Information of a qubit interacting with a multilevel environment

Abstract

We consider the interaction of a small quantum system (a qubit) with a structured environment consisting on many levels. The qubit will experience a decoherence process, which implies that its initial information will be transferred to the environment. We investigate how this information is distributed on a given subset of levels as a function of its size, using the mutual information between both entities, in the spirit of the partial information plots studied by Zurek. In this case we observe some differences, which arise from the fact that we are partitioning just one quantum system, and not a collection of them. However some similar features, like a redundancy (in the sense that a given amount of information is shared by many subsets), which increases with the size of the environment, are also found here.

11 pages, 3 figures

References in corpus (7)

• Quantum Darwinism
• Delayed (sudden) birth of entanglement
• Optimal Dynamical Decoherence Control of a Qubit
• Mesoscopic Spin-Boson Models of Trapped Ions
• A simple example of "Quantum Darwinism": Redundant information storage in many-spin environments
• Quantum Darwinism in quantum Brownian motion: the vacuum as a witness
• Hilbert Space Average Method and adiabatic quantum search

Cited by in corpus (5)

• Strong Quantum Darwinism and Strong Independence is equivalent to Spectrum Broadcast Structure
• Objectivity (or lack there of): a comparison between predictions of quantum Darwinism and spectrum broadcast structure
• Witnessing non-objectivity in the framework of strong quantum Darwinism
• Uniqueness of the Observable Leaving Redundant Imprints in the Environment in the Context of Quantum Darwinism
• Mean first-passage time of quantum transition processes