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Quantum Engineering Year 2: Advanced Quantum Science Month 29Day 793

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Year 2·Month 29·Week 2

Day 793: Electric Charges (e-particles)

Day 793 of 2,016~20 min read

Learning Objectives

•Identify e-particles as violations of star operators ($A_v = -1$)
•Construct Z-string operators that create e-particle pairs
•Demonstrate that e-particles always appear in pairs
•Calculate the energy cost of e-particle excitations
•Prove the bosonic self-statistics of e-particles
•Transport e-particles through the lattice using string operators

Today's Schedule (7 hours)

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On this page

1 Review The Star Operator 2 Defining e-Particles Physical Interpretation Energy Cost 3 Creating e-Particles with Z-Strings The Fundamental Creation Operator Creating a Pair of e-Particles 4 Pair Creation Is Mandatory 5 Moving e-Particles Transport via String Extension String Independence 6 Self-Statistics of e-Particles Exchange of Two e-Particles Formal Proof Using Ribbon Operators 7 e-Particles and Error Correction Connection to Bit-Flip Errors Error Equivalence Classes Logical Errors Quantum Computing Connection Syndrome-Based Decoding Minimum Weight Perfect Matching

Day 792Day 793 of 2,016Day 794