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# Quantum Computation and Error Correction
This is a [course at the University of Basel](https://vorlesungsverzeichnis.unibas.ch/de/home?id=278317), given by [Dr James Wootton of IBM Research](https://researcher.watson.ibm.com/researcher/view.php?person=zurich-JWO).
This is a [course at the University of Basel](https://vorlesungsverzeichnis.unibas.ch/de/semester-planung?id=286075), given by Dr James Wootton of Moth Quantum.
This repository reflects the version of the course given in 2023. For the 2020, 2021 and 2022 version see [here](https://github.com/quantumjim/Quantum-Computation-course-Basel/tree/2022).
The lecture videos for this course are all on [YouTube](https://www.youtube.com/playlist?list=PLaU1vYImkPDxyqJ6zHAs8W92fYKsfXsV-) for you to view at any time.
The course will largely follow the same structure as previous years, for which a series of lecture videos where created. These are all available on [YouTube](https://www.youtube.com/playlist?list=PLaU1vYImkPDxyqJ6zHAs8W92fYKsfXsV-) for you to view at any time.
## Course Content
Quantum information theory is the basis of multiple emerging technologies, such as quantum computation and quantum crypotography. It allows us to understand how quantum effects in physical systems may be harnessed for new forms of information processing. The course will also feature some hands on experience with quantum technology, via the open-source Qiskit framework for quantum computing.
This course is an introduction to quantum computation, suitable for students with a physics, nanoscience, computer science or mathematical background. Theologians and philosophers have also been known to try it out!
## Course Text
The course will be based on the [Qiskit textbook](https://github.com/NCCR-SPIN/qiskit-textbook/blob/main/content/preface.ipynb). Note that this link is to the Jupyter notebook source files of the textbook. The latest version of Qiskit learning materials can be found [here](https://learning.quantum-computing.ibm.com/).
The course will be based on the [Qiskit textbook](https://github.com/NCCR-SPIN/qiskit-textbook/blob/main/content/preface.ipynb). Links to specific pages will be given for each lecture. Note that this textbook is no longer maintained, and so does not reflect the most recent version of Qiskit.
## Lectures
Most of the course will be done as a 'flipped classroom'. Lecture videos will be provided 1 week early. In-person sessions take place from 14:15-16:00 on Tuesdays. This will be used for questions from students, working together through exercises, and covering additional topics.
Below are links to the lecture videos for the lectures so far. For links to the corresponding sections of the textbook, see the video description.
The course consists of the following set of lectures. We will aim to do slightly more than one per week. All lectures will be given in person, but [video versions](https://www.youtube.com/playlist?list=PLaU1vYImkPDxyqJ6zHAs8W92fYKsfXsV-) of many lectures are available also. Links to the pertinent parts of the Qiskit textbook can be found in the video descriptions.
* Lecture 1: [The Atoms of Computation and What is Quantum](https://youtu.be/myzcjukQUFc) and [Python, Qiskit and Hello Qiskit](https://youtu.be/mMJtw-vFXC4)
- In-class lecture: [The Unique Properties of Qubits](extra_resources/unique-properties-qubits.ipynb)
- In-class exercise: [Quantum Logic Gates](exercises_2022/Exercise2.ipynb)
* Lecture 2: [Representing Single Qubit States and Gates](https://www.youtube.com/watch?v=GdRt8vO9xY8)
- In-class exercises: [Playing with Paulis](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/exercises_2022/Exercise3.ipynb), [More playing with Paulis](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/exercises_2022/Exercise4.ipynb)
* Lecture 3: [Multi qubit States and Circuit Identities](https://www.youtube.com/watch?v=pzkeypXaQ-Q)
- In-class lecture: [Density matrices](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/QI_course/2_The_Qubit.pdf), [partial trace](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/QI_course/3_Quantum_Information.pdf) and [Schmidt decomposition](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/QI_course/6_Quantum_Correlations_part_1.pdf).
