Entropic uncertainty relations and entanglement

2004/03/31 by Otfried Gühne, Otfried Guehne, Maciej Lewenstein · 2 citations
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #quant-ph

paper · pdf · doi:10.1103/physreva.70.022316

published as Phys. Rev. A 70, 022316 (2004) · 8 pages, 3 figures, v2: small changes

openalex publication_date 2004/08/24 · arxiv created 2004/08/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We discuss the relationship between entropic uncertainty relations and entanglement. We present two methods for deriving separability criteria in terms of entropic uncertainty relations. In particular, we show how any entropic uncertainty relation on one part of the system results in a separability condition on the composite system. We investigate the resulting criteria using the Tsallis entropy for two and three qubits.

Citations

• Geometric measure of entanglement and applications to bipartite and multipartite quantum states
• Three qubits can be entangled in two inequivalent ways
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Distinguishing Separable and Entangled States
• Negative Entropy and Information in Quantum Mechanics
• Complete family of separability criteria
• Violation of local uncertainty relations as a signature of entanglement
• A Mathematical Theory of Communication
• Entanglement detection based on interference and particle counting
• Wehrl entropy, Lieb conjecture, and entanglement monotones
• Optimization of entanglement witnesses
• Reflections upon separability and distillability
• Die gegenw�rtige Situation in der Quantenmechanik
• Separability conditions from entropic uncertainty relations
• �ber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik
• Inseparability Criterion for Continuous Variable Systems
• Entanglement detection in optical lattices of bosonic atoms with collective measurements
• Matrix Analysis

Cited by

• Entanglement criteria via concave-function uncertainty relations
• Quantum entanglement [wikipedia]