2018/03/31 by Spyros Tserkis, Josephine Dias, Timothy C. Ralph · 35 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Channel (broadcasting) #Computer science #Gaussian #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum channel #Quantum decoherence #Quantum entanglement #Quantum mechanics #Quantum teleportation #State (computer science) #Statistical physics #Superdense coding #Telecommunications #Teleportation #Topology (electrical circuits) #quant-ph
paper · pdf · doi:10.1103/physreva.98.052335
published in Physical Review A 98(5) (American Physical Society) · 12 pages, 8 figures
arxiv created 2018/07/01 · openalex publication_date 2018/11/26 · arxiv updated 2018/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Gaussian channels are the typical way to model the decoherence introduced by the environment in continuous-variable quantum states. It is known that those channels can be simulated by a teleportation protocol using as a resource state either a maximally entangled state passing through the same channel, i.e., the Choi state, or a state that is entangled at least as much as the Choi state. Since the construction of the Choi state requires infinite mean energy and entanglement, i.e., it is unphysical, we derive instead every physical state able to simulate a given channel through teleportation with finite resources and we further find the optimal ones, i.e., the resource states that require the minimum energy and entanglement. We show that the optimal resource states are pure and equally entangled to the Choi state as measured by the entanglement of formation. We also show that the same amount of entanglement is enough to simulate an equally decohering channel, while even more entanglement can simulate less decohering channels. We finally use that fact to generalize a previously known error-correction protocol by making it able to correct noise coming not only from pure loss but from thermal loss channels as well.