SoftwareApplication
identifier: 10.4121/15082515
name: Data/software underlying the publication: Enumerating all bilocal Clifford distillation protocols through symmetry reduction
description: Data/software underlying the publication: Enumerating all bilocal Clifford distillation protocols through symmetry reduction
description: 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.
author: https://orcid.org/0000-0001-6423-8761
author: Person
  given name: Kenneth
  family name: Goodenough
  name: Kenneth Goodenough
author: https://orcid.org/0000-0003-2023-2768
author: https://orcid.org/0000-0003-0734-4511
author: Person
  given name: Sarah
  family name: Jansen
  name: Sarah Jansen
keywords: entanglement distillation
keywords: Quantum communication
keywords: distributed quantum computation
keywords: Werner state
license:
  creative work: creativeWork
    name: CC0-1.0

https://orcid.org/0000-0001-6423-8761
type: Person
given name: Sebastian
family name: de Bone
name: Sebastian de Bone

https://orcid.org/0000-0003-2023-2768
type: Person
given name: David
family name: Elkouss
name: David Elkouss

https://orcid.org/0000-0003-0734-4511
type: Person
given name: Dion
family name: Gijswijt
name: Dion Gijswijt