2019/08/31 by Alejandro Fonseca · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Artificial intelligence #Combinatorics #Computer science #Curse of dimensionality #Dimension (graph theory) #Fidelity #Formalism (music) #Mathematics #Noise (video) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum channel #Quantum entanglement #Quantum error correction #Quantum mechanics #Quantum teleportation #Qubit #Statistical physics #Superdense coding #Telecommunications #Teleportation #Topology (electrical circuits) #quant-ph
paper · pdf · doi:10.1103/physreva.100.062311
published as Phys. Rev. A 100, 062311 (2019) · 12 pages, 8 figures. Accepted for publication at Physical Review A
arxiv created 2019/12/05 · openalex publication_date 2019/12/09 · arxiv updated 2019/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the protocol of qudit teleportation using quantum systems subjected to several kinds of noise for arbitrary dimensionality d. We consider four classes of noise: dit-flip, d-phase-flip, dit-phase-flip, and depolarizing noise, each of them corresponding to a family of Weyl operators, introduced via Kraus formalism. We derive a general expression for the average fidelity of teleportation in arbitrary dimension d for any combination of noise on the involved qudits. Under a different approach we derive the average fidelity of teleportation for a more general scenario involving the d-dimensional generalization of amplitude damping noise as well. We show that all possible scenarios may be classified in four different behaviors and discuss the cases in which it is possible to improve the fidelity by increasing the associated noise fractions. All our results are in agreement with previous analysis for the case of qubits [R. Fortes and G. Rigolin, Phys. Rev. A 92, 012338 (2015)].