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
CC0
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)
