Converting multilevel nonclassicality into genuine multipartite entanglement

Regula, Bartosz; Piani, Marco; Cianciaruso, Marco; Bromley, Thomas R.; Streltsov, Alexander; Adesso, Gerardo

Abstract

Characterizing genuine quantum resources and determining operational rules for their manipulation are crucial steps to appraise possibilities and limitations of quantum technologies. Two such key resources are nonclassicality, manifested as quantum superposition between reference states of a single system, and entanglement, capturing quantum correlations among two or more subsystems. Here we present a general formalism for the conversion of nonclassicality into multipartite entanglement, showing that a faithful reversible transformation between the two resources is always possible within a precise resource-theoretic framework. Specializing to quantum coherence between the levels of a quantum system as an instance of nonclassicality, we introduce explicit protocols for such a mapping. We further show that the conversion relates multilevel coherence and multipartite entanglement not only qualitatively, but also quantitatively, restricting the amount of entanglement achievable in the process and in particular yielding an equality between the two resources when quantified by fidelity-based geometric measures.

Citation

Regula, B., Piani, M., Cianciaruso, M., Bromley, T. R., Streltsov, A., & Adesso, G. (2018). Converting multilevel nonclassicality into genuine multipartite entanglement. New Journal of Physics, 20, Article 033012. https://doi.org/10.1088/1367-2630/aaae9d

• Journal Article Type: Article
• Acceptance Date: Feb 12, 2018
• Online Publication Date: Feb 12, 2018
• Publication Date: Mar 26, 2018
• Deposit Date: Mar 5, 2018
• Publicly Available Date: Mar 5, 2018
• Journal: New Journal of Physics
• Electronic ISSN: 1367-2630
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 20
• Article Number: 033012
• DOI: https://doi.org/10.1088/1367-2630/aaae9d
• Public URL: https://nottingham-repository.worktribe.com/output/921621
• Publisher URL: http://iopscience.iop.org/article/10.1088/1367-2630/aaae9d/meta
• Contract Date: Mar 5, 2018