Enumerating all bilocal Clifford distillation protocols through symmetry reduction

Autor: Sarah Jansen, Kenneth Goodenough, Sébastian de Bone, Dion Gijswijt, David Elkouss
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Quantum, Vol 6, p 715 (2022)
Druh dokumentu: article
ISSN: 2521-327X
DOI: 10.22331/q-2022-05-19-715
Popis: 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.
Databáze: Directory of Open Access Journals