Quantum Information Processing with Finite Resources Mathematical Foundations /
This book provides the reader with the mathematical framework required to fully explore the potential of small quantum information processing devices. As decoherence will continue to limit their size, it is essential to master the conceptual tools which make such investigation possible. A strong emp...
| Κύριος συγγραφέας: | |
|---|---|
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
|
| Σειρά: | SpringerBriefs in Mathematical Physics,
5 |
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Introduction
- Finite Resource Information Theory 1.2 Motivating Example
- Outline of the Book
- Modeling Quantum Information
- General Remarks on Notation
- Linear Operators and Events
- Functionals and States
- Multi-Partite Systems
- Functions on Positive Operators
- Quantum Channels
- Background and Further Reading
- Norms and Metrics
- Norms for Operators and Quantum States
- Trace Distance
- Fidelity
- Purified Distance
- Background and Further Reading
- Quantum Rényi Divergence
- Classical Rényi Divergence
- Classifying Quantum Rényi Divergences
- Minimal Quantum Rényi Divergence
- Petz Quantum Rényi Divergence
- Background and Further Reading
- Conditional Rényi Entropy
- Conditional Entropy from Divergence
- Definitions and Properties.-Duality Relations and their Applications
- Chain Rules
- Background and Further Reading
- Smooth Entropy Calculus
- Min- and Max-Entropy
- Smooth Entropies
- Properties of the Smooth Entropies
- Fully Quantum Asymptotic Equipartition Property
- Background and Further Reading
- Selected Applications
- Binary Quantum Hypothesis Testing
- Entropic Uncertainty Relations
- Randomness Extraction
- Background and Further Reading
- A Some Fundamental Matrix Analysis Results
- References.
