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Skills Training > Lectures and Tutorials > Theory Lectures
17 noviembre 2020
THEORY LECTURE: Elements of Quantum Shannon Theory (III)

Hora: Desde 10:00h a 12:00h

Lugar: Online (Teams)

THEORY LECTURE: Elements of Quantum Shannon Theory (III)

ANDREAS WINTER

Course Outline

The lecturer will present the basics of quantum Shannon theory from a strict one-shot perspective. This means that the quantities, min- and max-entropies, are intimately related to operational tasks, and the deceptively familiar von Neumann entropies only emerge in

suitable asymptotic limits.

We will aim to cover the following information processing tasks and quantities:

  • Quantum data compression (max-entropy)
  • Privacy amplification (min-entropy)
  • Entanglement distillation by LOCC (conditional max-entropy)
  • Quantum state merging (conditional min-entropy)

In the asymptotic limit, von Neumann entropy and conditional entropy emerge, via the asymptotic equipartition property (AEP), and we can even derive the basic laws for the von Neumann entropy by information theory. Time permitting, we will touch upon several other quantities and their operational interpretation.

 

Due to recommendations in place to contribute containing the spreading of COVID-19, the Theory Lectures will be carried out remotely via MS Teams. In case you want to receive an invitation to attend the online session, you can send an email to Alba.Berenguer@icfo.eu

Hosted by HRE
Skills Training > Lectures and Tutorials > Theory Lectures
17 noviembre 2020
THEORY LECTURE: Elements of Quantum Shannon Theory (III)

Hora: Desde 10:00h a 12:00h

Lugar: Online (Teams)

THEORY LECTURE: Elements of Quantum Shannon Theory (III)

ANDREAS WINTER

Course Outline

The lecturer will present the basics of quantum Shannon theory from a strict one-shot perspective. This means that the quantities, min- and max-entropies, are intimately related to operational tasks, and the deceptively familiar von Neumann entropies only emerge in

suitable asymptotic limits.

We will aim to cover the following information processing tasks and quantities:

  • Quantum data compression (max-entropy)
  • Privacy amplification (min-entropy)
  • Entanglement distillation by LOCC (conditional max-entropy)
  • Quantum state merging (conditional min-entropy)

In the asymptotic limit, von Neumann entropy and conditional entropy emerge, via the asymptotic equipartition property (AEP), and we can even derive the basic laws for the von Neumann entropy by information theory. Time permitting, we will touch upon several other quantities and their operational interpretation.

 

Due to recommendations in place to contribute containing the spreading of COVID-19, the Theory Lectures will be carried out remotely via MS Teams. In case you want to receive an invitation to attend the online session, you can send an email to Alba.Berenguer@icfo.eu

Hosted by HRE

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