Data/software underlying the publication: Enumerating all bilocal Clifford distillation protocols through symmetry reduction
DOI:10.4121/15082515.v1
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DOI: 10.4121/15082515
DOI: 10.4121/15082515
Datacite citation style
de Bone, Sebastian; Goodenough, Kenneth; Elkouss, David; Gijswijt, Dion; Jansen, Sarah (2021): Data/software underlying the publication: Enumerating all bilocal Clifford distillation protocols through symmetry reduction. Version 1. 4TU.ResearchData. software. https://doi.org/10.4121/15082515.v1
Other citation styles (APA, Harvard, MLA, Vancouver, Chicago, IEEE) available at Datacite
Software
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.
History
- 2021-09-22 first online, published, posted
Publisher
4TU.ResearchDataReferences
Funding
- QIA project (funded by European Union’s Horizon 2020, Grant Agreement No.820445)
- Quantum Software Consortium program, Netherlands Organization for Scientific Research (NWO/OCW, Project No. 024.003.037/3368)
Organizations
QuTech, Delft University of TechnologyDATA
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Transversal.ipynb -
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162,663,131 bytes unzipped