# From Classical to Quantum Shannon Theory

@article{Wilde2011FromCT, title={From Classical to Quantum Shannon Theory}, author={Mark M. Wilde}, journal={ArXiv}, year={2011}, volume={abs/1106.1445} }

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. As such, we spend a significant amount of time on quantum mechanics for quantum information theory (Part II), we give a careful study of the important unit protocols of teleportation, super-dense coding, and entanglement distribution (Part III), and we develop many of the tools necessary for understanding…

## Figures and Tables from this paper

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## 289 Citations

### Quantum Theory, Namely the Pure and Reversible Theory of Information

- Philosophy, PhysicsEntropy
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A short non-technical presentation of a recent derivation of Quantum Theory from information-theoretic principles shows that Quantum Theory is the only standard theory of information that is compatible with the purity and reversibility of physical processes.

### Quantum-to-classical rate distortion coding

- Computer ScienceArXiv
- 2012

A single-letter formula is derived for the minimum rate of classical communication needed for quantum-to-classical rate distortion coding in this setting, in which a sender Alice has many copies of a quantum information source.

### Quantum Side Information: Uncertainty Relations, Extractors, Channel Simulations

- Computer ScienceArXiv
- 2013

This thesis provides an information theoretic analysis by discussing entropic uncertainty relations with quantum side information and develops various kinds of quantum channel simulation results by using classical and quantum randomness extractors that also work with respect to quantum side Information.

### Entanglement cost of quantum channels

- Computer Science2012 IEEE International Symposium on Information Theory Proceedings
- 2012

Here, it is shown that any coding scheme that sends quantum information through a quantum channel at a rate larger than the entanglement cost of the channel has an exponentially small fidelity.

### Identifying the Information Gain of a Quantum Measurement

- Computer ScienceIEEE Transactions on Information Theory
- 2014

We show that quantum-to-classical channels, i.e., quantum measurements, can be asymptotically simulated by an amount of classical communication equal to the quantum mutual information of the…

### Energy-Constrained Quantum Communication and Digital Dynamical Decoupling

- Computer Science, Physics
- 2017

This thesis studies the ultimate rate of reliably transmitting information, stored in quantum systems, through a noisy evolution, and considers communication over optical links, upon which future inter-city quantum communication networks will be built.

### Entanglement Cost of Quantum Channels

- Computer Science, PhysicsIEEE Transactions on Information Theory
- 2013

This paper shows how to express theEntanglement cost of a quantum channel as a regularized optimization of the entanglement formation over states that can be generated between sender and receiver and proves security for storage devices for which no results were known before.

### Information theoretic resources in quantum theory

- Physics
- 2012

Resource identification and quantification is an essential element of both classical and quantum information theory. Entanglement is one of these resources, arising when quantum communication and…

### A Survey on Quantum Channel Capacities

- PhysicsIEEE Communications Surveys & Tutorials
- 2018

The properties of the quantum communication channel, the various capacity measures and the fundamental differences between the classical and quantum channels are reviewed.

### Identification via Quantum Channels

- Computer ScienceInformation Theory, Combinatorics, and Search Theory
- 2013

The development of the quantum version of Ahlswede and Dueck's theory of identification via channels is reviewed, finding at least two different concepts of identification of classical information via quantum channels, and three different identification capacities for quantum information.

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