Project description
Tackling challenges of sublinear quantum computation
With the ever-increasing scale of data and the sheer size of datasets, there is a dire need for ultrafast algorithms. With regard to the near-boundless dimensions in quantum systems, the need is even greater for algorithms that run in sublinear time – that is, even faster than the input itself can be read. To address this, the ERC-funded SUB-QUANT project aims to devise innovative technical and theoretical approaches to tackle the challenges of sublinear computation in quantum learning theory, property testing and complexity theory. This includes developing new models to design quantum algorithms and delegate quantum computation. It also involves advancing the quantum probabilistically checkable proofs conjecture by combining quantum computing and deep areas of mathematics.
Objective
The rapid rise in the scale of data is a shaping force in the evolution of computer science. With the ubiquity of massive datasets in recent years, there is an urgent need for ultra-fast algorithms that run in sublinear time, i.e. much faster than it takes to even read their input.
In the quantum era, this need is even more imperative, since the dimension of a quantum system scales exponentially in the number of quantum bits. Indeed, the description size of a system with merely 127 quantum bits exceeds 10^{76} real numbers, which is close to the number of atoms in the observable universe. Hence, sublinear computation is essential in the quantum regime.
This proposal is a high-risk high-gain research programme, which targets long-standing open problems in sublinear quantum computation via new and unique technical and conceptual approaches, traversing quantum learning theory, property testing, and complexity theory. This includes new paradigms for designing quantum algorithms, delegating quantum computation, and making progress on the quantum PCP conjecture.
The proposed research will pioneer new notions of quantum computation, motivated by real-world needs, and establish fundamental connections between quantum computing and deep areas of mathematics such as harmonic analysis and additive combinatorics.
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)
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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-2024-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.
CB2 1TN CAMBRIDGE
United Kingdom
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.