Rank two bipartite bound entangled states do not exist
Theoretical Computer Science - Algorithms,automata, complexity and games
IEEE Transactions on Information Theory
Convex hulls of varieties and entanglement measures based on the roof construction
Quantum Information & Computation
A useful strong lower bound on two-qubit concurrence
Quantum Information Processing
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To calculate the entropy of a subalgebra or of a channel with respect to a state, one has to solve an intriguing optimalization problem. The latter is also the key part in the entanglement of formation concept, in which case the subalgebra is a subfactor.I consider some general properties, valid for these definitions in finite dimensions, and apply them to a maximal commutative subalgebra of a full matrix algebra. The main method is an interplay between convexity and symmetry. A collection of helpful tools from convex analysis is collected in an appendix.