Classical Capacity and Entanglement Cost of the Amplitude Damping Channel

arXiv:2609.28592 · quant-ph · Submitted 2026-09-23 · Read on arXiv

quant-ph

Submitted: 2026-09-23

Updated: 2026-09-23

Terminology

• Entanglement — 87× in this paper · explained in 3 episodes
• Additivity — 40× in this paper · explained in 1 episode
• Trace — 16× in this paper · explained in 2 episodes
• Regularization — 9× in this paper · explained in 3 episodes
• Superadditivity — 7× in this paper · explained in 2 episodes
• Embeddings — 2× in this paper · explained in 2 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Distillation — 1× in this paper · explained in 2 episodes
• Entanglement Entropy — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Homogeneity — 1× in this paper · explained in 2 episodes

Sources

• The Capacity of Quantum Channel with General Signal States
• Superadditivity of communication capacity using entangled inputs
• Information-theoretic aspects of the generalized amplitude damping channel
• The capacity of a quantum channel for simultaneous transmission of classical and quantum information
• Entangled inputs cannot make imperfect quantum channels perfect
• Semidefinite programming strong converse bounds for classical capacity
• Approaches for approximate additivity of the Holevo information of quantum channels
• A hierarchy of efficient bounds on quantum capacities exploiting symmetry
• The classical capacity of generalized amplitude-damping channels and its strong-converse exponent
• A Factorization Law for Entanglement Decay
• Computable lower bounds on the entanglement cost of quantum channels
• A note on extremal decomposition of covariances
• Remarks on additivity of the Holevo channel capacity and of the entanglement of formation
• Equivalence of Additivity Questions in Quantum Information Theory
• Entanglement cost and quantum channel simulation
• Entanglement of Formation of an Arbitrary State of Two Qubits
• The asymptotic entanglement cost of preparing a quantum state
• Optimal signal ensembles
• Lean-QIT: Towards a Formal Infrastructure for Quantum Information Theory
• The Quantum Reverse Shannon Theorem based on One-Shot Information Theory

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