The Moreau-Yosida approximation of the Entanglement of Formation: basic properties and accuracy estimates

arXiv:2609.30246 · quant-ph, math-ph, math.MP · Submitted 2026-09-24 · Read on arXiv

quant-ph, math-ph, math.MP

Submitted: 2026-09-24

Updated: 2026-09-30

Terminology

• Entanglement — 20× in this paper · explained in 4 episodes
• Accuracy — 10× in this paper · explained in 1 episode
• Regularization — 7× in this paper · explained in 3 episodes
• Trace — 7× in this paper · explained in 2 episodes
• Entanglement of Formation — 4× in this paper
• Hilbert Space — 4× in this paper · explained in 2 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Gibbs State — 1× in this paper · explained in 2 episodes

Sources

• Continuous ensembles and the $\chi$-capacity of infinite-dimensional channels
• Entropic characteristics of subsets of states
• On average output entropy of a quantum channel
• On properties of the space of quantum states and their application to construction of entanglement monotones

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