The capacity of the quantum multiple-access channel
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TLDR
A second issue of this work is the presentation of a calculus of quantum information quantities, based on the algebraic formulation of quantum theory, which is applied to the case of noisy channels, with arbitrary input signal states.Abstract:
We define classical quantum multiway channels for transmission of classical information, after the previous work by Allahverdyan and Saakian (see Quantum Computing and Quantum Communications (Lecture Notes in Computer Science). Berlin, Germany: Springer-Verlag, vol.1509, 1999). Bounds on the capacity region are derived in a uniform way, which are analogous to the classically known ones, simply replacing Shannon (1961) entropy with von Neumann (1955) entropy. For the single receiver case (multiple-access channel) the elect capacity region is determined. These results are applied to the case of noisy channels, with arbitrary input signal states. A second issue of this work is the presentation of a calculus of quantum information quantities, based on the algebraic formulation of quantum theory.read more
Citations
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Quantum Information Theory
TL;DR: The author develops all of the tools necessary for understanding important results in quantum information theory, including capacity theorems for classical, entanglement-assisted, private and quantum communication.
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From Classical to Quantum Shannon Theory
TL;DR: Part V and VI are the culmination of this book, where all of the tools developed come into play for understanding many of the important results in quantum Shannon theory.
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A Survey on Quantum Channel Capacities
TL;DR: The properties of the quantum communication channel, the various capacity measures and the fundamental differences between the classical and quantum channels are reviewed.
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Entanglement-Assisted Capacity of Quantum Multiple-Access Channels
TL;DR: A regularized formula for the entanglement-assisted (EA) capacity region for quantum multiple-access channels (QMAC) is found and the Holevo-Schumacher-Westmoreland theorem may be obtained from a modification of the EA protocol.
References
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Mathematical Foundations of Quantum Mechanics
TL;DR: The Mathematical Foundations of Quantum Mechanics as discussed by the authors is a seminal work in theoretical physics that introduced the theory of Hermitean operators and Hilbert spaces and provided a mathematical framework for quantum mechanics.
Mathematical Foundations of Quantum Mechanics
TL;DR: The Mathematical Foundations of Quantum Mechanics as discussed by the authors is a seminal work in theoretical physics that introduced the theory of Hermitean operators and Hilbert spaces and provided a mathematical framework for quantum mechanics.
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Information Theory: Coding Theorems for Discrete Memoryless Systems
I. Csiszar,János Körner +1 more
TL;DR: This new edition presents unique discussions of information theoretic secrecy and of zero-error information theory, including the deep connections of the latter with extremal combinatorics.
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Fidelity for Mixed Quantum States
TL;DR: In this article, the authors propose a definition of fidelity for mixed quantum states in terms of Uhlmann's transition probability formula F(ϱ1, ϱ2) = {trace [(√ϱ 1ϱ2 × √ ϱ 1)1/2]}2 and give new elementary proofs of its essential properties.
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Quantum Entropy and Its Use
雅則 大矢,Dénes Petz +1 more
TL;DR: In this article, the authors introduce fundamental concepts for Entropies for Finite Quantum Systems and postulates for Entropy and Relative Entropy for General Quantum Systems, as well as Modular Theory and Auxiliaries.