Separability conditions from entropic uncertainty relations
arXiv:quant-ph/0307171 · doi:10.1103/PhysRevA.70.012102
Abstract
We derive a collection of separability conditions for bipartite systems of dimensions d X d 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.
10 pages, 2 figure (Typos removed. To appear in Phys. Rev. A)
References in corpus (2)
Cited by in corpus (46)
- Entanglement detection
- Entropic Uncertainty Relations and their Applications
- The Physics of Maxwell's demon and information
- Entanglement Detection in the Stabilizer Formalism
- Entropic uncertainty relations and entanglement
- Lower bounds on concurrence and separability conditions
- Detecting multimode entanglement by symplectic uncertainty relations
- Multimode uncertainty relations and separability of continuous variable states
- Entropic Entanglement Criteria for Continuous Variables
- Quantum-memory-assisted entropic uncertainty relations
- Improved bounds in entropic uncertainty relations
- General entropy-like uncertainty relations in finite dimensions
- Collision entropy and optimal uncertainty
- Complementarity and correlations
- Detecting two-party quantum correlations in quantum key distribution protocols
- A Family of Continuous Variable Entanglement Criteria using General Entropy Functions
- Experimental Observation of Quantum Correlations in Modular Variables
- Separability conditions from the Landau-Pollak uncertainty relation
- Entanglement Detection Using Majorization Uncertainty Bounds
- From the sandwiched quantum relative Tsallis entropy to its conditional form: Separability criterion beyond local and global spectra
- Generalized Landau-Pollak Uncertainty Relation
- Entropic Entanglement Criteria for Fermion Systems
- Characterizing Nonlocal Correlations via Universal Uncertainty Relations
- Entropic measures of joint uncertainty: effects of lack of majorization
- A geometric formulation of uncertainty principle
- Conditions for separability in multiqubit systems with an accelerating qubit using a conditional entropy
- Separability conditions based on local fine-grained uncertainty relations
- Operational foundations of complementarity and uncertainty relations
- Separability of a family of one parameter W and GHZ multiqubit states using Abe-Rajagopal q-conditional entropy approach
- Entropic uncertainty relations for SIC-POVMs and MUMs
- Phase space localization of antisymmetric functions
- Entropic uncertainty relations for multiple measurements assigned with biased weights
- Rényi formulation of entanglement criteria for continuous variables
- Entanglement conditions for tripartite systems via indeterminacy relations
- Minimum Uncertainty and Entanglement
- Biseparability of noisy pseudopure, W and GHZ states using conditional quantum relative Tsallis entropy
- A tomographic approach to the sum uncertainty relation and quantum entanglement in continuous variable systems
- Tight bounds from multiple-observable entropic uncertainty relations
- Demonstration of Maxwell Demon-assistant Einstein-Podolsky-Rosen Steering via Superconducting Quantum Processor
- Complementarity relations for design-structured POVMs in terms of generalized entropies of order
- Rényi and Tsallis formulations of separability conditions in finite dimensions
- Entanglement Detection via Direct-Sum Majorization Uncertainty Relations
- A combined-probability space and (un)certainty relations for a finite-level quantum system
- Experimental investigation of majorization uncertainty relations in the high-dimensional systems
- Validation of entanglement purification by continuous variable polarization
- Spin Squeezing, Macrorealism and the Heisenberg uncertainty principle