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HEIndividual fellowship2023–2025

GRPSTABQIT · Group Stability and Quantum Information Theory

Horizon Europe — Marie Skłodowska-Curie Actions

Duration
2023-07-01 → 2025-06-30
EU contribution
€214,934
Participants
1
Scheme
HORIZON-TMA-MSCA-PF-EF

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Results in brief

Group Stability and Quantum Information Theory

The overarching theme of the mathematical content of this proposal is stability for countable discrete groups and its connections with quantum information theory, operator algebras, and ergodic theory. Quantum computing is an upcoming highly active research area with promising implications towards computational applications. However, the mathematical foundations of quantum information are not yet very well understood, and this project aims to advance our understanding of important mathematical concepts underlying quantum information. In our context, stability refers to the phenomenon of approximate properties being close to actual properties. This is important in a practical context: experimentally, it is nearly always impossible to get exact outcomes, and stability results would guarantee correct solutions if sufficiently good approximations are obtained. The main goals of this project are threefold: 1. Exploring application of stability in quantum information theory. 2. Establishing stability and approximation results for free product groups and deducing approximation results for factorizable quantum channels. 3. Investigating stability for the class of amenable group.

Data: CORDIS, © European Union

Project objective

The main focus of the project will be on stability properties for groups and their connections with quantum information theory. Intuitively, the term stability refers to the phenomenon of when approximate properties are ""close"" to actual properties. Concretely, the project will introduce for the first time stability with respect to quantum groups, and provide a systematic approach towards different important notions of stability for various classes of groups, notably ""graph product-like"" groups and amenable groups. For the latter, stability is also connected to character theory and dynamical systems, which will allow for different techniques from these areas to be applied towards our results.""

Original text from CORDIS.

Participants

  • KOBENHAVNS UNIVERSITET · KOBENHAVNCoordinatorDenmark

Links

Data: CORDIS, © European Union