# Quantum Computing: Foundations to Frontier

*Course Number*: CSC 2451 HF/MAT 1751 HF

*Location*: Bahen 1220

*Date/Time*: Wednesday 2-5pm

*First meeting*: September 12

*Office hours*: by appointment

Syllabus

Project guidelines

Piazza discussion site

LaTeX template

## Description

This course will give a broad overview of the field of quantum computing. We will start with a crash course in the fundamentals of quantum computing (qubits, quantum circuits, basic quantum algorithms such as Grover’s search algorithm and Shor’s factoring algorithm). Armed with the basics, we will then explore topics at the frontier of quantum computing: quantum simulation, quantum cryptography, connections with physics, quantum machine learning algorithms, and quantum supremacy. Students will make project presentations at the end of the course. This is a theoretical course that requires mathematical maturity and a strong background in linear algebra and probability theory.

## Final Project Showcase

## Schedule

Date |
Topic, Notes, and References |
---|---|

September 12 | Administrativa. Basics of quantum information. [Slides] [Scribe notes] |

September 19 | Entanglement, CHSH game, Bell’s Theorem, and Certifiable randomness [Scribe notes] |

September 26 | Teleportation, quantum circuits, Deutsch’s algorithm and Simons’ algorithm [Scribe notes] |

October 3 | Quantum Fourier Transform, Phase estimation, Order finding (Pset 1 due)
[Scribe notes] |

October 10 | Grover search, Hamiltonians, Mixed States, Noise and Decoherence [Scribe notes] |

October 17 | Quantum machine learning, including guest lecture by Peter Wittek. (Pset2 and Project Proposals due)
[Scribe notes] |

October 24 | Quantum complexity theory [Scribe notes] |

October 31 | Near-term quantum computing and quantum supremacy [Scribe notes] |

November 7 | Reading week, no class |

November 14 | Quantum cryptography (Pset3 due)
[Scribe notes] |

November 21 | Quantum error correction and fault tolerance [Scribe notes] |

November 28 | Experimental implementations [Slides] [Scribe notes] |

December 3 | Project Presentations. 4-6:30pm,
MP 137 |

December 5 | Project Presentations |