A family of indecomposable positive linear maps based on entangled quantum states

DOI10.1016/S0024-3795(00)00251-2zbMath0977.15014arXivquant-ph/9810091OpenAlexW2027720795WikidataQ62168098 ScholiaQ62168098MaRDI QIDQ5929757

Barbara M. Terhal

Publication date: 21 January 2002

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9810091

zbMATH Keywords

matrix algebraentanglement of quantum statesindecomposable positive linear mapquantum information theoryunextendible product basis

Mathematics Subject Classification ID

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Uses Software

• QETLAB

Cites Work

• Completely positive maps and entropy inequalities
• Positive semidefinite biquadratic forms
• Positive maps of low dimensional matrix algebras
• Unextendible product bases, uncompletable product bases and bound entanglement
• A series of absolutely indecomposable positive maps in matrix algebras
• Separability of mixed states: necessary and sufficient conditions.
• Separability criterion and inseparable mixed states with positive partial transposition.
• Linear transformations which preserve trace and positive semidefiniteness of operators
• Remarkable Phase Oscillations Appearing in the Lattice Dynamics of Einstein-Podolsky-Rosen States
• Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature?
• Characterization of separable states and entanglement witnesses
• Mixed-state entanglement and quantum error correction

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