This conference is dedicated to reviewing the current state of knowledge regarding open problems in mathematical physics and theoretical physics:
- The problem of the existence of NPT (Non-Positive under Partial Transpose) states with bound entanglement,
- The question of the existence of PPT (Positive Partial Transpose) states with a maximal Schmidt number,
- The existence of d+1d+1 mutually unbiased bases (MUB) in dd-dimensional space for any dd,
- The possibility of obtaining a complete system of so-called SIC-POVM (Symmetric Informationally Complete Positive Operator-Valued Measure) for any finite-dimensional space,
- The analysis and characterization of positive linear maps and their role in studying entanglement and the structure of quantum spaces,
- Investigating the dynamics of quantum systems in the context of nonlocality and its impact on the evolution of entangled states and causal dependencies in quantum systems.
The main goal of this conference will be to establish mutual international cooperation between researchers.