Niekamp, Sönke: Characterizing quantum correlations : entanglement, uncertainty relations and exponential familiesCharakterisierungen von Quantenkorrelationen : Verschränkung, Unschärferelationen und exponentielle Familien. 2012
Inhalt
- Abstract
- Zusammenfassung
- Contents
- Introduction
- Basic concepts
- Entanglement and its detection
- Bell inequalities
- Entropies
- Shannon entropy and classical relative entropy
- Other classical entropies
- Von Neumann entropy and quantum relative entropy
- Uncertainty relations
- Stabilizer formalism
- Classical exponential families of interaction spaces
- Increasing the statistical significance of entanglement detection in experiments
- Statement of the problem
- Optimizing a witness with respect to its variance
- Error estimation for multiphoton experiments
- Description of the experiment and results
- Discrimination strategies for inequivalent classes of multipartite entangled states
- Statement of the problem
- Distance measures
- Discriminating four-qubit states
- Discriminating the GHZ state from the cluster state
- Discriminating the cluster state from the GHZ state
- Application to a four-photon experiment
- Discriminating three-qubit states
- General graph states
- Conclusion and outlook
- Entropic uncertainty relations and the stabilizer formalism
- A generalization of mutual unbiasedness
- Application to graph state bases
- Uncertainty relations for several dichotomic anticommuting observables
- An uncertainty relation for stabilizing operators
- Exponential families of interaction spaces in quantum theory
- Exponential families of measurement probabilities
- Exponential families of quantum states
- Exponential and Bloch representation
- Information projection
- Information projections of stabilizer states and generalized GHZ states
- Witness operators for exponential families
- Iterative computation of the quantum information projection
- Outlook
- Conclusion
- References
- List of publications
- Acknowledgements