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Quantum Engineering Year 2: Advanced Quantum Science Month 26Day 723

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Year 2·Month 26·Week 4

Day 723: Quantum Channel Capacity

Day 723 of 2,016~16 min read

Learning Objectives

•**Derive** the coherent information for quantum channels
•**State and explain** the Lloyd-Shor-Devetak theorem
•**Understand** why regularization is needed
•**Classify** channels as degradable, anti-degradable, or neither
•**Compute** quantum capacity for degradable channels
•**Analyze** the additivity problem for coherent information

Today's Schedule (7 hours)

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On this page

1 Coherent Information Deep Dive Definition and Interpretation Key Properties Stinespring Dilation 2 The Lloyd-Shor-Devetak Theorem Statement Why Regularization Achievability Proof Sketch Converse Proof Sketch 3 Degradable and Anti-Degradable Channels Degradable Channels Anti-Degradable Channels Classification Diagram 4 Capacity of Specific Channels Erasure Channel Depolarizing Channel Amplitude Damping Channel 5 The Additivity Problem The Question Superadditivity Examples When Additivity Holds Computational Implications 6 Capacity Bounds Upper Bounds Lower Bounds

Day 722Day 723 of 2,016Day 724