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Tripartite information of highly entangled states

Rota, Massimiliano

Published Apr 13, 2016• 0 citations
Publisher
DOI
10.1007/jhep04%282016%29075

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Holographic systems require monogamous mutual information for validity of semiclassical geometry. This is encoded by the sign of the tripartite information (I3). We investigate the behaviour of I3 for all partitionings of systems in states which are highly entangled in a multipartite or bipartite sense. In the case of multipartite entanglement we propose an algorithmic construction that we conjecture can be used to build local maxima of I3 for any partitioning. In case of bipartite entanglement we classify the possible values of I3 for perfect states and investigate, in some examples, the effect on its sign definiteness due to deformations of the states. Finally we comment on the proposal of using I3 as a parameter of scrambling, arguing that in general its average over qubits permutations could be a more sensible measure.
The tripartite information (TMI) has emerged as a tool to sieve quantum correlations in quantum many-body systems. A negative TMI is interpreted as evidence for quantum information delocalization in chaotic systems. Here, the authors show that a negative TMI can appear in out-of-equilibrium free-fermion models, and it is linked to the presence of entangled multiplets of excitations. Negative TMI signals a weakening of the relationship between entanglement and thermodynamics, which can be understood in a generalized quasiparticle picture framework.
In this paper, we present a peculiar tripartite entangled state that is inequivalent to both the GHZ state and the W state, and then propose to implement efficient quantum information processing such as quantum dense coding and teleportation with this entangled state in cavity QED. In this scheme the atoms interact with a highly detuned cavity field with the assistance of a strong classical driven field. It does not require the transfer of quantum information between the atomic system and the cavity, and then our scheme is insensitive to both the cavity decay and the thermal field.