TY - DATA T1 - Data/software underlying the publication: Enumerating all bilocal Clifford distillation protocols through symmetry reduction PY - 2021/09/22 AU - Sébastian de Bone AU - Kenneth Goodenough AU - David Elkouss AU - Dion Gijswijt AU - Sarah Jansen UR - https://data.4tu.nl/articles/software/Data_software_underlying_the_publication_Enumerating_all_bilocal_Clifford_distillation_protocols_through_symmetry_reduction/15082515/1 DO - 10.4121/15082515.v1 KW - entanglement distillation KW - Werner state KW - Quantum communication KW - distributed quantum computation N2 - Entanglement distillation is an essential building block in quantum communication protocols. Here, we study the class of near-term implementable distillation protocols that use bilocal Clifford operations followed by a single round of communication. We introduce tools to enumerate and optimise over all protocols for up to n=5 (not necessarily equal) Bell-diagonal states using a commodity desktop computer. Furthermore, by exploiting the symmetries of the input states, we find all protocols for up to n=8 copies of a Werner state. For the latter case, we present circuits that achieve the highest fidelity with perfect operations and no decoherence. These circuits have modest depth and number of two-qubit gates. Our results are based on a correspondence between distillation protocols and double cosets of the symplectic group, and improve on previously known protocols. ER -