Port-based entanglement teleportation via noisy resource states

Abstract

Port-based teleportation (PBT) represents a variation of the standard quantum teleportation and is currently being employed and explored within the field of quantum information processing owing to its various applications. In this study, we focus on PBT protocol when the resource state is disrupted by local Pauli noises. Here, we fully characterise the channel of the noisy PBT protocol using Krauss representation. Especially, by exploiting the application of PBT for entanglement distribution necessary in realizing quantum networks, we investigate entanglement transmission through this protocol for each qubit considering noisy resource states, denoted as port-based entanglement teleportation (PBET). Finally, we derive upper and lower bounds for the teleported entanglement as a function of the initial entanglement and the noises. Our study demonstrates that quantum entanglement can be efficiently distributed by protocols utilizing large-sized resource states in the presence of noise and is expected to serve as a reliable guide for developing optimized PBET protocols.
To obtain these results, we address that the order of entanglement of two qubit states is preserved through the local Pauli channel, and identify the boundaries of entanglement loss through this teleportation channel.

Asymptotic teleportation scheme bridging between standard and port-based teleportation

“…Especially for D = 2, the equation (77) coincides with the asymptotic entanglement fidelity of PBQCT-2, defined as equation (46). Compared to the generalized PBQCT-2 protocol, Christandl et al [61] demonstrate that the entanglement fidelity and teleportation fidelity of deterministic PBT approaches F (Λ PBT ) → 1 − (D 2 − 1)/ (4N) and f (Λ PBT ) → 1 − (D 2 − 1)/(6N), respectively.…”

“…It also sheds light on the non-local measurements of multipartite states and advances understanding of communication complexity [39] and quantum channels [40]. Current research efforts are focused on modifying and optimizing PBT [41][42][43][44], expressing it as efficient quantum circuits [45], and analysing its performance against noise [46]. With continuous-variable teleportation being a recent focus of study [47,48] and implementation [49,50], Pereira et al [51] has generalized the PBT protocol to continuous variable systems.…”