Quantum computation and simulating quantum systems
Quantum computing and quantum communication is currently at the stage of turning fundamental science into applications. Whether quantum supremacy has been achieved by Google is disputed, which clearly shows that quantum processors with increasing numbers of qubits are still merely proofs of the concept because of the high noise level. Competing architectures (superconducting nanocircuits, trapped ions, optically integrated, adiabatic quantum computers etc.) have their advantages and disadvantages. Our aim is to develop universal methods in evaluating and benchmarking quantum computing resources, protocols and detection methods. We plan to adapt and implement quantum algorithms on available architectures, which can be used to solve relevant industrial problems.
With the advent of quantum computing, the roles and goals of classical information technology have to be restructured. In many cases, quantum computing has stimulated the extensions of classical solutions, as well as the development of novel, more efficient methods.
Concerning the mathematics of quantum communication, the development of communication protocols which are efficient even in noisy channels is a basic task. Beyond the actual problems of quantum cryptography, we consider the future scenario, the so-called post-quantum cryptography, when new methods of cryptography will be required that resist high-performance quantum computers