The lectures draw on multiple sources, some of which are listed below. Information theory or quantum mechanics are notĪmong prerequisites the material will be discussed from the first principles. Most of the results are established from the first principles, so no specific background is required (except for good knowledge of basic linear algebra). Prerequisites The course focuses on mathematical reasoning, so general mathematical maturity and previous experience of similar kind is essential. On the classical part, we discuss families of algebraic codes and their decoding, spherical codes and combinatorial constructions, and the results of the last decade relating to achieving Shannon capacity of basic communication channels.On the quantum side, we describe why quantum error correction is possible, go over basic constructions such as the stabilizer formalism, CSS codes, and toric/surface codes, and touch upon related continuous-variable error-correcting codes. We discuss basic principles of and connections between classical and quantum coding theory. ![]() Important aspects of classical and quantum coding theory from a unified perspective. Instructor availability outside class hours: Please send us an email, including an online meeting requestĬourse description: This is an Advanced Topics graduate-level course covering several ![]() ![]() for Systems Research, (*)Department of CS, (*)Department of Mathematics (*)Joint Center for Quantum Information and Computer Science, (*)Department of Physics
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