Quantum Computation, Lecture 23, QEC, Part 4, Theory of QECC, Linear codes, Mar 16, 2022
Channel: Deepak Vaid
Date: 2022-03-18

Weight of an operator; distance of a code (I made an error in defining this. Its the minimum distance between any two codewords and not the maximum);


General theory of quantum error correction; definition of error correcting code in terms of the physical Hilbert space, the code subspace, error operators and recovery operators; error correction constraint on codeword states and error operators; physical motivation of this constraint.


Theory of classical linear codes; generator matrix; finite fields; message encoding; codewords as vectors in the vector space spanned by the column vectors of the generator matrix.