Day 691: Steane [[7,1,3]] Code Introduction

Learning Objectives

• •**Construct** the Steane [[7,1,3]] code from the classical [7,4,3] Hamming code
• •**Write** all 6 stabilizer generators and verify their commutation
• •**Derive** the logical operators $\bar{X}$ and $\bar{Z}$ for the Steane code
• •**Implement** the encoding circuit using CNOT and Hadamard gates
• •**Calculate** syndromes for all single-qubit X, Y, and Z errors
• •**Compare** the Steane code efficiency with the Shor code

Today's Schedule (7 hours)