Maximal rank of extremal marginal tracial states

DOI10.1063/1.3481567zbMath1309.81036arXiv0911.3459OpenAlexW3099488946MaRDI QIDQ5245769

Hiromichi Ohno

Publication date: 15 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.3459

zbMATH Keywords

partial tracesentenglement criteriatrduced density operators

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Vector spaces, linear dependence, rank, lineability (15A03) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (3)

Extremal states of qubit-qutrit system with maximally mixed marginals ⋮ Examples of conditional SIC-POVMs ⋮ Extreme points and factorizability for new classes of unital quantum channels

Cites Work

• The probability of entanglement
• Extension of positive maps into B(\({\mathcal H})\)
• Completely positive linear maps on complex matrices
• On Birkhoff's theorem for doubly stochastic completely positive maps of matrix algebras
• Extremal quantum states in coupled systems
• Subalgebras of \(C^ *\)-algebras
• On extremal quantum states of composite systems with fixed marginals
• Extremal marginal tracial states in coupled systems

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