Transformations of symmetric multipartite Gaussian states by Gaussian LOCC
arXiv:1403.0737 · doi:10.1103/PhysRevA.89.042331
Abstract
Multipartite quantum correlations, in spite of years of intensive research, still leave many questions unanswered. While bipartite entanglement is relatively well understood for Gaussian states, the complexity of mere qualitative characterization grows rapidly with increasing number of parties. Here, we present two schemes for transformations of multipartite permutation invariant Gaussian states by Gaussian local operations and classical communication. To this end, we use a scheme for possible experimental realization, making use of the fact, that in this picture, the whole N - partite state can be described using two separable modes. Numerically, we study entanglement transformations of tripartite states. Finally, we look at the effect our protocols have on fidelity of assisted quantum teleportation and find that while adding correlated noise does not affect the fidelity at all, there is strong evidence that partial non-demolition measurement leads to a drop in teleportation fidelity.
arXiv comment9 pages
References in corpus (26)
- Quantum information with continuous variables
- Gaussian Quantum Information
- Peres-Horodecki separability criterion for continuous variable systems
- Inseparability criterion for continuous variable systems
- Quantum interface between light and atomic ensembles
- Ultra-Large-Scale Continuous-Variable Cluster States Multiplexed in the Time Domain
- The characterization of Gaussian operations and Distillation of Gaussian States
- Multipartite entanglement for continuous variables: A quantum teleportation network
- Wavelength-Multiplexed Quantum Networks with Ultrafast Frequency Combs
- Detecting genuine multipartite continuous-variable entanglement
- Bound entangled Gaussian states
- Gaussian transformations and distillation of entangled Gaussian states
- Experimental verification of a fully inseparable tripartite continuous-variable state
- Experimental generation of four-mode continuous-variable cluster states
- Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems
- Multipartite entanglement in three-mode Gaussian states of continuous variable systems: Quantification, sharing structure and decoherence
- Measuring Gaussian quantum information and correlations using the Renyi entropy of order 2
- Separability Properties of Three-mode Gaussian States
- Multipartite Entanglement Witnesses
- Unitarily localizable entanglement of Gaussian states
- Equivalence between Entanglement and the Optimal Fidelity of Continuous Variable Teleportation
- Improving fidelity of continuous-variable teleportation via local operations
- Experimental entanglement distribution by separable states
- Distributing Entanglement with Separable States
- Gaussian localizable entanglement
- Gaussian local unitary equivalence of -mode Gaussian states and Gaussian transformations by local operations with classical communication