Quantifying Tri-partite Entanglement with Entropic Correlations
- URL: http://arxiv.org/abs/2004.03579v3
- Date: Wed, 22 Jul 2020 18:12:12 GMT
- Title: Quantifying Tri-partite Entanglement with Entropic Correlations
- Authors: James Schneeloch, Christopher C. Tison, Michael L. Fanto, Shannon Ray,
and Paul M. Alsing
- Abstract summary: We show how to quantify tri-partite entanglement using entropies derived from experimental correlations.
We develop an entropic witness for tripartite entanglement, and show that the degree of violation places a lower limit on the tripartite entanglement of formation.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We show how to quantify tri-partite entanglement using entropies derived from
experimental correlations. We use a multi-partite generalization of the
entanglement of formation that is greater than zero if and only if the state is
genuinely multi-partite entangled. We develop an entropic witness for
tripartite entanglement, and show that the degree of violation of this witness
places a lower limit on the tripartite entanglement of formation. We test our
results in the three-qubit regime using the GHZ-Werner state and the W-Werner
state, and in the high-dimensional pure-state regime using the triple-Gaussian
wavefunction describing the spatial and energy-time entanglement in photon
triplets generated in third-order spontaneous parametric down-conversion. In
addition, we discuss the challenges in quantifying the entanglement for
progressively larger numbers of parties, and give both entropic and
target-state-based witnesses of multi-partite entanglement that circumvent this
issue.
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