Operational resource theory of quantum channels

Operational Quantum Theory; Measurement Theory

Resource requirements of private quantum channels

Shannon [Sha48, Sha49] in celebrated works had shown that n bits of shared key is necessary and sufficient to transmit n-bit classical information in an information-theoretically secure way. Ambainis, Mosca, Tapp and de Wolf in [AMTdW00] considered a more general setting, referred to as Private quantum channels, in which instead of classical information, quantum states are required to be transm...

Consistent Histories and Operational Quantum Theory

In this work a generalization of the consistent histories approach to quantum mechanics is presented. We first critically review the consistent histories approach to nonrelativistic quantum mechanics in a mathematically rigorous way and give some general comments about it. We investigate to what extent the consistent histories scheme is compatible with the results of the operational formulation...

Network information theory for classical-quantum channels

Network information theory is the study of communication problems involving multiple senders, multiple receivers and intermediate relay stations. The purpose of this thesis is to extend the main ideas of classical network information theory to the study of classical-quantum channels. We prove coding theorems for the following communication problems: quantum multiple access channels, quantum int...

Quantum Entropic Logic Theory . Nonlinear Information Channels and Quantum Entanglement

Quantum entropic logic theory studies general laws of acquisition and processing of information in systems following laws of quantum mechanics, using mathematical models of information transducers – information channels – for researching of such systems’ potentialities, and develops principles of their rational use. Concept of channel capacity is the central one in classic theory of information...