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We demonstrate the capability of continuous variable Gaussian states to communicate multipartite quantum information. A quantum teamwork protocol is presented according to which an arbitrary possibly entangled multimode state can be…

Quantum Physics · Physics 2009-08-13 Jing Zhang , Gerardo Adesso , Changde Xie , Kunchi Peng

In this chapter we review the characterization of entanglement in Gaussian 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…

Quantum Physics · Physics 2007-05-23 Gerardo Adesso , Fabrizio Illuminati

We present a complete analysis of multipartite entanglement of three-mode Gaussian states of continuous variable systems. We derive standard forms which characterize the covariance matrix of pure and mixed three-mode Gaussian states up to…

Quantum Physics · Physics 2007-05-23 Gerardo Adesso , Alessio Serafini , Fabrizio Illuminati

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…

Quantum Physics · Physics 2009-07-02 Gerardo Adesso , Fabrizio Illuminati

We experimentally prepare a new type of continuous variable genuine four-partite entangled states, the quantum correlation property of which is different from that of the four-mode GHZ and cluster states, and which has not any qubit…

Quantum Physics · Physics 2009-11-13 Aihong Tan , Yu Wang , Xiaoli Jin , Xiaolong Su , Xiaojun Jia , Jing Zhang , Changde Xie , Kunchi Peng

We study the properties of bi-squeezed tripartite Gaussian states created by two spontaneous parametric down-conversion processes that share a common idler. We give a complete description of the quantum correlations across of all…

Quantum Physics · Physics 2017-06-23 David Edward Bruschi , Carlos Sabín , Gheorghe Sorin Paraoanu

We study Gaussian valence bond states of continuous variable systems, obtained as the outputs of projection operations from an ancillary space of M infinitely entangled bonds connecting neighboring sites, applied at each of $N$ sites of an…

Quantum Physics · Physics 2007-10-03 Gerardo Adesso , Marie Ericsson

Non-Gaussian entangled states play a crucial role in harnessing quantum advantage in continuous-variable quantum information. However, how to fully characterize N-partite (N > 3) non-Gaussian entanglement without quantum state tomography…

Quantum Physics · Physics 2023-12-05 Da Zhang , David Barral , Yanpeng Zhang , Kamel Bencheikh

Quantum mechanics imposes 'monogamy' constraints on the sharing of entanglement. We show that, despite these limitations, entanglement can be fully 'promiscuous', i.e. simultaneously present in unlimited two-body and many-body forms in…

Quantum Physics · Physics 2007-08-25 Gerardo Adesso , Marie Ericsson , Fabrizio Illuminati

The positivity of the partial transpose is in general only a necessary condition for separability. There exist quantum states that are not separable, but nevertheless are positive under partial transpose. States of this type are known as…

Quantum Physics · Physics 2019-08-14 Shan Ma , Matthew J. Woolley , Xiaojun Jia , Jing Zhang

Continuous-variable Gaussian entanglement is an attractive notion, both as a fundamental concept in quantum information theory, based on the well-established Gaussian formalism for phase-space variables, and as a practical resource in…

Quantum Physics · Physics 2026-05-07 E. Shchukin , P. van Loock

For continuous-variable systems, we introduce a measure of entanglement, the continuous variable tangle ({\em contangle}), with the purpose of quantifying the distributed (shared) entanglement in multimode, multipartite Gaussian states.…

Quantum Physics · Physics 2007-05-23 Gerardo Adesso , Fabrizio Illuminati

The distribution of entanglement between macroscopically separated parties represents a crucial protocol for future quantum information networks. Surprisingly, it has been theoretically shown that two distant systems can be entangled by…

We consider entanglement swapping with general mixed two-mode Gaussian states and calculate the optimal gains for a broad class of such states including those states most relevant in communication scenarios. We show that for this class of…

Quantum Physics · Physics 2013-05-29 Jason Hoelscher-Obermaier , Peter van Loock

Entangling two systems at distant locations using a {\it separable} mediating ancilla is a counterintuitive phenomenon proposed for qubits by T. Cubitt {\it et al}. [Phys. Rev. Lett. {\bf 91}, 037902 (2003)]. We show that such entanglement…

Quantum Physics · Physics 2012-08-27 Ladislav Mišta, , Natalia Korolkova

We investigate the structural aspects of genuine multipartite entanglement in Gaussian states of continuous variable systems. Generalizing the results of [Adesso & Illuminati, Phys. Rev. Lett. 99, 150501 (2007)], we analyze whether the…

Quantum Physics · Physics 2008-10-14 Gerardo Adesso , Fabrizio Illuminati

Quantum entanglement is a fundamental resource for quantum information processing and is widely used in quantum communication, quantum computation and quantum metrology. Early research on quantum entanglement mainly focus on qubit states,…

Quantum Physics · Physics 2022-12-02 Linxiang Zhou , Qiao Xu , Tianfeng Feng , Xiaoqi Zhou

Triple-photon states generated by three-mode spontaneous parametric down-conversion are the paradigm of unconditional non-Gaussian states, essential assets for quantum advantage. How to fully characterize their non-Gaussian entanglement…

Quantum Physics · Physics 2023-03-15 Da Zhang , David Barral , Yanpeng Zhang , Min Xiao , Kamel Bencheikh

Given a certain amount of entanglement available as a resource, what is the most efficient way to accomplish a quantum task? We address this question in the relevant case of continuous variable quantum teleportation protocols implemented…

Quantum Physics · Physics 2017-11-29 Pietro Liuzzo-Scorpo , Andrea Mari , Vittorio Giovannetti , Gerardo Adesso

We derive a necessary and sufficient condition for the separability of tripartite three mode Gaussian states, that is easy to check for any such state. We give a classification of the separability properties of those systems and show how to…

Quantum Physics · Physics 2009-11-07 Geza Giedke , Barbara Kraus , Maciej Lewenstein , J. Ignacio Cirac
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