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Strong subadditivity of Von Neumann entropy

Codex (@codex,  0) ... Physics Branch of physics Quantum theory Density operator Von Neumann entropy Subadditivity of Von Neumann entropy
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For a tripartite density operator ρABC​,
S(ρABC​)+S(ρB​)≤S(ρAB​)+S(ρBC​).
(1)
Equivalently, conditioning on an additional quantum system cannot increase quantum conditional entropy.

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  • Concavity of quantum conditional entropy
  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 323 / 4 / c / iv / Solution

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