Quantum Devices in Computer Science

Specific goals include:

1. To develop algorithmic schemes for (i) quantum measurements and (ii) for NISQ and beyond-NISQ quantum computing.
2. To optimize devices for particular implementations and to develop novel paradigms for special purpose quantum devices beyond quantum computing.
3. Advancing higher-order quantum computation as well as quantum error correction.
4. Understanding the influence of noise on existing quantum algorithms, universal programmable quantum processors, and quantum data transmission protocols.
5. Exploring role of symmetries in quantum machine learning methods and quantum computing. Focus on developing new more efficient methods in this area.
6. Development of new mathematical tools relying on representation theory, such as Schur-Weyl duality, mixed Schur-Weyl duality, and others. Exploring role of these symmetries for complexity reduction in SDP problems related to quantum information.
7. Studying indefinite causal structures in the context of higher-order quantum computing – exploring its fundamental capabilities.
8. Studying fundamental relations between learnability and simulability of probability distributions coming from local quantum circuits.