At the micro scale, interactions among particles create fascinating correlations that cannot be explained by any means known to classical physics. This phenomenon, called quantum non-locality, not only proves that the quantum and classical theories differ at the level of elementary particles, but also has a great potential for future quantum technologies. In fact, non-locality lies at the heart of the device-independent quantum information processing, a new paradigm for information processing aiming at designing protocols which do not rely on any assumptions on the devices used, thus closing the mismatch between theory and its implementation. The interest in quantum non-locality has therefore increased dramatically in recent years. However, the efforts have been focused mostly on the bipartite quantum systems, leaving the multipartite case largely unexplored. The overall objective of this fellowship is to significantly advance our understanding of this phenomenon in multipartite quantum states. First, we will thoroughly study the relation between multipartite entanglement and non-locality with the aim of identifying entangled states which are useful for device-independent quantum information. Second, we will focus on non-locality in many-body quantum physics, a subject that has barely been explored. In particular, we will ask what non-locality can tell us about physical properties of many-body quantum systems. In the last part we will aim at characterization of the set of quantum correlations and propose novel and stronger information principles fully describing quantum non-local correlations. The action will involve theoretical research at the frontiers of quantum theory, quantum information, entanglement theory and many-body systems, but also knowledge of the state-of-the-art experimental technology will be necessary. It thus requires strong collaboration between many theoreticians, also from the European institutions, as well as interaction with experimentalists.

Quantum technologies have the potential to revolutionise the IT, pharmacy, chemistry, and energy sectors. The involvement of Widening Countries in the development of emerging technologies can narrow the gap with more advanced EU members and enhance overall innovation in the high-tech industry. Poland, equipped with significant expertise in theoretical physics, a substantial pool of top-tier information technology professionals, and advanced high-performance computing infrastructure, strategically aligns with these initiatives. However, the development of Quantum Technology faces substantial barriers. Due to the intricate nature of quantum processes, quantum states are often very fragile, and designing useful devices requires modelling with advanced theoretical and numerical tools. There is also a barrier on the theory side: despite potentially groundbreaking ideas, many concepts remain unexplored due to the absence of suitable modelling methods to demonstrate their applicability potential. The Modelling Center for Quantum Technologies group at the Center for Theoretical Physics PAS, Poland, aims to bridge the theory-experiment gap by developing and applying new methods to describe open quantum many-body systems comprehensively. Additionally, it will address the academia-business gap by establishing an open-source-based quantum modelling centre and fostering connections with research and industry partners through various dissemination and exploitation measures. With the expertise, networking capabilities, and strong commitment of the ERA Chair holder, this group of excellence strives to become a world leader in quantum system modelling, unlocking the full potential of theoretical research at the Center for Theoretical Physics PAS.

We propose to use information encoded in peculiar velocity statistics of galaxies in the Local Universe as well as observed redshift space distortions (RSD) of distant galaxies for rendering new and very precise constraints on the validity of General Relativity (GR) and competing theories of modified gravity (MG) on cosmological and intergalactic scales. The main objectives and deliverables of our proposed research programme are: -To obtain precise modeling of both GR and MOG signatures in galaxy velocity field; -To develop self-consistent models of RSD for a wide class of MOG models; -To study the systematic impact of baryonic physics on velocity and clustering observables; -To perform a robust comparison of the predicted and observed velocity and RSD signal; -To compare cosmological parameters estimated using separately both methods; We plan to conduct our studies on GR and MG by developing methods proposed by us in previous works. For this goal it is necessary to develop a self-consistent RSD theory for MG. We will put emphasis here on the construction of theoretical models for anisotropic 2-point statistics, that will in a precise way model relations between theoretical quantities and observed ones. As a complementary probe and an important consistency test we plan to model and measure from observations 2-point correlation statistics of radial components of galaxy peculiar velocities. Our project, aimed at using galaxy velocities to test GR and MG theories on cosmological scales, will produce significant and crucial research deliverables that are necessary to fully exploit the new possibilities that the rapidly approaching era of big cosmological data will offer.

The four known interactions that occur in nature can be described either by Einstein's general relativity or by quantum field theory. Over the last decades physicists have tried to put these two pillars of modern physics on a common foundation. In doing so, they have been limited by a lack of experiments at the interface of these two frameworks. Both theories have been independently verified with astonishing precision, but all verifications to date have come without drawing on concepts from the other theory. The goal of GRAVITES is to perform experiments at the interface of quantum physics and general relativity. For the first time, we will measure gravitational properties of single and entangled photons in the background of Einstein’s gravity. To this end, GRAVITES aims to combine four complementary disciplines: quantum photonics and precision interferometry guided by expertise in general relativity and quantum field theory. The synergy among the research groups will realize a large-scale fiber interferometer with unprecedented precision. Since the sensitivity of GRAVITES’s apparatus must exceed present large-scale fiber-based quantum interferometers by orders of magnitude, the two experimental teams must combine cutting-edge technologies in their respective fields for advancing single-photon interferometry. These developments are also of direct relevance for many other applications such as quantum metrology and quantum sensing. In parallel, the theory teams will investigate the combined effects of gravitation and field quantization in dielectric waveguides. With this united effort GRAVITES is in the position to explore new physics that determines the gravitational properties of quantum superposition and quantum entanglement. This will allow us to create a unique experimental platform for probing how gravity interacts with the quantum world.