University of Latvia (LU, World University Rankings: THE 2024 = 1001-1200 and QS 2024 = 801-850) is founded in 1919. With more than 15,000 students, 5 faculties (as of 1 September 2024) and over 20 research institutes and independent study centres, it is one of the largest comprehensive and leading research universities in the Baltics. The University offers more than 130 state accredited academic and professional study programmes and is continuously developing and expanding the horizons of academic work and scientific research, collaborating internationally, increasing the number of international study programmes, as well as strengthening its cooperation with industrial partners. The main goal of the university on the research side is to continue to sustain its internationally recognised fundamental and applied research and to advance further development providing knowledge and novel technologies.

The University of Latvia is the Q-DYNAMO project coordinator. The LU group is fully equipped with all the necessary software for performing numerical calculations (e.g., Wolfram Mathematica, MATLAB, etc.) and has access to supercomputing facilities, which is provided by request by the university Institute of Mathematics and Computer Sciences.

University of Pisa (UNIPI, World University Rankings: THE 2024 = 401-500 and QS 2024 = 349) with 50,000 students with over 2,000 permanent staff is a large size university with a middle-age old tradition in hard and applied sciences.

The Physics Department is a major excellence centre for undergraduate and postgraduate educations of young researchers. Involving over 300 personnel, it performs outstanding research in areas as diverse as elementary particle physics, theoretical physics, astrophysics, medical science, as well as applied physics, material science, cold atoms and condensed matter. The Department deploys a large range of experimental facilities installed in over 2,000 sqm laboratory rooms. Besides numerical capabilities, UNIPI has also a broad experience in atomic and optical physics and in-situ process diagnostics based on optical spectroscopy. State of-the-art experimental facilities are available, including large spectroscopy and nanotech laboratories organised on three different set-ups on ultracold atoms, on optomechanics and laser guiding atoms into hollow fibers. All the experiments are based on a high-quality quantum control.

Ulm University (UULM, World University Rankings: THE 2024 = 193 and QS 2024 = 542) is research driven university, committed to Natural Sciences, Engineering, Mathematics, Economics and Medicine. To foster internationalisation master programs are in general offered in English. Recently, Quantum Science and Technology was identified as one of the six focus areas of research at Ulm University. Together with the University of Stuttgart and the Max Planck institute for Solid State Research in Stuttgart, Ulm University has founded a Center of Integrated Quantum Science and Technology IQST to stimulate new developments in quantum science and engineering. Furthermore, together with the Carl Zeiss-Stiftung a transregional centre for quantum photonics comprising the universities Jena, Stuttgart and Ulm has been founded. The experimental facilities at the Ulm University are supported by an advanced infrastructure including mechanical and electronics workshops.

The BaRbIE lab has three cold atom experiments: 1) a rubidium BEC experiment, 2) a hybrid experiment combining ultracold neutral atoms with cold trapped ions, 3) an experiment of a ultracold Fermi gas of lithium atoms. Besides well-equipped cold-atom laboratories and workshops we have access to a large clean room of the University.

University of Parma (UPR, World University Rankings: THE 2024 = 601-800 and QS 2024 = 851-900) with around 32, 000 students and about 980 teaching staff and 950 administration staff units is one of the oldest universities in the world and is among the 20 top performing universities in Italy in the major EU funding schemes FP7 and H2020. UPR has a sound tradition in theoretical and experimental magnetism and the scientific campus hosts also the CNR Institute of Materials for Electronics and Magnetism. UPR has an internationally recognised expertise in the theory of molecular nanomagnets as possible candidates for the application of superadiabatic protocols in quantum information processing. Solid international collaborations are demonstrated, e.g., by the EU-FET project FAult Tolerant MOLecular Spin processor (FATMOLS) and the new National Quantum Science and Technology Institute (NQSTI) in which the PI is actively involved.

The Physics Department the University of Parma has access to the infrastructure of the National Institute for Nuclear INFN, Italy, in particular to computing power in form of several computer clusters.

University of Otago (UO, World University Rankings: THE 2024 = 301-350 and QS 2024 = 206, the top 1% of universities in the world) is New Zealand’s oldest university founded in 1869. With about 21,000 students it is New Zealand’s second largest university.

The Department of Physics has a particular research strength in atomic, molecular, and optical physics, with about half its permanent staff members working in this area. The individual atom cooling and trapping facility established by Mikkel F. Andersen has been fully operational since 2010. The experimental group is involved in successful bottom-up formation of molecules from single cold atoms over the last years. The experimental realisation of the super adiabatic protocols accelerates the magnetic field ramping by more than an order of magnitude and most importantly will provide higher fidelities for the target states.

