2024/07/16 by Abhijit Mandal, Pandey, Anushree, Sovik Roy +2 · 2 citations
Computer Science · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2407.11519
openalex publication_date 2024/07/16 · openalex created_date 2024/10/26 · openalex updated_date 2026/07/28
Eylee Jung et.al\citejung2008 had conjectured that Pmax=(1)/(2) is a necessary and sufficient condition for the perfect two-party teleportation and consequently the Groverian measure of entanglement for the entanglement resource must be (1)/(√(2)). It is also known that prototype W state is not useful for standard teleportation. Agrawal and Pati\citepati2006 have successfully executed perfect (standard) teleportation with non-prototype W state. Aligned with Pati's protocol\citepati2006 we have considered here Star type tripartite states and have shown that perfect teleportation is suitable with such states. Moreover, we have taken the linear superposition of non-prototype W state and its spin-flipped version and shown that it belongs to Star class. Also, standard teleportation is possible with these states. It is observed that genuine tripartite entanglement is not necessary requirement for a state to be used as a channel for successful standard teleportation. We have also shown that these Star class states are Pmax=(1)/(4) states and their Groverian entanglement is (√(3))/(2), thus concluding that Jung conjecture is not a necessary condition.