Kraft, Tristan: Aspects of quantum resources: coherence, measurements, and network correlations. 2020
Inhalt
- Abstract
- Zusammenfassung
- Table of Contents
- Introduction
- Preliminaries
- States and effects
- Multipartite systems and their subsystems
- Quantum dynamics and the measurement process
- Coherence
- Entanglement
- Bipartite entanglement
- Multipartite entanglement
- Quantification of entanglement
- Quantum marginal problem
- Bell nonlocality
- Incompatible quantum devices
- Einstein-Podolsky-Rosen steering
- Semidefinite and conic optimization
- Genuine correlated coherence
- Motivation
- Coherence of distributed systems
- A first look at correlated coherence
- A quantifier of genuine correlated coherence
- Genuine correlated coherence for pure bipartite states
- Conclusions
- Monogamy relations of quantum coherence between orthogonal subspaces
- Motivation
- Matrix norms
- Results
- Example of a single qutrit
- Detection of genuine multisubspace coherence
- Conclusions
- Entanglement in the triangle network
- Motivation
- Entanglement in the triangle network
- Triangle network with independent sources
- Constraints from tripartite mutual information
- Constraints from entanglement measures
- Local rank constraints
- Further properties of I
- Triangle network with classical correlations
- Conclusions
- Characterizing quantum networks using coherence theory
- Motivation
- Covariance matrices and coherence
- Networks with dichotomic measurements
- Networks beyond dichotomic measurements
- Characterizing networks with monogamy relations
- Further results
- Conclusions
- Quantifying measurement and state resources with conic programming
- Motivation
- State discrimination with prior information
- Incompatibility provides an advantage in state discrimination with prior information
- Any set of POVMs provides an advantage in a tailored discrimination game
- State assemblages and sub-channel discrimination
- Convex weight and state exclusion
- Conclusion
- Dynamical resources and input-output games
- Motivation
- Input-output games
- Sets of channels
- Applications
- Remarks on possible extensions
- Relation to max-relative entropy
- Conclusion
- Channel incompatibility and the quantum marginal problem
- Motivation
- Mapping between channel compatibility and the marginal problem
- Quantum memories
- From states to channels
- From channels to states
- Conclusion
- Summary and outlook
- Acknowledgments
- List of publications
- Bibliography