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Year 1·Month 24·Week 1

Day 645: Kraus Representation Deep Dive

Day 645 of 2,016~17 min read

Learning Objectives

•**Define** the Kraus operator-sum representation of a quantum channel
•**Verify** trace preservation and complete positivity conditions
•**Derive** Kraus operators for fundamental quantum channels
•**Calculate** the output of a channel given input state and Kraus operators
•**Understand** the physical interpretation of Kraus operators as measurement outcomes
•**Connect** the Kraus representation to open quantum systems

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