General aims

Project » General aims

The aim of the project is to create in Gdansk an integrated stable team focused on research on technological applications of quantum information theory, general quantum mechanics and quantum optics. Despite the fact that Gdansk is currently strong in these matters, the research is uncoordinated, followed by separate groups, and most importantly we do not have suffcient funds to host a "critical mass" of post-docs, who bring significant experi- ence together with fresh ideas. As the research would be centered around Institute for Theoretical Physics and Astrophysics (ITPA), as well the National Quantum Information Centre (NQuantIC), which is also fostering theoretical studies, it will be carried out in strict collaboration and coordination with four world-leading experimental groups/institutions [Vienna Univ./IQOQI (Zeilinger), Munich Univ./ MPQ (Weinfurter), USTC Hefei/Shanghai (Pan), Stockholm Univ. (Bourennane)]. We have a very well established track record of collaboration with these groups (respectively 22, 23, 5 and 11 co-authored papers with the mentioned group leaders, plus more with groupmembers; the joint papers appeared e.g. in Nature (2+1 comment), Physical Review Letters (20), and in Septem- ber an article was finally accepted by Reviews of Modern Physics). The experimental groups are interacting with startup/spin-off companies specialized in commercializing disruptive technologies based on quantum information. This will additionally allow further tests of feasibility of our proposals, and potentially would lead to applications in commercially available devices

On one hand the research tasks will include fundamental questions about the mutual relations between correlations, their robustness against various imperfections appearing in experiments, and their role in various quantum information processing protocols. All these research directions would involve strictly non-classical physical phe- nomena. On the other hand, our results would contribute to our understanding foundations of quantum mechanics. "Quantum information and thermodynamics of micro-systems" is an example of a work package of a more fundamental importance. We shall also investigate the very foundation of the mathematical description of quantum process. These aspects of our work may indirectly contribute to developing new quantum technologies. The mathematical part of our project centers around themes in mathematical physics and operator algebras.The main goal is the application of powerful functional analysis techniques to study quantum maps on properly defined spaces of observables. More specifically the important challenge is to give a precise mathematical treatment (and classification) of the interesting quantum maps that arise from the quantum physics. The concepts of quantum Orlicz-spaces, operator spaces, positivity, entanglement and finally non-commutative entropy all play a part in this project. The effort in this project will be focused around the following basic themes:

  • Analysis of positive maps on properly chosen spaces of (regular) observables.
  • Quantum entropy and quantum correlations.
  • Quantum analysis

We hope that achievement of our aims will promote our ITPA and NQuantIC as an important integrated self- sustaining centre for (theoretical) research in quantum information theory and related subjects. The centre would give a theoretical back-up to many experimental activities around the World (in the teams of our experimental partners), which in many cases would be demonstrations of feasibility of new technologies in information transfer using quantum channels", in information processing with quantum gates", as well as in quantum metrology". The Team would be able to provide expertise at many levels, from designing experimental set-ups, to mathematical problems of quantum theory used to describe the experiments.