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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…

量子物理 · 物理学 2007-05-23 Gerardo Adesso , Fabrizio Illuminati

We present a novel, detailed study on the usefulness of three-mode Gaussian states states for realistic processing of continuous-variable quantum information, with a particular emphasis on the possibilities opened up by their genuine…

量子物理 · 物理学 2007-05-23 Gerardo Adesso , Alessio Serafini , Fabrizio Illuminati

We present a new approach to the analysis of entanglement in smooth bipartite continuous-variable states. One or both parties perform projective filterings via preliminary measurements to determine whether the system is located in some…

量子物理 · 物理学 2009-11-13 H. -C. Lin , A. J. Fisher

We show that the states generated by a three-mode spontaneous parametric downconversion (SPDC) interaction Hamiltonian possess tripartite entanglement of a different nature to other paradigmatic three-mode entangled states generated by the…

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…

量子物理 · 物理学 2008-10-14 Gerardo Adesso , Fabrizio Illuminati

The entanglement of general pure Gaussian two-mode states is examined in terms of the coefficients of the quadrature components of the wavefunction. The entanglement criterion and the entanglement of formation are directly evaluated as a…

量子物理 · 物理学 2009-11-11 R. W. Rendell , A. K. Rajagopal

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…

量子物理 · 物理学 2007-05-23 Gerardo Adesso , Alessio Serafini , Fabrizio Illuminati

We study entanglement in a system of three coupled quantum harmonic oscillators. Specifically, we use the Schmidt decomposition to analyze how the entanglement is distributed among the three subsystems. The Schmidt decomposition is a…

量子物理 · 物理学 2024-09-30 Abdeldjalil Merdaci , Ahmed Jellal

Quantum entanglement swapping is one of the most promising ways to realize the quantum connection among local quantum nodes. In this Letter, we present an experimental demonstration of the entanglement swapping between two independent…

量子物理 · 物理学 2016-12-21 Xiaolong Su , Caixing Tian , Xiaowei Deng , Qiang Li , Changde Xie , Kunchi Peng

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…

量子物理 · 物理学 2009-07-02 Gerardo Adesso , Fabrizio Illuminati

When an initially entangled pair of qubits undergoes local decoherence processes, there are a number of ways in which the original entanglement can spread throughout the multipartite system consisting of the two qubits and their…

In this thesis we study the behavior of bipartite entanglement of a large quantum system, by analyzing the distribution of the Schmidt coefficients of the reduced density matrix. Applying the general methods of classical statistical…

量子物理 · 物理学 2012-07-03 Antonella De Pasquale

When a quantum pure state is drawn uniformly at random from a Hilbert space, the state is typically highly entangled. This property of a random state is known as generic entanglement of quantum states and has been long investigated from…

量子物理 · 物理学 2020-06-23 Yoshifumi Nakata , Mio Murao

We consider physical Hamiltonians that can be represented by the multiparametric Gaussian ensembles, theoretically derive the state ensembles for its eigenstates and analyze the effect of varying system conditions on its bipartite…

量子物理 · 物理学 2026-04-14 Devanshu Shekhar , Pragya Shukla

We study entanglement and other correlation properties of random states in high-dimensional bipartite systems. These correlations are quantified by parameters that are subject to the "concentration of measure" phenomenon, meaning that on a…

量子物理 · 物理学 2007-05-23 Patrick Hayden , Debbie W. Leung , Andreas Winter

Quantum entanglement of pure states of a bipartite system is defined as the amount of local or marginal ({\em i.e.}referring to the subsystems) entropy. For mixed states this identification vanishes, since the global loss of information…

量子物理 · 物理学 2007-05-23 Gerardo Adesso , Alessio Serafini , Fabrizio Illuminati

Very recently, strongly non-Gaussian states have been observed via a direct three-mode spontaneous parametric down-conversion in a superconducting cavity [Phys. Rev. X 10, 011011 (2020)]. The created multi-photon non-Gaussian correlations…

量子物理 · 物理学 2022-08-26 Mingsheng Tian , Yu Xiang , Feng-Xiao Sun , Matteo Fadel , Qiongyi He

The states of a three-mode bosonic system with the restricted Hilbert space are discussed in the context of quantum entanglement and squeezing of quantum fluctuations. The states exhibiting non-zero tripartite entanglement are considered.…

量子物理 · 物理学 2026-03-06 Joanna K. Kalaga , Jan Perina

Entanglement plays a crucial role in quantum information protocols, thus the dynamical behavior of entangled states is of a great importance. In this paper we suggest a useful scheme that permits a direct measure of entanglement in a…

量子物理 · 物理学 2011-07-04 Smail Bougouffa , Awatif Hindi

The dynamics of a single qubit interacting by a sequence of pairwise collisions with an environment consisting of just two more qubits is analyzed. Each collision is modeled in terms of a random unitary operator with a uniform probability…

量子物理 · 物理学 2008-04-16 Giuseppe Gennaro , Giuliano Benenti , Massimo Palma
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