%0 Computer Program
%A de Bone, Sebastian
%A Goodenough, Kenneth
%A Elkouss, David
%A Gijswijt, Dion
%A Jansen, Sarah
%D 2021
%T Data/software underlying the publication: Enumerating all bilocal Clifford distillation protocols through symmetry reduction
%U https://data.4tu.nl/articles/software/Data_software_underlying_the_publication_Enumerating_all_bilocal_Clifford_distillation_protocols_through_symmetry_reduction/15082515/1
%R 10.4121/15082515.v1
%K entanglement distillation
%K Werner state
%K Quantum communication
%K distributed quantum computation
%X 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.
%I 4TU.ResearchData