Instructor: | John Watrous |

TA: | Dan Puzzuoli |

Instructor: | John Watrous |

TA: | Dan Puzzuoli |

The course text will be my book The Theory of Quantum Information [HTML].

You may also find that the course lecture notes from Fall 2011 [HTML] to be useful, but please note that we may not follow exactly the same schedule. (You may also find some mistakes in these notes, which I do not bother to correct.)

September 7 | 1. Course overview; registers and states |

September 12 | 2. Reductions and purifications; useful facts about operators |

September 14 | 3. Channels and their representations |

September 19 | No lecture (Quantum Innovators Workshop) |

September 21 | No lecture (Quantum Innovators Workshop) |

September 26 | 4. Characterizations of channels |

September 28 | 5. Measurements |

October 3 | 6. Similarity and distance measures for states |

October 5 | 7. Relationships between fidelity and trace distance; semidefinite programming |

October 10 | No lecture (study day) |

October 12 | 8. Semidefinite programs for optimal measurements |

October 17 | 9. Entropy and source coding |

October 19 | 10. Properties of von Neumann entropy and quantum relative entropy |

October 24 | 11. Joint convexity of quantum relative entropy |

October 26 | 12. Strong subadditivity and Holevo's theorem |

October 31 | 13. Majorization for real vectors and Hermitian operators |

November 2 | 14. Weyl covariant channels and Schur channels |

November 7 | 15. Separability for states |

November 9 | 16. LOCC and separable channels |

November 14 | 17. Nielsen's theorem |

November 16 | 18. Measures of entanglement |

November 21 | 19. PPT states |

November 23 | 20. The completely bounded trace norm |

November 28 | 21. Unitarily invariant measures |

November 30 | 22. Applications of unitarily invariant measures |

Problem set 1 | |

Problem set 2 | |

Problem set 3 | |

Problem set 4 |

Project handout [PDF]