Principles of Quantum Communication Theory: A Modern Approach

Abstract

This is a preliminary version of a book in progress on the theory of quantum communication. We adopt an information-theoretic perspective throughout and give a comprehensive account of fundamental results in quantum communication theory from the past decade (and earlier), with an emphasis on the modern one-shot-to-asymptotic approach that underlies much of today's state-of-the-art research in this field. In Part I, we cover mathematical preliminaries and provide a detailed study of quantum mechanics from an information-theoretic perspective. We also provide an extensive and thorough review of quantum entropies, and we devote an entire chapter to the study of entanglement measures. Equipped with these essential tools, in Part II we study classical communication (with and without entanglement assistance), entanglement distillation, quantum communication, secret key distillation, and private communication. In Part III, we cover the latest developments in feedback-assisted communication tasks, such as quantum and classical feedback-assisted communication, LOCC-assisted quantum communication, and secret key agreement.

arXiv commentv3: 1252 pages; new co-author added; comments welcome!

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Cited by in corpus (35)

• Real quantum operations and state transformations
• Entropic bounds on information backflow
• Estimating distinguishability measures on quantum computers
• Distinguishing Random and Black Hole Microstates
• Computable Rényi mutual information: Area laws and correlations
• Quantum Pufferfish Privacy: A Flexible Privacy Framework for Quantum Systems
• One-Shot Yield-Cost Relations in General Quantum Resource Theories
• Robust Qubit Mapping Algorithm via Double-Source Optimal Routing on Large Quantum Circuits
• On the design and analysis of near-term quantum network protocols using Markov decision processes
• Testing symmetry on quantum computers
• Equilibration of Multitime Quantum Processes in Finite Time Intervals
• Bounding the forward classical capacity of bipartite quantum channels
• Fidelity-Based Smooth Min-Relative Entropy: Properties and Applications
• Continuity of characteristics of composite quantum systems
• Attainability and lower semi-continuity of the relative entropy of entanglement, and variations on the theme
• Parallelization of Adaptive Quantum Channel Discrimination in the Non-Asymptotic Regime
• Gaussian Continuous-Variable Isotropic State
• Entanglement and non-locality in quantum protocols with identical particles
• The SWAP Imposter: Bidirectional Quantum Teleportation and its Performance
• Convergence conditions for the quantum relative entropy and other applications of the deneralized quantum Dini lemma
• Upper Bounds on the Distillable Randomness of Bipartite Quantum States
• Quantifying the unextendibility of entanglement
• A smallest computable entanglement monotone
• Optimal estimates of trace distance between bosonic Gaussian states and applications to learning
• How Deep the Theory of Quantum Communications Goes: Superadditivity, Superactivation and Causal Activation
• The $\alpha \to 1$ Limit of the Sharp Quantum Rényi Divergence
• A Converse for Fault-tolerant Quantum Computation
• Dual Instruments and Sequential Products of Observables
• Chain rules for quantum channels
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• Second Law of Entanglement Dynamics for the Non-Asymptotic Regime
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