Entanglement criteria via concave-function uncertainty relations

2010/07/29 by Yichen Huang · 1 citation
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Computing Algorithms and Architecture

paper · doi:10.1103/physreva.82.012335

openalex publication_date 2010/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A general theorem as a necessary condition for the separability of quantum states in both finite and infinite dimensional systems, based on concave-function uncertainty relations, is derived. Two special cases of the general theorem are stronger than two known entanglement criteria based on the Shannon entropic uncertainty relation and the Landau-Pollak uncertainty relation, respectively; other special cases are able to detect entanglement where some famous entanglement criteria fail.

Citations

• Inseparability Criteria for Continuous Bipartite Quantum States
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
• Generalized Landau-Pollak uncertainty relation
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• Separability conditions from entropic uncertainty relations
• Entropic uncertainty relations and entanglement
• Inequalities in Fourier Analysis
• Inseparability Criterion for Continuous Variable Systems
• Separability of mixed states: necessary and sufficient conditions
• Peres-Horodecki Separability Criterion for Continuous Variable Systems
• Quantum entanglement
• Entanglement detection
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
• Matrix Analysis

Cited by

• Quantum entanglement [wikipedia]