Applications of quantum mechanics to communication and computation are explained. Topics will include quantum teleportation, quantum cryptography, and quantum algorithms. Prerequisites are linear algebra and probability theory only. The instructor will explain mathematics and physics used in the explanation of the above topics.
A student should be able to mathematically verify the correctness of various methods in quantum information processing.
quantum cryptography, quantum computer, quantum information
✔ Specialist skills | Intercultural skills | Communication skills | ✔ Critical thinking skills | ✔ Practical and/or problem-solving skills |
After each class, exercises are given. Their answers should be submitted before the next class. Grade evaluation is based on students' answers to exercises.
Course schedule | Required learning | |
---|---|---|
Class 1 | BB84 quantum key distribution protocol | Exercise |
Class 2 | Mathematical model of quantum systems | Exercise |
Class 3 | Tensor product | Exercise |
Class 4 | Quantum teleportation | Exercise |
Class 5 | Superdense coding | Exercise |
Class 6 | Density matrix | Exercise |
Class 7 | Secrecy of superdense coding | Exercise |
Class 8 | Quantum algorithm for factoring (1) | Exercise |
Class 9 | Quantum algorithm for factoring (2) | Exercise |
Class 10 | Quantum algorithm for factoring (3) | Exercise |
Class 11 | Quantum algorithm for factoring (4) | Exercise |
Class 12 | Probabilistic interpretation of quantum theory | Exercise |
Class 13 | Bell's experiment and local realism | Exercise |
Class 14 | Sketch of mathematical proof for the security of quantum cryptography (1) | Exercise |
Class 15 | Sketch of mathematical proof for the security of quantum cryptography (2) | Exercise |
None
Quantum Computation and Quantum Information by M. A. Nielsen and I. L. Chuang (ISBN 0521635039)
After each lecture, exercises are given. Their answers should be submitted before the next lecture. Grade evaluation is based on student's answers to exercises.
Linear algebra and probability theory
ryutaroh.matsumoto[at]nagoya-u.jp