Quantum Shannon Theory. The framework is illustrated with a number of examples, showcasing some of the counterintuitive phenomena taking place when information travels simultaneously through multiple transmission lines. https://www.lsu.edu/physics/colloquia-seminars/winter_HearneLecture.php 1A large part of this paperis included in the“Quantum Shannon Theory,” which will appear IEEE Information Theory Society Newsletter. We do use some mathematics from probability theory, namely, the law of large numbers. Close this message to accept cookies or find out how to manage your cookie settings. Quantum Shannon theory with superpositions of trajectories, Quantum cryptography based on Bell's theorem, Superpositions of time evolutions of a quantum system and a quantum time-translation machine, Quantum computations without definite causal structure, Perfect discrimination of no-signalling channels via quantum superposition of causal structures, Error filtration and entanglement purification for quantum communication, Enhanced communication with the assistance of indefinite causal order, Experimental error filtration for quantum communication over highly noisy channels, On the mathematical theory of quantum communication channels, Quantum tensor product structures are observable induced, Agents, subsystems, and the conservation of information, Quantum circuits cannot control unknown operations, Optimal quantum networks and one-shot entropies, Quantum plug n' play: modular computation in the quantum regime, Transforming quantum operations: quantum supermaps, Theoretical framework for quantum networks, Polar coding without alphabet extension for asymmetric models, Protocol for direct counterfactual quantum communication, Comment on ‘Protocol for direct counterfactual quantum communication’, Two-way communication with a single quantum particle, Evaluating capacities of bosonic Gaussian channels, Quantum network communication – the butterfly and beyond, https://dx.doi.org/10.6084/m9.figshare.c.4470896. In this chapter, our aim is to discuss Shannon's two main contributions in a descriptive fashion. Quantum Shannon Theory. The aim of this book is to develop "from the ground up" many of the major, exciting, pre- and post-millenium developments in the general area of study known as quantum Shannon theory. Quantum Shannon Theory & Quantum Cryptography My research is in quantum information theory, with a focus on quantum Shannon theory and quantum cryptography. Quantum Shannon Theory Information theory, which was developed by Claude Shannon starting in the late 1940s, deals with questions such as how quickly information can be sent over a noisy communications channel. Its quantum counterpart, quantum Shannon theory, explores the new possibilities arising when the information carriers are quantum systems. Quantum Shannon Theory Information theory, which was developed by Claude Shannon starting in the late 1940s, deals with questions such as how quickly information can be sent over a noisy communications channel. 1. From Classical to Quantum Shannon Theory Mark M. Wilde Hearne Institute for Theoretical Physics Department of Physics and Astronomy Center for Computation and Technology If the address matches an existing account you will receive an email with instructions to reset your password. His introduction of the field of information theory and his solutions to its two main theorems demonstrate that his ideas on communication were far beyond the other prevailing ideas in this domain around 1948. We avoid going into deep technical detail in this chapter, leaving such details for later chapters where we formally prove both classical and quantum Shannon-theoretic coding theorems. Quantum Shannon Theory Quantum information science is a synthesis of three great themes of 20th century thought: quantum physics, computer science, and information theory. The aim of this book is to develop "from the ground up" many of the major, exciting, pre- and post-millenium developments in the general area of study known as quantum Shannon theory. All rights reserved. In this chapter, our aim is to discuss Shannon's two main contributions in a descriptive fashion. Check if you have access via personal or institutional login, Entanglement-Assisted Classical Communication. Tuesday Jul 26, 2016. All of these file formats have corresponding algorithms for compressing the output of an information source. Published by the Royal Society. Those who are familiar with the Internet have used several popular data formats such as JPEG, MPEG, ZIP, GIF, etc. Lecture 1 : Patrick Hayden, Stanford University . Enter your email address below and we will send you your username, If the address matches an existing account you will receive an email with instructions to retrieve your username, Department of Computer Science, The University of Hong Kong, Pokfulam Road, Hong Kong, People's Republic of China, Department of Computer Science, University of Oxford, Wolfson Building, Parks Road, Oxford, UK. This is the 10th and final chapter of my book on Quantum Information, based on the course I have been teaching at Caltech since 1997.
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