Temple University (TU, World University Rankings: THE 2024 = 351-400 and QS 2024 = 721-730) is a public state related research university in Philadelphia, Pennsylvania. It was founded in 1884 by the Baptist minister Russell Conwell. On May 12, 1888, it was renamed the Temple College of Philadelphia. By 1907, the institution revised its institutional status and was incorporated as a research University. As of 2022, about 33,600 undergraduate, graduate, and professional students were enrolled at the university. TU is among the world's largest providers of professional education in law, medicine, podiatry, pharmacy, dentistry, engineering, and architecture, preparing the largest body of professional practitioners in Pennsylvania. TU is classified as a "R1 Research University among Doctoral Universities – Very high research activity” and has more than 500-degree programs at 15 schools and colleges and five professional schools. Temple University's College of Science and Technology houses the departments of Biology, Chemistry, Computer & Information Sciences, Earth & Environmental Science, Mathematics, and Physics. It is one of the largest schools or colleges of its kind in the Philadelphia region with more than 230 faculty and about 24,000 undergraduate students. The College of Science and Technology offers bachelor's, master's, and doctoral degrees in all six departments as well as science with teaching bachelor's degrees through the TU teach program. CST's advanced Science Education and Research Center (SERC) is a 247,000 square feet research centre, home to 7 research centres and institutes.

The experimental setups are located in a 1,200 square feet laboratory space in the Science Education and Research Center (SERC) building. The equipment consists of several single mode tuneable CW lasers and their pump lasers including four Coherent Autoscan systems and a SolsTiS 5000 PSX XF laser system from M Squared Lasers Inc. In addition to the Pulsar pulsed laser from Coherent Inc., the laboratory is well equipped by two SPEX spectrometers and a high resolution Bomem DA8 Fourier Transform Spectrometer. A molecular beam apparatus is under construction for quantum magnetism studies of Er2 molecule.

The Physics Department at the University of Michigan (UM, World University Rankings: THE 2024 = 23 and QS 2024 = 33) has a 150-year tradition of leadership. In 1888, the West Physics Building was erected on Michigan's campus, the first of its type in the nation. Today in a new, state-of-the-art laboratory, Michigan leads the nation in physics education and research. Core groups of faculties pursue research in basic and applied physics, biophysics, and complex systems with state-of-the-art laboratory and information-technology facilities. Connections across disciplines have fostered collaborations with Medical Center and College of Engineering Faculty and with researchers at institutions across the nation and around the world. There are abundant opportunities for graduate research in the core research areas and avid participation of undergraduates in faculty research groups.

The group utilises setups with optical lattices for Rydberg atoms, which are focused on precision spectroscopy of atomic states in general, and on atoms in low-angular-momentum and in circular Rydberg states. A pair of other setups employ an atom and ion imaging method that enables Rydberg-atom, ion, and cold-plasma imaging with sub-micron resolution.

JILA was founded in 1962 as a joint institute of the University of Colorado Boulder (UCB, World University Rankings: THE 2024 = 138 and QS 2024 = 264) and the National Institute of Standards & Technology (NIST). The JILA/NIST/UCB enterprise has led to 4 Nobel Prizes and creative collaborations among JILA Fellows, JILA research associates and students, CU professors, NIST staff members, and other world-leading scientists from around the globe play a key role in generating JILA’s renowned pioneering research.

The research group at JILA brings into the collaboration a well-established expertise on theoretical simulations of few-atoms systems and multiparticle dynamics at ultracold temperatures. This includes few-atom processes relevant for ultracold quantum gases near magnetically tuned Feshbach resonances, ultracold chemical reactions, as well as hybrid atom-ion systems.

The University of Electro-Communications (UEC, World University Rankings: THE 2024 = 1201-1500) is a national university of Japan founded in 1918 as the Technical Institute for Wireless-Communications. With around 500 faculty members and more than 3,500 students, UEC specialises over a wide range of fields from basic science and engineering to applications, including physical engineering, material science, life science, optical science, electronics, robotics, mechanical engineering, and media. It is currently ranked among the 800-1000 best universities in the world. The mission of UEC is creation and achievement of knowledge and skill to contribute to the sustainable development of humankind. It aims at education and research at the cutting-edge of science and technology for the benefit of all humankind, cultivating international researchers and technologists to take the initiative and creative engagement and cooperation with society in the pioneering of a new era of science and technology. It also strongly promotes industrial collaboration, diversity, and gender equality.

The lab is equipped with tapered fiber fabrication setup, femtosecond laser-based nanofabrication setup and laser cooling and single atom tweezer setup, that will be necessary for the project implementation.

Tokyo University of Science (TUS, World University Rankings: THE 2024 = 1201-1500 and QS=661-670) founded in 1881, is one of the oldest private universities of science and technology in Japan. Rooted in a strong sense of ethics, scientists and engineers at TUS strive to solve global challenges and make the world a better place through science. The university has around 19,000 students and 1722 faculty members, spread over 390 laboratories. The university is known for its rigorous education and research activities, and graduates have a 96% placement success rate. In terms of physics research, TUS is one of the homes of superconducting qubit research in Japan. It also has strong connections to the HITOMI satellite astrophysics collaboration, and other Japan based astrophysics research.

The lab at TUS includes: Nanofiber manufacturing equipment, specialised microscopes for single photon generation, particle manipulation, etc, a customised scanning electron microscope with optical fiber inputs, Rb laser cooling equipment, and a mechanical workshop.