Constructingk-Schmidt witnesses for infinite-dimensional systems

DOI10.1080/03081087.2014.898298zbMath1328.47076OpenAlexW1965220739MaRDI QIDQ5175357

Xin Li, Xiao Chun Fang

Publication date: 20 February 2015

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

Full work available at URL: https://doi.org/10.1080/03081087.2014.898298

zbMATH Keywords

quantum entanglementSchmidt numberentanglement witnessSchmidt rank

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Convex sets and cones of operators (47L07) Quantum coherence, entanglement, quantum correlations (81P40)

Cites Work

• Schmidt number and partially entanglement-breaking channels in infinite-dimensional quantum systems
• Detecting entanglement of states by entries of their density matrices
• Separability of mixed states: necessary and sufficient conditions.
• Topologies on quantum states
• The Schmidt number as a universal entanglement measure
• A characterization of positive linear maps and criteria of entanglement for quantum states
• A family of norms with applications in quantum information theory
• THE EIGEN- AND SINGULAR VALUES OF THE SUM AND PRODUCT OF LINEAR OPERATORS