Search results for "multipartite entanglement"

showing 2 items of 42 documents

A criterion for entanglement in two two-level systems

2007

We prove a necessary and sufficient condition for the occurrence of entanglement in two two-level systems, simple enough to be of experimental interest. Our results are illustrated in the context of a spin star system analyzing the exact entanglement evolution of the central couple of spins.

Statistics and ProbabilityPhysicsQuantum PhysicsFOS: Physical sciencesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsObservableQuantum entanglementQuantum PhysicsSquashed entanglementMultipartite entanglementClassical mechanicsSimple (abstract algebra)Modeling and SimulationsystemsStatistical physicsQuantum Physics (quant-ph)Mathematical PhysicsSpin-½
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Topological Minimally Entangled States via Geometric Measure

2014

Here we show how the Minimally Entangled States (MES) of a 2d system with topological order can be identified using the geometric measure of entanglement. We show this by minimizing this measure for the doubled semion, doubled Fibonacci and toric code models on a torus with non-trivial topological partitions. Our calculations are done either quasi-exactly for small system sizes, or using the tensor network approach in [R. Orus, T.-C. Wei, O. Buerschaper, A. Garcia-Saez, arXiv:1406.0585] for large sizes. As a byproduct of our methods, we see that the minimisation of the geometric entanglement can also determine the number of Abelian quasiparticle excitations in a given model. The results in …

Statistics and ProbabilityPhysicsQuantum PhysicsFibonacci numberToric codeStrongly Correlated Electrons (cond-mat.str-el)High Energy Physics - Lattice (hep-lat)FOS: Physical sciencesStatistical and Nonlinear PhysicsTorusQuantum entanglementTopologyMultipartite entanglementCondensed Matter - Strongly Correlated ElectronsHigh Energy Physics - LatticeTopological orderStatistics Probability and UncertaintyAbelian groupQuantum Physics (quant-ph)Quantum
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