# Douglas Lectures

## Fall 2017

Date: | October 2, 2017 |

Time: | 4:00pm |

Location: | Blocker 117 |

Speaker: | David Kribs, University of Guelph |

Title: | Quantum Information: A (Brief) Mathematical Introduction |

Abstract: | Quantum information is an umbrella term that is used to encompass such topics as quantum computing, quantum cryptography, quantum information theory, quantum error correction, quantum entanglement theory, and quantum information processing. In this talk, I will give a brief introduction to as many fundamental topics in quantum information that I can possibly fit into one talk. I'll start by going through the formulation of quantum information from postulates of quantum mechanics, with emphasis on the linear algebra and operator theoretic perspective. Time dependent, I will then touch on aspects of quantum entanglement theory, quantum algorithms and universal sets of unitary gates, quantum error correction, and quantum privacy. |

Date: | October 3, 2017 |

Time: | 4:00pm |

Location: | Blocker 117 |

Speaker: | David Kribs, University of Guelph |

Title: | Quantum Error Correction |

Abstract: | Quantum error correction as a field of study goes back over two decades, growing out of early attempts to build small-scale quantum computers and develop a theoretical underpinning for experimental attempts to control features of evolving quantum systems. The subject has since seen significant development and now connects with every area of quantum information science. In this talk, I will give an introduction to quantum error correction through a mathematical lens. I will focus on the basic framework, and touch on examples and results that involve aspects of group theory, matrix theory, and operator algebras. |

Date: | October 5, 2017 |

Time: | 4:00pm |

Location: | Blocker 117 |

Speaker: | David Kribs, University of Guelph |

Title: | Quantum Privacy and Complementarity |

Abstract: | The first significant real-world applications of quantum information appear to be around the corner in the realm of cryptography and communication privacy. Private quantum channels and codes are a fundamental notion in quantum privacy, initially discovered almost two decades ago through efforts to construct quantum analogues of the classical one-time pad. In recent years the subject has blossomed, with a new focus on the development of a structure theory for private quantum codes. These recent efforts have partly been motivated by a realization that private quantum codes are complementary, in a mathematically explicit way, to quantum error correcting codes. I will give an introduction to the topic in this talk, with focus on mathematical aspects of the emerging theory and connections with quantum error correction. |