Full-stack quantum computing system

• Abstract hidden subgroup problems and their quantum algorithms

• Quantum error correction (Shannon vs Hamming, passive / active, hardware vs software)

• Quantum programming language and compiler (design and implementation)

The periodic table of quantum correlations

• Can we obtain an explicit geometric description of the correlation set for 222 scenario?

• Can we compute new quantum Bell inequalities beyond the arcsin inequality?

Quantum foundations

• Why quantum theory is formulated over the complex field?

• What is the effect of free will on Bell experiments?

Quantum cryptography and randomness generation

• Security proofs of reference frame independent and continuous variable protocols.

• Randomness extraction for different levels of characterization of experimental devices

Quantum internet

• Optimizing entanglement distillation

• Certifying quantum network functionalities