Leandro Aolita (former PhD student at IF-UFRJ and now Marie Curie fellow at Freie Universität Berlin), Luiz Davidovich (IF-URFJ), and I (Fernando) (qig@CBPF), finally put online a preliminary version of our review paper on the dynamics of entanglement in open quantum systems. You can find the review at arXiv:1402.3713 .
It took us six years of intensive work to get this done. It was almost painful, but we are really happy with the outcome! The preliminary version of the review is 76 pages long, contains 32 pictures, and 500 citations! And it’s still growing!! We tried to be very careful in not only to compile a bunch of interesting results, but also to give the necessary tools and insights as to make the results clear. We hope that it’s going to be useful and accessible both for experts and beginners, theoreticians and experimentalists. Comments are welcome!
Without further ado:
Title: Open-System Dynamics of Entanglement
Authors: Leandro Aolita, Fernando de Melo, Luiz Davidovich
Available at: arXiv:1402.3713
Abstract: “One of the greatest challenges in the fields of quantum information processing and quantum technologies is the detailed coherent control over each and all of the constituents of quantum systems with an ever increasing number of particles. Within this endeavor, the harnessing of many-body entanglement against the detrimental effects of the environment is a major and pressing issue. Besides being an important concept from a fundamental standpoint, entanglement has been recognised as a crucial resource for quantum speed-ups or performance enhancements over classical methods. Understanding and controlling many-body entanglement in open systems may have strong implications in quantum computing, quantum simulations of many-body systems, secure quantum communication or cryptography, quantum metrology, our understanding of the quantum-to-classical transition, and other important questions of quantum foundations.
In this paper we present an overview of recent theoretical and experimental efforts to underpin the dynamics of entanglement under the influence of noise. Entanglement is thus taken as a dynamic quantity on its own, and we survey how it evolves due to the unavoidable interaction of the entangled system with its surroundings. We analyse several scenarios, corresponding to different families of states and environments, which render a very rich diversity of dynamical behaviors.
In contrast to single-particle quantities, like populations and coherences, which typically vanish only asymptotically in time, entanglement may disappear at a finite time. In addition, important classes of entanglement display an exponential decay with the number of particles when subject to local noise, which poses yet another threat to the already-challenging scaling of quantum technologies. Other classes, however, turn out to be extremely robust against local noise. Theoretical results and recent experiments regarding the difference between local and global decoherence are summarized. Control and robustness-enhancement techniques, scaling laws, statistical and geometrical aspects of multipartite-entanglement decay are also reviewed; all in order to give a broad picture of entanglement dynamics in open quantum systems addressed to both theorists and experimentalists inside and outside the field of quantum information.”