Separability conditions from entropic uncertainty relations

2003/07/31 by Vittorio Giovannetti · 3 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physreva.70.012102

published as Phys. Rev. A 70, 012102 (2004) · 10 pages, 2 figure (Typos removed. To appear in Phys. Rev. A)

arxiv created 2004/06/17 · openalex publication_date 2004/07/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We derive a collection of separability conditions for bipartite systems of dimension d\ifmmode×\else\texttimes\fid which is based on the entropic version of the uncertainty relations. A detailed analysis of the two-qubit case is given by comparing the new separability conditions with existing criteria.

Citations

• Separability Criterion for Density Matrices
• Optimization of entanglement witnesses
• Separability of mixed states: necessary and sufficient conditions

Cited by

• Entropic uncertainty relations and entanglement
• Entropic Entanglement Criteria for Continuous Variables
• Entanglement criteria via concave-function uncertainty relations