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Compared with entanglement with multiple types of noise, entanglementincluding only one type of error is a favorable fundamental resource not onlyfor quantum communication but also for distributed quantum computation. Weconsider protocol that presents single-error-type entanglement for distantqubits via coherent-state transmission over a lossy channel. This protocol isregarded as a subroutine to serve entanglement for larger protocol to yield afinal output, such as ebits or pbits. In this paper, we provide a subroutineprotocol which achieves the global optimal for typical jointly convex yieldfunctions monotonically non-decreasing with respect to the singlet fraction,such as an arbitrary convex function of a singlet fraction and two-waydistillable entanglement/key. Entanglement generation based on remotenon-destructive parity measurement protocol [K. Azuma, H. Takeda, M. Koashi,and N. Imoto, Phys. Rev. A 85, 062309 (2012)] is identified as such an optimalsubroutine.

Optimal supplier of single-error-type entanglement via coherent-state transmission