Multipartite entanglement in three-mode Gaussian states of continuous variable systems: Quantification, sharing structure, and decoherence
نویسندگان
چکیده
Gerardo Adesso, Alessio Serafini and Fabrizio Illuminati Dipartimento di Fisica “E. R. Caianiello”, Università degli Studi di Salerno; CNR-Coherentia, Gruppo di Salerno; and INFN Sezione di Napoli-Gruppo Collegato di Salerno; Via S. Allende, 84081 Baronissi (SA), Italy Centre for Quantum Computation, DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom Institute for Mathematical Sciences, Imperial College London, SW7 2PE, United Kingdom; and QOLS, The Blackett Laboratory, Imperial College London, Prince Consort Road, SW7 2BW, United Kingdom Department of Physics & Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom (Dated: December 16, 2005)
منابع مشابه
Entanglement in continuous variable systems: Recent advances and current perspectives
We review the theory of continuous-variable entanglement with special emphasis on foundational aspects, conceptual structures, and mathematical methods. Much attention is devoted to the discussion of separability criteria and entanglement properties of Gaussian states, for their great practical relevance in applications to quantum optics and quantum information, as well as for the very clean fr...
متن کاملContinuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems
For continuous-variable systems, we introduce a measure of entanglement, the continuous variable tangle (contangle), with the purpose of quantifying the distributed (shared) entanglement in multimode, multipartite Gaussian states. This is achieved by a proper convex roof extension of the squared logarithmic negativity. We prove that the contangle satisfies the Coffman-Kundu-Wootters monogamy in...
متن کاملBipartite and Multipartite Entanglement of Gaussian States
In this chapter we review the characterization of entanglement in Gaus-sian states of continuous variable systems. For two-mode Gaussian states, we discuss how their bipartite entanglement can be accurately quantified in terms of the global and local amounts of mixedness, and efficiently estimated by direct measurements of the associated purities. For multimode Gaussian states endowed with loca...
متن کاملQuantification and scaling of multipartite entanglement in continuous variable systems.
We present a theoretical method to determine the multipartite entanglement between different partitions of multimode, fully or partially symmetric Gaussian states of continuous variable systems. For such states, we determine the exact expression of the logarithmic negativity and show that it coincides with that of equivalent two-mode Gaussian states. Exploiting this reduction, we demonstrate th...
متن کاملThree-mode Gaussian states in quantum information with continuous variables
The structural aspects of tripartite entanglement in three-mode Gaussian states of continuous variable systems have been studied in [Adesso G, Serafini A and Illuminati F 2006 Phys. Rev. A 73 032345]. Here we focus our attention on the usefulness of such states in the context of realistic processing of continuous-variable quantum information. We introduce and discuss in detail several examples ...
متن کامل