On upper bound for the quantum entropy

DOI10.1016/S0024-3795(01)00244-0zbMath0989.81010MaRDI QIDQ5935582

Bogusław Zegarliński, Waldemar Hebisch, Robert Olkiewicz

Publication date: 26 June 2001

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Sobolev inequality

Mathematics Subject Classification ID

Quantum computation (81P68) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06)

Cites Work

• Unnamed Item
• The Golden-Thompson trace inequality is complemented
• Hypercontractivity in noncommutative \(L_1\) spaces
• Logarithmic Sobolev inequalities for finite Markov chains
• Interpolation of Linear Operators
• Convexity inequalities for estimating free energy and relative entropy

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