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Tracking Information in Quantum Networks

Project description

Probing quantum disorder in quantum information devices

In information theory, entropy measures the randomness or uncertainty in a system. It is a fundamental concept especially in the theory of quantum communication or quantum algorithms. Funded by the Marie Skłodowska-Curie Actions programme, the TITAN project aims to further investigate entropy inequalities, which have been poorly explored in quantum information processing. The project will investigate the entropy changes of quantum gates and channels that can be part of an encoding or decoding circuit or act as nodes in a quantum neural network. An advanced framework that describes entropy inequalities should help design next-generation quantum devices.

Objective

Recent technological advances allow to build revolutionary devices for information processing by making use of quantum mechanics. Most strikingly, quantum communication allows to transmit information with physical security guarantees and quantum algorithms solve problems that are otherwise computationally unfeasible. Having such quantum technologies in sight, it becomes imperative to investigate what can be achieved in practice but also what the ultimate limitations are. Since both questions are fundamentally concerned with processing information, it is natural to seek an information theoretic approach to find an answer.
Entropy inequalities are among the most important tools in the theory of classical and quantum information processing. They have been successfully applied to bound the information flow in classical information networks and to understand the inner workings of deep neural networks. However, in the quantum case our understanding of such inequalities is currently lacking. Most importantly, the quantum information community is missing a developed theory regarding conditioning on quantum systems. This fact hinders us in fully judging the potential impact of modern quantum technologies, since one is not able to effectively determine the properties of the underlying operations.
I propose to set up a conceptually novel information-theoretic framework to quantify practical advantages of quantum-based devices for network communication and machine learning, by mitigating the quantum conditioning problem. I will develop entropic inequalities that describe the change of entropy under specific operations, in particular, quantum gates and channels that can be part of an encoding or decoding circuit for quantum communication, a quantum internet or act as nodes in a quantum neural network. I will develop a framework that allows to prove such entropy inequalities, on a unified basis and employ them to better understand these important technologies of the future.

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MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)

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Call for proposal

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(opens in new window) H2020-MSCA-IF-2020

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Coordinator

TECHNISCHE UNIVERSITAET MUENCHEN
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.

€ 262 948,80
Address
Arcisstrasse 21
80333 Muenchen
Germany

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Region
Bayern Oberbayern München, Kreisfreie Stadt
Activity type
Higher or Secondary Education Establishments
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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.

€ 262 948,80

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