Day 685: Three-Qubit Phase-Flip Code

Learning Objectives

• •**Construct the three-qubit phase-flip code** using the Hadamard basis
• •**Understand the duality** between bit-flip and phase-flip codes
• •**Implement syndrome measurement** for Z errors using X-basis measurements
• •**Recognize that Z-errors in Z-basis = X-errors in X-basis**
• •**Analyze limitations** of the phase-flip code against X errors
• •**Motivate the need for concatenation** to protect against both error types

Today's Schedule (7 hours)