Stefano Chesi, Daniel Loss, et al.
New Journal of Physics
Motivated by quantum network applications over classical channels, we initiate the study of n-party resource states from which LOCC protocols can create EPRpairs between any k disjoint pairs of parties. We give constructions of such states where k is not too far from the optimal n/2 while the individual parties need to hold only a constant number of qubits. In the special case when each party holds only one qubit, we describe a family of n-qubit states with k proportional to log n based on Reed-Muller codes, as well as small numerically found examples for k = 2 and k = 3. We also prove some lower bounds, for example showing that if k = n/2 then the parties must have at least Ω(log log n) qubits each.
Stefano Chesi, Daniel Loss, et al.
New Journal of Physics
Sergey Bravyi, David Gosset, et al.
STOC 2024
Srinivasan Arunachalam, Sergey Bravyi, et al.
QIP 2023
Sergey Bravyi, Alexander Vargo
Physical Review A - AMO