* Lecture 4: [Fun with matrices](https://www.youtube.com/watch?v=e7NTozZMRqk)
* Lecture 5: [Circuits and Universality](https://www.youtube.com/watch?v=E53mfGrV8ek)
- In-class lecture: [Proof that Clifford + t is universal](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/extra_resources/Lecture%206%20(2013%20version).pdf)
- In-class exercise: [Real quantum computing](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/exercises_2022/Exercise7.ipynb)
* Lecture 6: [Basic Algorithms and Protocols](https://www.youtube.com/watch?v=fNOEVXQKv9M)
- In-class lecture: [Relative Entropy and Entanglement Sharing](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/QI_course/7_Quantum_Correlations_part_2.pdf)
- In-class exercise: [Trotters and Garbage](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/exercises_2022/Exercise6.ipynb)
* Lecture 7: [From the Fourier Transform to Shor's Algorithm](https://www.youtube.com/watch?v=WqgNu8ZziPQ)
- In-class lecture [Quantum key distribution](https://github.com/NCCR-SPIN/qiskit-textbook/blob/main/content/ch-algorithms/quantum-key-distribution.ipynb)
- In-class exercise: [The order finding operator](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/exercises_2019/Exercise8.pdf)
* Lecture 8: [Grover's Algorithm and why we can't yet run it](https://www.youtube.com/watch?v=YfFp3K4cAF4)
- In-class lecture: [Quantum noise](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/QI_course/8_Quantum_Noise.pdf) and [Stabilizer formalism](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/QI_course/9_Stabilizer_Formalism.pdf)
* Lecture 9: [Introduction to QEC 1: The repetition code](https://www.youtube.com/watch?v=AuDfq7j_W7E&list=PLaU1vYImkPDxyqJ6zHAs8W92fYKsfXsV-&index=10)
- In-class lecture: [Decoding 1: Running Circuits and Interpreting Outputs](https://github.com/quantumjim/qec_lectures/blob/main/lecture-1.ipynb)
* Lecture 10: [Introduction to QEC 2: The surface code](https://www.youtube.com/watch?v=IdZkxX-Qank&list=PLaU1vYImkPDxyqJ6zHAs8W92fYKsfXsV-&index=11)
- In-class lecture: [Decoding 2: Correcting Errors](https://github.com/quantumjim/qec_lectures/blob/main/lecture-2.ipynb)
* Lecture 11: *No video lecture*
- In-class lecture: [Toric code](https://en.wikipedia.org/wiki/Toric_code) and [LDPC codes](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/extra_resources/LDPC-codes.pdf)
- In-class exercises: [Shor code](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/exercises_2019/Exercise7.pdf)
* Lecture 11: [Introduction to QEC 3: LDPC codes](https://www.youtube.com/watch?v=IdZkxX-Qank&list=PLaU1vYImkPDxyqJ6zHAs8W92fYKsfXsV-&index=11)
* Lecture 12: [Decoding 1: Running Circuits and Interpreting Outputs](https://github.com/quantumjim/qec_lectures/blob/main/lecture-1.ipynb)
* Lecture 12: *No video lecture*
- In-class lecture: [Decoding 3: Programming and Using a Matching Decoder](https://github.com/quantumjim/qec_lectures/blob/main/lecture-3.ipynb)
* Lecture 13: [Decoding 2: Correcting Errors](https://github.com/quantumjim/qec_lectures/blob/main/lecture-2.ipynb)
* Lecture 14: [Decoding 3: Programming and Using a Matching Decoder](https://github.com/quantumjim/qec_lectures/blob/main/lecture-3.ipynb)
* Lecture 15: [Decoding 4: Programming HDRG Decoders](https://github.com/quantumjim/qec_lectures/blob/main/lecture-4.ipynb)
## Extra Topics
For some lectures there is also some extra content that we will cover if there is time. Or you can just check it out for fun!
* Lecture 1: [The Unique Properties of Qubits](extra_resources/unique-properties-qubits.ipynb)
* Lecture 3: [Density matrices](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/QI_course/2_The_Qubit.pdf), [partial trace](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/QI_course/3_Quantum_Information.pdf) and [Schmidt decomposition](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/QI_course/6_Quantum_Correlations_part_1.pdf).
* Lecture 5: [Proof that Clifford + t is universal](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/extra_resources/Lecture%206%20(2013%20version).pdf)
* Lecture 6: [Relative Entropy and Entanglement Sharing](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/QI_course/7_Quantum_Correlations_part_2.pdf)
* Lecture 7: [Quantum key distribution](https://github.com/NCCR-SPIN/qiskit-textbook/blob/main/content/ch-algorithms/quantum-key-distribution.ipynb)
* Lecture 9: [Quantum noise](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/QI_course/8_Quantum_Noise.pdf) and [Stabilizer formalism](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/QI_course/9_Stabilizer_Formalism.pdf)
* Lecture 13: *No video lecture*
- In-class lecture: [Decoding 4: Programming HDRG Decoders](https://github.com/quantumjim/qec_lectures/blob/main/lecture-4.ipynb)
## Exercises
### In-Class Exercises
Exercises covered in class will be drawn from the big pile of all the exercises used in previous versions of this course.
### Take-Home Exercises
Take-home exercises set on 17th Oct, 7th Nov and 28th Nov. There will be hints sessions at 16:15 on those dates. Solutions will be presented at 16:15 on 31st Oct, 21st Nov and 12th Dec.
* [Exercise sheet 1](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/exercises/Exercise1.ipynb): Set 17th Oct. Hint session and hand-in instructions at 16:15.
* [Exercise sheet 2](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/exercises/Exercise2.ipynb): Set 7th Nov. Hint session and hand-in instructions at 16:15 (on Zoom).
* [Exercise sheet 3](https://github.com/quantumjim/Quantum-Computation-course-Basel/blob/main/exercises/Exercise3.ipynb): Set 28th Nov. Hint session and hand-in instructions at 16:15.
Three sets of take-home exercises set throughout the course. There will be hints sessions at 16:15 on the dates that these are set. Solutions will be presented after the exercises have been graded.
**Note: These exercises form 50% of your final grade**
@@ -93,9 +82,9 @@ As in previous years, we'll have a final project instead of a standard exam. The
### Important dates
You have until 15th January to hand-in your final projects (to me, by email). That gives you around 3 weeks after the hand-in of your final set of exercises (not including the Christmas break). You are expected to put a similar amount of time and effort in to the final project as you would put into two sets of exercises.
You have until *tbd* January to hand-in your final projects (to me, by email). You are expected to put a similar amount of time and effort in to the final project as you would put into two sets of exercises.
You have until 21st December to email me and ask for feedback on project ideas, and to give guidelines for what would be expected for them.
You have until *tbd* December to email me and ask for feedback on project ideas, and to give guidelines for what would be expected for them.
### Project ideas