MTAT.05.118 "Quantum Computing I"
Assoc. Prof. Dirk Oliver Theis
This course covers the basic (i.e., easiest) quantum algorithms.
After a review of quantum mechanics to the extent that is necessary for quantum algorithms, we will discuss the quantum circuit model for universal (fault-tolerant) quantum computing. From there, we will venture to increasingly complex quantum algorithms. We start with the Fourier transform based algorithms (Deutsch-Josza, and Simon's algorithms, Quantum Fourier Transform, Fourier Sampling, Quantum Phase Estimation) which allows us to discuss Shor's algorithm. We then proceed to amplitude amplification (Grover's algorithm) and amplitude estimation. The course is concluded with an outlook where we apply all the techniques learned in the semester to discuss a baby-version of the HHL quantum linear system solver.
The subject matter is somewhat mathematical. If you are not at home with finite-dimensional vector spaces over the complex numbers, and with the spectral theory of normal operators there, you'll be in for a rough ride. In other words, standard undergraduate math will not be repeated in this course.
- General info
- Lecture 1: Working with pure states
- Lecture 2: The circuit model
- Lecture 3: Classical computation on a quantum computer
- Lecture 4: Review of the Discrete Fourier Transform
- Lecture 5: Fourier Sampling & Deutsch-Jozsa Algorithm
- Lecture 6: Simon's Algorithm
- Lectures 7-8: Quantum Fourier Transform
- Lectures 9-10: Quantum Phase Estimation
- Lecture 11: Shor's algorithm
- Lectures 12-13: Quantum Amplitude Amplification
- Lectures 14-15: Quantum Amplitude Estimation
- Lecture 16: Outlook: Quantum linear system solver
- NEW: You can see your homeworks' grades here: https://docs.google.com/spreadsheets/d/1-ugFJYocfdogez6SUVLDCqsT4AVmEX_se4UOKwDeCPE/edit?usp=sharing
To hand in your solutions:
- Print them (or write them in perfect hand-writing), and hand them in before the practice session
- Or send them by email to Rafieh (the PDF version is preferred!).
- No late submissions will be accepted.
HWn_QC_your-name. Otherwise it might not be graded.
- Overleaf link: https://v2.overleaf.com/read/qjjkgmtsngyb
- Due Tuesday, Feb 26, 14:14.
- Overleaf link: https://v2.overleaf.com/read/qhbgstqrvbfr
- Due Tuesday, Mar 5, 14:14.
- Overleaf link: https://v2.overleaf.com/read/vzkyjvvrskcd
- Due Tuesday, Mar 12, 14:14.
- Overleaf link: https://v2.overleaf.com/read/qzhhhkrmkzwv
- Due Tuesday, Mar 19, 14:14.
- Overleaf link: https://v2.overleaf.com/read/bgywyfrpjjcb
- Due Tuesday, Mar 26, 14:14.
- Overleaf link: https://www.overleaf.com/read/scczbbrcgbcj
- Due Tuesday, April 2, 14:14.
- Overleaf link: https://v2.overleaf.com/read/rrwpkbygvxvf
- Due Tuesday, April 9, 14:14.
- Overleaf link: https://v2.overleaf.com/read/whvfmvpsgqrv
- Due Tuesday, April 16, 14:14.
- Overleaf link: https://www.overleaf.com/read/fqwjtcwybvry
- Due Tuesday, April 23, 14:14.
- Overleaf link: https://v2.overleaf.com/read/bjxrmdxcdcyf
- Due Tuesday, April 30, 14:14.
- Overleaf link: https://v2.overleaf.com/read/gqvmtxkzcpng
- Due Tuesday, May 7, 14:14.
- Overleaf link: https://v2.overleaf.com/read/gdbcgxhycwxj
- Due Tuesday, May 14, 14:14.
- Overleaf link: https://v2.overleaf.com/read/mgjstxkthtgb
- Due Tuesday, May 21, 14:14.
- Overleaf link: https://www.overleaf.com/read/kkpfwxxzpjgb
- Due Tuesday, May 28, 14:14.
Assoc Prof Dirk Oliver Theis
d o t h e i s [at] u t [dot] e e
TA Rafieh Mosaheb
r a f i e h . m o s a h e b [at] u t [dot] e e