Hofmann, Martin: Characterizing quantum correlations: the genuine multiparticle negativity as entanglement monotoneCharakterisierung von Quantenkorrelationen: Die echte Mehrteilchennegativität als Verschränkungsmaß. 2014
Inhalt
- Abstract
- Zusammenfassung
- Contents
- Introduction
- Basic concepts
- Bipartite entanglement
- Pure state
- Statistical local operations and classical communication
- Mixed states
- Positive partial transpose
- Entanglement witnesses
- Negativity
- Genuine multiparticle entanglement
- The three-particle case
- Partial separability
- Three-qubit SLOCC-equivalence
- PPT mixtures and witnesses
- Entanglement monotones
- Axioms
- Bipartite convex roof measures
- Genuine multiparticle convex roof measures
- Genuine multiparticle negativity (GMN)
- Stabiliser formalism
- Analytical characterisation of the genuine multiparticle negativity
- Genuine multiparticle entanglement in spin chains
- Generalised stabiliser formalism
- Semidefinite programming
- Semidefinite program
- Central path following algorithm
- Implementing the renormalised genuine multiparticle negativity using CVXOPT
- Conclusions
- Conclusions
- Characterizing the GMN
- Expectation values of four-site operator basis in the XY-model
- LC-classification of stabiliser subgroups
- Semidefinite programming with Python and MATLAB
- Bibliography
- List of publications