Random Unitary Evolution Model of Quantum Darwinism with pure decoherence

TL;DR

This paper investigates Quantum Darwinism within a random unitary qubit model of pure decoherence, revealing that its emergence depends on initial states and interactions, and demonstrating how to optimize environment states for maximal information storage.

Contribution

It shows Quantum Darwinism is not universal but depends on specific states and interactions, and provides a method to construct environment states for optimal information encoding.

Findings

Quantum Darwinism depends on initial states and system-environment interactions.

Artificial environment states can be designed for maximal information storage.

Quantum Darwinism is not a generic phenomenon in the studied model.

Abstract

We study the behavior of Quantum Darwinism (Zurek, [8]) within the iterative, random unitary operations qubit-model of pure decoherence (Novotny et al, [6]). We conclude that Quantum Darwinism, which describes the quantum mechanical evolution of an open system S from the point of view of its environment E, is not a generic phenomenon, but depends on the specific form of input states and on the type of S-E-interactions. Furthermore, we show that within the random unitary model the concept of Quantum Darwinism enables one to explicitly construct and specify artificial input states of environment E that allow to store information about an open system S of interest with maximal efficiency.