Entanglement without Dissipation: A Touchstone for an exact Comparison of Entanglement Measures

TL;DR

This paper investigates a simple two-body quantum system without dissipation to compare various entanglement measures, revealing their agreement and practical differences in calculation.

Contribution

It provides an exact analysis of entanglement in a dissipation-free system and compares the effectiveness of different entanglement measures.

Findings

All entanglement measures agree on the results.

Some measures are more straightforward to compute than others.

The system allows for exact entanglement quantification at all times.

Abstract

Entanglement, which is an essential characteristic of quantum mechanics, is the key element in potential practical quantum information and quantum communication systems. However, there are many open and fundamental questions (relating to entanglement measures, sudden death, etc.) that require a deeper understanding. Thus, we are motivated to investigate a simple but non-trivial correlated two-body continuous variable system in the absence of a heat bath, which facilitates an \underline{exact} measure of the entanglement at all times. In particular, we find that the results obtained from all well-known existing entanglement measures agree with each other but that, in practice, some are more straightforward to use than others.