Shunlong Luo, Academy of Mathematics and Systems Scienc, Chinese Academy of Sciences
Mary Beth Ruskai, Tufts University
Subtitle: A numerical project that needs HELP
After Shor's proof of equivalence of additivity conjectures, attention shifted from capacity and entanglement of formation to the seemingly easier questions of minimal output entropy. Despite existence proofs for non-additivity in high dimensions, explicit examples remain elusive. It may be that the violations for minimal output entropy are so small and require such large dimensions, that numerical searches won't find them.
Jason Petta, Princeton University
Yingkai Ouyang, Institute for Quantum Computing (IQC)
Mary Beth Ruskai, Tufts University
It is well known that the set of m-body reduced density matrices of N-body states (possibly satisfying a symmetry constraint) is convex. This also holds for vectors of m-body quantum marginals.
Lucien Hardy, Perimeter Institute
Jörg Wrachtrup, Universität Stuttgart
Aharon Brodutch, Macquarie University
Marko Lončar, Harvard
Naresh Sharma, Tata Institute of Fundamental Research