Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems
| dc.creator | Adesso, Gerardo | |
| dc.creator | Illuminati, Fabrizio | |
| dc.date | 2004-10-06 | |
| dc.date | 2006-02-02 | |
| dc.date.accessioned | 2026-07-07T06:40:45Z | |
| dc.date.available | 2026-07-07T06:40:45Z | |
| dc.description | 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. 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 inequality in all three--mode Gaussian states, and in all fully symmetric $N$--mode Gaussian states, for arbitrary $N$. For three--mode pure states we prove that the residual entanglement is a genuine tripartite entanglement monotone under Gaussian local operations and classical communication. We show that pure, symmetric three--mode Gaussian states allow a promiscuous entanglement sharing, having both maximum tripartite residual entanglement and maximum couplewise entanglement between any pair of modes. These states are thus simultaneous continuous-variable analogs of both the GHZ and the $W$ states of three qubits: in continuous-variable systems monogamy does not prevent promiscuity, and the inequivalence between different classes of maximally entangled states, holding for systems of three or more qubits, is removed. | |
| dc.description | 13 pages, 1 figure. Replaced with published version | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0410050 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0410050 | |
| dc.identifier | New J. Phys. 8, 15 (2006) | |
| dc.identifier | doi:10.1088/1367-2630/8/1/015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101480 | |
| dc.subject | Quantum Physics | |
| dc.subject | Other Condensed Matter | |
| dc.subject | Mathematical Physics | |
| dc.subject | Optics | |
| dc.title | Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems | |
| dc.type | text |