Proves Jensen's inequality for partial traces in von Neumann algebras, suggesting its broader applicability in quantum theory.
Motivated by a recent result on finite‐dimensional Hilbert spaces, we prove Jensen's inequality for partial traces in semifinite von Neumann algebras. We also prove a similar inequality in the framework of general (non‐tracial) von Neumann algebras.
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Rahaman et al. (2026) studied this question.
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