Quantum Side Information: Uncertainty Relations, Extractors, Channel Simulations

Understand

In the first part of this thesis, we discuss the algebraic approach to classical and quantum physics and develop information theoretic concepts within this setup.

• In the second part, we discuss the uncertainty principle in quantum mechanics.
• The principle states that even if we have full classical information about the state of a quantum system, it is impossible to deterministically predict the outcomes of all possible measurements.
• In comparison, the perspective of a quantum observer allows to have quantum information about the state of a quantum system.