Objective
The foundation of todays information-oriented society is based on Information Theory. Entropy is a fundamental concept in both classical and quantum information theory, measuring the uncertainty and the information content present in the state of a physical system. The Asymptotic Equipartition Property (AEP) asserts that the entropy of smaller parts accumulates to produce the total entropy of the entire system, under the assumption that the individual parts are identical and independent. A remarkable generalization of this property is the Entropy Accumulation Theorem (EAT) which states that entropy accumulation occurs more generally without an independence assumption, provided one quantifies the uncertainty about the individual systems by the von Neumann entropy of suitably chosen conditional states. These two results are central in the asymptotic analysis of entropy measures in finite-dimensional quantum systems with a wide range of applications in data compression, source coding, and Quantum Key Distribution.
Despite major advances in the study of entropy in quantum information theory, the fundamental limitations of extending the above concepts to infinite-dimensional systems are far from being understood. The main objective of this project is to develop novel mathematical tools to overcome these difficulties and extend these ideas in the framework of abstract von Neumann algebras. In particular, our essential goal will be to establish two main concepts- Asymptotic Equipartition and Entropy Accumulation in von Neumann algebras acting on infinite-dimensional Hilbert spaces. As a consequence, the generalized version of these two concepts will have direct applications in continuous variable Quantum Key Distribution and other cryptographic protocols, representing a small but important contribution to the European Commissions Quantum Technologies Flagship supporting pioneering research on quantum science.
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.1.2 - Marie Skłodowska-Curie Actions (MSCA)
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-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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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) HORIZON-MSCA-2022-PF-01
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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.
78153 Le Chesnay Cedex
France
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.