Naresh Sharma, Tata Institute of Fundamental Research
Marko Lončar, Harvard
Aharon Brodutch, Macquarie University
Jörg Wrachtrup, Universität Stuttgart
Lucien Hardy, Perimeter Institute
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.
Yingkai Ouyang, Institute for Quantum Computing (IQC)
Jason Petta, Princeton University
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.
Shunlong Luo, Academy of Mathematics and Systems Scienc, Chinese Academy of Sciences