Lectures on general quantum correlations and their applications / Felipe Fernandes Fanchini, Diogo de Oliveira Soares Pinto, Gerardo Adesso, editors.

Format:

Book

Contributor:

Fanchini, Felipe Fernandes, editor.

Adesso, Gerardo, editor.

Pinto, Diogo de Oliveira Soares, editor.

Series:

Quantum science and technology

Language:

English

Subjects (All):

Quantum theory.

Physical Description:

ix, 542 pages : illustrations ; 25 cm.

Place of Publication:

Cham, Switzerland : Springer, [2017]

Summary:

This book presents a distinctive way of understanding quantum correlations beyond entanglement, introducing readers to this less explored yet very fundamental aspect of quantum theory. It takes into account most of the new ideas involving quantum phenomena, resources, and applications without entanglement, both from a theoretical and an experimental point of view. This book serves as a reference for both beginner students and experienced researchers in physics and applied mathematics, with an interest in joining this novel venture towards understanding the quantum nature of the world.

Contents:

Foreword; Contents; Part I Measures of Quantum Correlations Beyond Entanglement; Foundations of Quantum Discord; 1 Introduction; 2 Discord: What It Is and How to Quantify It; 3 Outlook; References; From Discord to Entanglement; 1 Introduction; 2 Classical Versus Quantum Correlations; 3 Entanglement as Discord; 4 Discussions; References; Monogamy of Quantum Correlations

A Review; 1 Introduction; 2 Monogamy Relations of Entanglement; 2.1 Tripartite System: CKW Inequality and Beyond; 2.2 Monogamy Score; 2.3 Monogamy of Negativity and Other Entanglement Measures.

3 Information-Theoretic Measures of Quantum Correlation3.1 Quantum Discord; 3.2 Quantum Work Deficit; 3.3 Geometric Measure of Quantum Discord; 4 Monogamy of Quantum Discord; 4.1 Relation of Entanglement of Formation to Quantum Discord; 4.2 Conservation Law: Entanglement Versus Quantum Discord; 4.3 Relation with Interrogated Information; 4.4 Monogamy of Quantum Discord Raised to an Integer Power; 4.5 N-Partite Quantum States; 4.6 Monogamy of Quantum Discord in Open Quantum Systems; 5 Monogamy of Other Quantum Correlations; 6 Relation with Other Multiparty Measures.

6.1 Monogamy Score Versus Other Multi-site Quantumness Measures6.2 Information Complementarity: Lower Bound on Monogamy Violation; 6.3 Relation with Multiport Dense Coding Capacity; 7 Physical Applications; 7.1 State Discrimination; 7.2 Channel Discrimination; 7.3 Characterization of Quantum Many-Body Systems; 7.4 Quantum Biological Processes; 8 Conclusions; References; Measurement-Induced Nonlocality and Quantum Correlations Under Local Operations; 1 Introduction; 2 What are Quantum Correlations; 3 Measurement-Induced Nonlocality; 3.1 MIN Quantified by the Hilbert

Schmidt Norm.

3.2 MIN Quantified by the Trace Norm3.3 MIN Quantified by the Bures Distance; 3.4 MIN Quantified by the von Neumann Entropy; 3.5 MIN Quantified by the Wigner

Yanase Skew Information; 3.6 Generalization of the MIN Measure to Multipartite States; 4 Quantum Correlations Increased by Local Operations; 4.1 Condition for Local Creation of Quantum Correlations; 4.2 Quantum Correlating Power of Local Operations; 4.3 States Whose Quantum Correlations Can Be Increased; 5 Summary; References; Quantum Correlations in Multipartite Quantum Systems; 1 Introduction; 2 Multipartite Quantum Discord.

3 Geometric Correlations4 Monogamy of Quantum Correlations; 5 Conclusions; References; Geometric Measures of Quantum Correlations with Bures and Hellinger Distances; 1 Introduction; 2 Quantum Versus Classical Correlations; 2.1 Entropic Quantum Discord; 2.2 Classical-Quantum and Classical States; 2.3 Axioms on Measures of Quantum Correlations; 3 Geometric Measures of Quantum Correlations; 3.1 Contractive Distances on the Set of Quantum States; 3.2 Distances to Separable, Classical-Quantum, and Product States; 3.3 Response to Local Measurements and Unitary Perturbations.

Notes:

Includes bibliographical references.

ISBN:

3319534106

9783319534107

OCLC:

968448021