Consult the COURSE SYLLABUS for basic information about the course: time, place, overview, grading, prerequisites, policies, etc.
This page contains resources for the course and will be updated as the course progresses.
All hand-written notes linked to below are from Fall 2023.
| 2023-08-24 | Lecture 01 | Introduction to the course | 2023-08-24.pdf |
| 2023-08-29 | Lecture 02 | Math prelims: complex numbers, probability | 2023-08-29.pdf |
| 2023-08-31 | Lecture 03 | Math prelims: probability (cont.), linear/matrix algebra | 2023-08-31.pdf |
| 2023-09-05 | Lecture 04 | Math prelims: linear algebra over Z_2, Hilbert space basics | 2023-09-05.pdf |
| 2023-09-07 | Lecture 05 | Math prelims: adjoints, cyclic trace property, orthonormal bases, linear maps, unitary matrices/maps | 2023-09-07.pdf |
| 2023-09-12 | Lecture 06 | Quantum weirdness: double slit and Stern-Gerlach experiments; some electron spin states | 2023-09-12.pdf |
| 2023-09-14 | Lecture 07 | QM fundamentals, qubits, projectors | 2023-09-14.pdf |
| 2023-09-19 | Lecture 08 | Qubits (cont.), unitary evolution axiom, Pauli matrices, Dirac notation | 2023-09-19.pdf |
| 2023-09-21 | Lecture 09 | Projective measurements | 2023-09-21.pdf |
| 2023-09-26 | Lecture 10 | 1-qubit unitaries vs. rotations of the Bloch sphere, tensor product basics | 2023-09-26.pdf |
| 2023-09-28 | Lecture 11 | Tensor products (cont.), quantum registers, quantum circuits | 2023-09-28.pdf |
| 2023-10-03 | Lecture 12 | Q-circuits (cont.): controlled gates, measurement gates, quantum can simulate classical | 2023-10-03.pdf |
| 2023-10-05 | Lecture 13 | Change of (orthogonal) basis & unitary conjugation, quantum teleportation | 2023-10-05.pdf |
| 2023-10-10 | Lecture 14 | 1-qubit unitaries & Euler angles, Deutsch's problem | 2023-10-10.pdf |
| 2023-10-12 | Lecture 15 | Deutsch-Jozsa problem, Simon's problem | 2023-10-12.pdf |
| 2023-10-17 | Lecture 16 | Simon's problem analysis, Shor's algor background | 2023-10-17.pdf |
| 2023-10-24 | Lecture 17 | Shor's algo: factoring reduces to order-finding, discrete Fourier transform | 2023-10-24.pdf |
| 2023-10-26 | Lecture 18 | Shor's algo (cont.), QFT | 2023-10-26.pdf |
| 2023-10-31 | Lecture 19 | Implementing QFT, exactly and approximately | 2023-10-31.pdf |
| 2023-11-02 | Lecture 20 | SRI, Normal operators and the spectral theorem | 2023-11-02.pdf |
| 2023-11-07 | Lecture 21 | Spectral decomp., functions of operators, positive operators | 2023-11-07.pdf |
| 2023-11-09 | Lecture 22 | Quantum search: Grover's algorithm | 2023-11-09.pdf |
| 2023-11-14 | Lecture 23 | Quantum cryptography: the BB84 protocol | 2023-11-14.pdf |
| 2023-11-16 | Lecture 24 | Basic quantum info: norms of operators, POVMs, mixed states | 2023-11-16.pdf |
| 2023-11-21 | Lecture 25 | Quantum channels: Kraus operator representation, 1-qubit bit/phase flip channels | 2023-11-21.pdf |
| 2023-11-28 | Lecture 26 | Classical error correction: binary linear codes, quantum codes for bit-flip and phase-flip channels | 2023-11-28.pdf |
| 2023-11-30 | Lecture 27 | The Shor code (9-qubit code); 1-qubit error channels | 2023-11-30.pdf |
| 2023-12-05 | Lecture 28 | Stabilizer codes; fault-tolerant logical gates | 2023-12-05.pdf |
| 2023-12-07 | Lecture 29 | Quantifying bipartite pure state entanglement; Review | 2023-12-07.pdf |
I will post announcements to the class here from time to time.
My COURSE NOTES (revised Thursday April 11, 2024) for the current semester are available in PDF format on CSE Dropbox. These will be updated regularly through the semester. Here is a link to the course notes from Fall 2021.
There are a number of sources on the web relating to quantum computation and information, from basic tutorials to current research. By far the most comprehensive online repository for current research is the
For a dated but fuller list of resources, look at my
This course material is based upon work supported by the National Science Foundation under Grant Nos. CCF-0515269 and CCF-0915948. Any opinions, findings and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation (NSF).