Section 101 F 10:45-11:45am 306 Soda

Section 2 M 9:30-10:30am 306 Soda

whaley@berkeley.edu

kcyoung@berkeley.edu

W 10.45 -11.45 in

F 1.30 - 2.30 in

Email: dgorman@berkeley.edu

Office hours: Thurs 2:00 - 3:00 pm in 412 O'Brien

Email: daniel.freeman@berkeley.edu

Office hours: M 1:00 - 2:00 pm in 412 O'Brien

- Here is a (tentative) lecture-by-lecture outline

- Homework 1 [pdf] due in class on Wednesday September 10. [Solution]
- Homework 2 [pdf] due in class on Friday September 19. [Solution]
- Homework 3 [pdf] due in class on Friday October 3. [Solution]
- Homework 4 [pdf] due in class on Wednesday October 15. [Solution]
- Homework 5 [pdf] due in class on Wednesday October 22. [Solution]
- Homework 6 [pdf] due in class on Wednesday October 29. [Solution]
- Homework 7 [pdf] due in class on Wednesday November 5. [Solution]
- Homework 8 [pdf] due in class on Wednesday November 19. [Solution]
- Homework 9 [pdf] due in class on Wednesday December 3.

Date |
Topic |
Notes |

8/29 | States and measurement | [pdf] |

9/3 | Entangled states, density matrices, Hermitian operators, commutators, functions of operators | [pdf] |

9/5 | Spins and the Bloch Sphere | [pdf] |

9/10 | Spin resonance | [pdf] |

9/12 | Two qubit gates, the circuit model, teleportation | [pdf] |

9/17 | Computational complexity, superdense coding and the Deutsch-Jozsa algorithm | [pdf] |

9/24 | Measurement | [pdf] |

10/1 | Generalized measurement, partial trace, and distance in state space | [pdf] |

10/3 | Foundations, EPR and Bell's theorem | [pdf] |

10/8, 10/10 | Introduction to quantum key distribution | [pdf] |

10/15 | Open quantum systems: quantum process formulation | [pdf] |

10/17 | Open quantum systems: Hamiltonian formulation and master equations | [pdf] |

10/22 | Error suppression and prevention techniques | [pdf] |

10/24 | Introduction to quantum error correction | [pdf] |

10/29 | Fault tolerance and the threshold theorem | [pdf] |

10/31 | Grover's Algorithm | [pdf part 1] [pdf part 2] |

11/5 | Quantum Fourier Transforms | [pdf] |

11/7 | Quantum phase estimation, finding eigenvalues | [pdf] |

11/12 | Shor's period (order) finding algorithm and factoring | [pdf] |

11/14 | Guest Lecture: Superconducting Qubits - Irfan Siddiqi | [pdf] |

11/19 | Guest Lecture: Trapped Ion Qubits - Hartmut Haeffner | [pdf] |

11/21 | Entanglement Measures | [pdf] |

The project is worth 40% of the grade. You should work in teams of

The link below contains some suggestions of broad topics for projects, in some cases together with a pointer to a good starting point for your exploration. Please feel free to google, use Google Scholar, or search on the quant-ph archive for more information on these or other topics.You should feel free to suggest any topic that you are interested in that is related to the themes of the course, but it should be approved by one of the instructors. Please email me (whaley@berkeley.edu) by

You can find more project ideas on the webpage for the Spring 2012 iteration of this course.

- Los Alamos archive of papers and preprints on Quantum Mechanics and Quantum Computation: link
- John Preskill's Quantum Computation course at Caltech: link
- Umesh Vazirani's graduate Quantum Computation course at UC Berkeley: link
- Daniel Lidar's page of teaching links for Quantum Mechanics and Quantum Computation: link

**On quantum computation**

- Benenti, Casati and Strini,
__Principles of Quantum Computation, v. 1: Basic Concepts__

Introductory. See v. 2 for more advanced topics.

- Kaye, LaFlamme and Mosca,
__An Introduction to Quantum Computing__

Introductory.

- McMahon,
__Quantum Computing Explained__

Undergraduate-oriented text.

- Stolze and Suter,
__Quantum Computing: a short course from theory to experiment__

Physics-oriented introduction with discussion of experimental implementation.

- Mermin,
__Quantum Computer Science__

Introductory.

- Nielsen and Chuang,
__Quantum Computation and Quantum Information__

An encyclopedic reference.

- Pittenger,
__An introduction to Quantum Computing Algorithms__

Introduction to algorithms. - Lo, Popescu and Spiller,
__Introduction to Quantum Computation and Information__

Introductory review chapters to basic concepts and tools. - Kitaev, Shen and Vyalyi,
__Classical and Quantum Computation__

Advanced.

**Mathematical background**

- Strang, Gilbert.
__Linear Algebra and Its Applications__

Good review of matrix theory and applications. - Jordan, Thomas F.
__Linear operators for Quantum Mechanics__

Thorough presentation of operators and mathematical structure.

**On quantum mechanics in general**

- Feynman, Richard P.
__The Feynman Lectures on Physics__, volume 3

A famous introduction to undergraduate physics. Good section on 2-state systems. - Griffiths, David J.
__Quantum Mechanics__

Very clear explanations, doesn't cover everything. - Liboff, Richard L.
__Introductory Quantum Mechanics__

Good coverage, explanations medium. See Ch. 16 in the new (4th) edition for intro. to Quantum Computing. - Baym, Gordon.
__Lectures on Quantum Mechanics__

Graduate level textbook. Very clear exposition of the physics. - Feynman, Richard.
__QED__

Nice leisure reading.