As part of the theoretical research within MQV, the THEQUCO consortium will develop hardware-independent theoretical foundations of quantum computing, construct new quantum algorithms, build new methods and protocols to certify quantum computers and establish new control and error mitigation methods. The HAT consortium, on the other hand, provides application-oriented theory support for the different experimental quantum computing platforms within MQV to enable the optimal execution of quantum algorithms.
The Hubbard model plays an important role in the description of quantum materials. Solving the mathematical equations for the Hubbard model with classical computers is very difficult because the resources required grow exponentially with system size. However, quantum computers could overcome this hurdle and provide solutions in much shorter time. The goal of the project is to develop efficient quantum algorithms for Hubbard models at finite temperatures.