Learn Invest About

Where Understanding Creates Value. Open education — built by a family, for everyone.

Learn

Quantum Engineering
All Curricula

Company

About SIIEA
Investment Hub
Contact

Legal

Terms of Service
Privacy Policy
Disclaimer

© 2026 SIIEA Innovations, LLC. All rights reserved.

Educational content licensed under CC BY-NC-SA 4.0. Content is AI-assisted — see disclaimer.

Quantum Engineering Year 2: Advanced Quantum Science Month 26Day 726

This content was created with AI assistance and may contain errors or inaccuracies. Always verify against authoritative academic sources.

Full disclaimer

Year 2·Month 26·Week 4

Day 726: Capacity Bounds and Calculations

Day 726 of 2,016~11 min read

Learning Objectives

•**Apply** various bounds on quantum capacity
•**Compute** coherent information numerically
•**Use** semidefinite programming for capacity bounds
•**Understand** the role of channel simulation
•**Calculate** capacity for specific channels
•**Evaluate** the tightness of different bounds

Today's Schedule (7 hours)

Previous dayNext day

On this page

1 Upper Bounds on Quantum Capacity No-Cloning Bound Private Capacity Bound Rains Bound Degradable Extension Bound 2 Lower Bounds on Quantum Capacity Coherent Information Single Letter Hashing Bound Pauli Channels Entanglement-Assisted Lower Bound 3 Numerical Optimization Maximizing Coherent Information Gradient of Coherent Information Algorithm Gradient Ascent 4 Semidefinite Programming SDP Formulation Capacity-Related SDPs 5 Channel Simulation The Concept Simulation for Capacity Bounds 6 Capacity Calculations for Specific Channels Depolarizing Channel Complete Analysis Amplitude Damping Generalized Amplitude Damping

Day 725Day 726 of 2,016Day 727