Enumerating all bilocal Clifford distillation protocols through symmetry
reduction
- URL: http://arxiv.org/abs/2103.03669v5
- Date: Tue, 17 May 2022 11:14:07 GMT
- Title: Enumerating all bilocal Clifford distillation protocols through symmetry
reduction
- Authors: Sarah Jansen, Kenneth Goodenough, S\'ebastian de Bone, Dion Gijswijt,
David Elkouss
- Abstract summary: Entanglement distillation is an essential building block in quantum communication protocols.
We study the class of near-term implementable distillation protocols that use bilocal Clifford operations.
We present circuits that achieve the highest fidelity with perfect operations and no decoherence.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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.
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