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Quantum advantage through Gibbs sampling

Objective

One of the earliest applications where quantum computers are expected to outperform current supercomputers is the simulation of quantum systems. This promises to transform various scientific fields, including condensed matter physics and quantum chemistry. To this end, advanced quantum algorithms have been developed to tackle essential tasks, such as preparing complex quantum systems and computing their physical properties. Establishing fundamental efficiency guarantees for these algorithms, along with proving quantum advantage over any classical method, has become an urgent priority in quantum computing.

In parallel, recent years have seen steady progress in establishing runtime guarantees for randomized methods known as Markov Chain Monte Carlo (MCMC) for the numerical integration of multivariate functions, with applications in optimization, the study of phase transitions in statistical physics, and approximating hard combinatorial and graph enumeration problems. Dissipative preparation (DP) methods extending MCMC to the quantum domain have recently gained significant attention, yet their potential computational benefits remain largely unexplored. The main objective of this project is precisely to build a theoretical framework for proving quantum computational advantage via dissipative preparation.

By pioneering functional analytic, probabilistic, and information-theoretic tools, we will identify setups where DP provides substantial end-to-end speedups over general-purpose classical methods for computing physical properties. To address the challenge of quantum information's sensitivity to environmental noise, we will develop a framework for certifying DP algorithms and implement them fault-tolerantly.
Overall, this project will provide a significant step toward realizing the practical benefits of quantum computing for addressing meaningful simulation tasks.

Keywords

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Programme(s)

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Topic(s)

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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.

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.

(opens in new window) ERC-2026-STG

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Host institution

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE
Net EU contribution

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.

€ 1 499 427,00
Address
DOMAINE DE VOLUCEAU ROCQUENCOURT
78153 Le Chesnay Cedex
France

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Region
Ile-de-France Ile-de-France Yvelines
Activity type
Research Organisations
Links
Total cost

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.

€ 1 499 427,50

Beneficiaries (1)