An elementary introduction into algebraic approach to unified quantum information theory and operational approach to quantum entanglement as generalized encoding is given. After introducing compound quantum state and two types of informational divergences, namely, Araki-Umegaki (a-type) and of Belavkin-Staszewski (b-type) quantum relative entropic information, this paper treats two types of quantum mutual information via entanglement and defines two types of corresponding quantum channel capacities as the supremum via the generalized encodings. It proves the additivity property of quantum channel capacities via entanglement, which extends the earlier results of V. P. Belavkin to products of arbitrary quantum channels for quantum relative en...
In this thesis we analyse the type of states and ensembles which achieve the capacity for certain qu...
The entanglement cost of a quantum channel is the minimal rate at which entanglement (between sender...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2019Cataloged from PDF...
An elementary introduction into algebraic approach to uni\u85ed quan-tum information theory and oper...
The pure quantum entanglement is generalized to the case of mixed compound states on an operator alg...
We study universal quantum codes for entanglementassisted quantum communication over compound quantu...
The information spectrum approach gives general formulae for optimal rates of various information th...
In this project, bridging entropy econometrics, game theory and information theory, a game theoretic...
The more than thirty years old issue of the (classical) information capacity of quantum communicatio...
The more than thirty years old issue of the information capacity of quantum communication channels w...
In this paper we show how the metric theory of tensor products developed by Grothendieck perfectly f...
Entanglement and entanglement-assisted are useful resources to enhance the mutual information of the...
We provide a versatile upper bound on the number of maximally entangled qubits, or private bits, sha...
We give a capacity formula for the classical information transmission over a noisy quantum channel, ...
The transmission of classical information over a classical channel gave rise to the classical capaci...
In this thesis we analyse the type of states and ensembles which achieve the capacity for certain qu...
The entanglement cost of a quantum channel is the minimal rate at which entanglement (between sender...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2019Cataloged from PDF...
An elementary introduction into algebraic approach to uni\u85ed quan-tum information theory and oper...
The pure quantum entanglement is generalized to the case of mixed compound states on an operator alg...
We study universal quantum codes for entanglementassisted quantum communication over compound quantu...
The information spectrum approach gives general formulae for optimal rates of various information th...
In this project, bridging entropy econometrics, game theory and information theory, a game theoretic...
The more than thirty years old issue of the (classical) information capacity of quantum communicatio...
The more than thirty years old issue of the information capacity of quantum communication channels w...
In this paper we show how the metric theory of tensor products developed by Grothendieck perfectly f...
Entanglement and entanglement-assisted are useful resources to enhance the mutual information of the...
We provide a versatile upper bound on the number of maximally entangled qubits, or private bits, sha...
We give a capacity formula for the classical information transmission over a noisy quantum channel, ...
The transmission of classical information over a classical channel gave rise to the classical capaci...
In this thesis we analyse the type of states and ensembles which achieve the capacity for certain qu...
The entanglement cost of a quantum channel is the minimal rate at which entanglement (between sender...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2019Cataloged from PDF...