![]() ![]() General idea of block linear codes Matrix vector multiplication Role of Parity Check Matrix P Explanation that P returns only error syndrome since it anihilates codewords v Please remember our hypercube illustration of codes for interpretation Encoding is a mappingĭraw yourself hypercube pictures for these, illustrate our (3,1,1) code from previous lectureġ 0 t=1, correct one error (3,1,1) d=2t+1, t=1, 2t+1=3=d n k d w=3 History of Classical ErrorCorrection Codes (ECC) Quantum Channel Models Pauli rotations in each qubit Two types of channels are discussed: XOR 1 2 Standard addition Classical and Quantum Error Correction Chien Hsing James Wu David Gottesman Andrew Landahl ![]()
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