then establish a stronger tie between quantum complexity and quantum chaos, targeting a full robust proof that the quantum complexity measures the evolution time of generic quantum chaotic systems even up to very long times. I will finally add the dimension of quantum complexity to the fundamental laws of physics by identifying at which complexity scales quantum processes are allowed to happen. My analysis will be enabled by my recently developed tools in quantum complexity.
Overall, my research will push forward the frontiers of quantum information science by developing the crucial supporting theory for near-term applications of quantum computers, as well as by transforming our understanding of many-body phenomena in physics beyond low complexity scales.
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.
- natural sciences physical sciences thermodynamics
- natural sciences computer and information sciences computer security cryptography
- engineering and technology electrical engineering, electronic engineering, information engineering electronic engineering computer hardware quantum computers
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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-2025-COG
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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.
14195 BERLIN
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.