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
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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.ResearchData
references
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 Technology
DATA
files
- 1,068 bytes md5 allpolies_new4_all_coef.sobj
- 3,231 bytes md5 allpolies_new5_all_coef.sobj
- 12,038 bytes md5 allpolies_new6_all_coef.sobj
- 49,539 bytes md5 allpolies_new7_all_coef.sobj
- 267,784 bytes md5 allpolies_new8_all_coef.sobj
- 49,671 bytes md5 create_ratio_plot.ipynb
- 9,384 bytes md5 dejmps_optimality.ipynb
- 6,090 bytes md5 Distillation_Statistics.ipynb
- 282,289 bytes md5 Distillation_statistics_gen_plots.ipynb
- 26,058 bytes md5 Distillation_statistics_symmetric_Werner.ipynb
- 261 bytes md5 p+F+a+b+B+n2.sobj
- 377 bytes md5 p+F+a+b+B+n3.sobj
- 894 bytes md5 p+F+a+b+B+n4.sobj
- 2,374 bytes md5 p+F+a+b+B+n5.sobj
- 7,207 bytes md5 p+F+a+b+B+n6.sobj
- 27,516 bytes md5 p+F+a+b+B+n7.sobj
- 117,048 bytes md5 p+F+a+b+B+n8.sobj
- 1,131 bytes md5 README.md
- 3,217 bytes md5 Transversal.ipynb
- 1,368 bytes md5 2_transversal_inv.sobj
- 26,176 bytes md5 3_transversal_inv.sobj
- 1,577,865 bytes md5 4_transversal_inv.sobj
- 160,190,042 bytes md5 5_transversal_inv.sobj
- 159 bytes md5 allpolies_new2_all_coef.sobj
- 344 bytes md5 allpolies_new3_all_coef.sobj
- download all files (zip)