VON NEUMANN ENTROPY AND RELATIVE POSITION BETWEEN SUBALGEBRAS

DOI10.1142/S0129167X13500663zbMath1286.46070arXiv1007.1037MaRDI QIDQ2855486

Marie Choda

Publication date: 25 October 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1037

zbMATH Keywords

entropyorthogonalitycrossed producttensor productunitaryconjugate

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Subfactors and their classification (46L37) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (1)

An uncertainty principle for unimodular quantum groups

Cites Work

• Entropy for automorphisms of \(II_1\) von Neumann algebras
• Index for subfactors
• Complementarity in quantum systems
• CONJUGATE PAIRS OF SUBFACTORS AND ENTROPY FOR AUTOMORPHISMS
• RELATIVE ENTROPY FOR MAXIMAL ABELIAN SUBALGEBRAS OF MATRICES AND THE ENTROPY OF UNISTOCHASTIC MATRICES
• COMPLEMENTARITY AND THE ALGEBRAIC STRUCTURE OF FOUR-LEVEL QUANTUM SYSTEMS
• Entropy and index for subfactors
• Random unistochastic matrices
• Dynamical Entropy in Operator Algebras

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