Multimode entanglement and telecloning in a noisy environment

Abstract

We address generation, propagation and application of multipartite continuous variable entanglement in a noisy environment. In particular, we focus our attention on the multimode entangled states achievable by second order nonlinear crystals, {\em i.e.} coherent states of $\mathrm{SU}(m,1)$ group. The full inseparability in the ideal case is shown, whereas thresholds for separability are given for the tripartite case in the presence of noise. We then consider coherent states of $\mathrm{SU}(m,1)$ as support for a telecloning protocol, providing the first example of a completely asymmetric $1\to m$ telecloning. We derive explicitly the optimal relation among the different fidelities of the clones. The effect of noise in the various stages of the protocol is taken into account, thus permitting its adaptive modifications to the noisy environment. In the optimized scheme the clones' fidelity remains maximal even in the presence of losses (in the absence of thermal noise), for propagation times that diverge as the number of modes increases, indicating that telecloning is a more effective way to distribute quantum information then direct transmission followed by local cloning.

15 pages, 5 figures. Minor revisions. Accepted for publication in Phys. Rev. A

References in corpus (26)

• Separability Criterion for Density Matrices
• Quantum information with continuous variables
• Separability of Mixed States: Necessary and Sufficient Conditions
• Peres-Horodecki separability criterion for continuous variable systems
• Inseparability criterion for continuous variable systems
• Security of quantum key distribution using d-level systems
• On the impossibility of distilling Gaussian states with Gaussian operations
• Quantum telecloning and multiparticle entanglement
• Multipartite entanglement for continuous variables: A quantum teleportation network
• Experimental demonstration of tripartite entanglement and controlled dense coding for continuous variables
• Experimental verification of a fully inseparable tripartite continuous-variable state
• High-fidelity teleportation beyond the no-cloning limit and entanglement swapping for continuous variables
• Universal cloning of continuous quantum variables
• Separability Properties of Three-mode Gaussian States
• Optimal cloning of coherent states with a linear amplifier and beam splitters
• Quantifying decoherence in continuous variable systems
• Three-mode entanglement by interlinked nonlinear interactions in optical ${\chi }^{(2)}$ media
• Unconditional quantum cloning of coherent states with linear optics
• Quantum information distributors: Quantum network for symmetric and asymmetric cloning in arbitrary dimension and continuous limit
• Optical implementation of continuous-variable quantum cloning machines
• Continuous variable entanglement and quantum state teleportation between optical and macroscopic vibrational modes through radiation pressure
• Optimal N-to-M Cloning of Quantum Coherent States
• Transfer of nonclassical features in quantum teleportation via a mixed quantum channel
• Continuous-variable quantum teleportation through lossy channels
• Optimized teleportation in Gaussian noisy channels
• Entanglement bounds of tripartite squeezed thermal states

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• Experimental Preparation of Quadripartite Cluster and GHZ Entangled States for Continuous Variables
• Multipartite entanglement in three-mode Gaussian states of continuous variable systems: Quantification, sharing structure and decoherence
• Optical state engineering, quantum communication, and robustness of entanglement promiscuity in three-mode Gaussian states
• Experimental generation of genuine four-partite entangled states with total three-party correlation for continuous variables
• Continuous-Variable Telecloning with Phase-Conjugate Inputs
• Tripartite entanglement transfer from flying modes to localized qubits
• Demonstration of a bright and compact source of tripartite nonclassical light
• Gaussian tripartite entanglement out of equilibrium
• Continuous-Variable Quantum Information Distributor: Reversible Telecloning
• Optimal multicopy asymmetric Gaussian cloning of coherent states
• The balance of quantum correlations for a class of feasible tripartite continuous variable states
• Coupled three-mode squeezed vacuum: Gaussian steering and remote generation of Wigner negativity
• Nonclassical resource for continuous variable telecloning with non-Gaussian advantage