2005/04/22 by Romàn R. Zapatrin, Roman R. Zapatrin, Zapatrin, Roman R.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0504169
12 pages, LaTeX
arxiv created 2005/04/22 · openalex publication_date 2005/04/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For a given density matrix ρ of a bipartite quantum system an asymptotical separability criterion is suggested. Using the continuous ensemble method, a sequence of separable density matrices is built which converges to ρ if and only if ρ is separable. The convergence speed is evaluated and for any given tolerance parameter κ an iterative procedure is suggested which decides in finite number of steps if there exists a separable density matrix ρκ which differs from the matrix ρ by at most κ.