Entanglement frustration in multimode Gaussian states
arXiv:1110.3725 · doi:10.1142/S0219887812600225
Abstract
Bipartite entanglement between two parties of a composite quantum system can be quantified in terms of the purity of one party and there always exists a pure state of the total system that maximizes it (and minimizes purity). When many different bipartitions are considered, the requirement that purity be minimal for all bipartitions gives rise to the phenomenon of entanglement frustration. This feature, observed in quantum systems with both discrete and continuous variables, can be studied by means of a suitable cost function whose minimizers are the maximally multipartite-entangled states (MMES). In this paper we extend the analysis of multipartite entanglement frustration of Gaussian states in multimode bosonic systems. We derive bounds on the frustration, under the constraint of finite mean energy, in the low and high energy limit.
4 pages, 2 figures. Contribution to "Folding and Unfolding: Interactions from Geometry. Workshop in honour of Giuseppe Marmo's 65th birthday", 8-12 June 2011, Ischia (NA) Italy
References in corpus (9)
- Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions
- Maximally multipartite entangled states
- Gaussian states in continuous variable quantum information
- Geometry of quantum systems: density states and entanglement
- Geometrization of Quantum Mechanics
- On maximal entanglement between two pairs in four-qubit pure states
- Multipartite Entanglement and Frustration
- Quantum Teamwork for Unconditional Multiparty Communication with Gaussian States
- Gaussian maximally multipartite entangled states