内容は進度に応じて調整するが、現在のところは以下のトピックを考えている。
- 量子情報理論の基礎:density matrix formalism, POVM measurements, quantum channels and instruments, Wigner-Yanase-Araki theorem
- 量子状態識別問題: Helstrom theorem and trace distance, quantum fidelity, quantum Chernoff bound, hypothesis testing and quantum Stein’s lemma (and its generalization)
- 量子シャノン理論: data compression and entropy, quantum teleportation and superdense coding, classical and quantum channel capacities, entanglement-assisted communication and channel mutual information
- 量子エンタングルメント理論:operational formulation of quantum entanglement, local operations and classical communication, quantification of entanglement, entanglement distillation and dilution, one-shot entanglement manipulation