2005/06/30 by Dong Yang, Michał Horodecki, Michal Horodecki +2
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.1103/physrevlett.95.190501
published as Phys. Rev. Lett. 95, 190501 (2005) · The publication version. As noted in quant-ph/0510035, the result also implies that the mathematical definition of entangled states is equivalent to the physical definition in the sense of states preparation by LOCC
arxiv created 2005/10/31 · openalex publication_date 2005/10/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derive a new inequality for entanglement for a mixed four-partite state. Employing this inequality, we present a one-shot lower bound for entanglement cost and prove that entanglement cost is strictly larger than zero for any entangled state. We demonstrate that irreversibility occurs in the process of formation for all nondistillable entangled states. In this way we solve a long standing problem of how "real" is entanglement of bound entangled states. Using the new inequality we also prove the impossibility of local cloning of a known entangled state.