articleTop 10% cited
Proof of the strong subadditivity of quantum-mechanical entropy
Journal of Mathematical Physics · 1973 · Vol. 14(12) · pp. 1938–1941
Élliott H. Lieb✉(Institut des Hautes Études Scientifiques)Mary Beth Ruskai
Abstract
We prove several theorems about quantum-mechanical entropy, in particular, that it is strongly subadditive.
Advanced Thermodynamics and Statistical MechanicsStatistical Mechanics and EntropySubadditivityQuantumMathematicsGeneralized relative entropyQuantum relative entropyEntropy (arrow of time)Quantum discordStatistical physicsTheoretical physicsQuantum mechanics
Citations
861
FWCI
3.62
field-weighted impact
References
12
Percentile
93%
vs. same field & year
Citations per year
Cited by
On quantum Rényi entropies: A new generalization and some properties
Journal of Mathematical Physics · 2013 · 647 citations
The information paradox: a pedagogical introduction
Classical and Quantum Gravity · 2009 · 939 citations
Completely positive maps and entropy inequalities
Communications in Mathematical Physics · 1975 · 636 citations
The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
Journal of High Energy Physics · 2019 · 763 citations
Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy
Classical and Quantum Gravity · 2014 · 435 citations
Citation Network
How this paper connects to the literature. Drag to explore, click any node to open that paper.