Quantum Chaos and Quantum Information: Interactions and Implications

TL;DR

This paper explores the connection between quantum chaos and quantum information, emphasizing how chaotic dynamics influence entropy and noise in quantum systems, with implications for quantum information processing.

Contribution

It highlights the universality of quantum chaotic dynamics and discusses their implications for quantum information processing.

Findings

Quantum chaotic systems exhibit positive entropy production.

Noise in quantum systems can be modeled by chaotic interactions.

Quantum chaos influences entropy dynamics in quantum information.

Abstract

The notion of Shannon entropy is crucial for the theory of classical information. In quantum information theory, an analogous key role is played by the von Neumann entropy: quantum information processing is closely related to entropy dynamics. This reveals a direct link with the theory of quantum chaotic systems, which can be characterized by a positive entropy production. Furthermore, noise, which inevitably affects any quantum system, can be modeled by a random quantum operation or by coupling to an environment in a generic chaotic state. In this contribution, we emphasize the universality of quantum chaotic dynamics and discuss its implications for quantum information processing.