Classification and quantification of entanglement through wedge product and geometry
نویسندگان
چکیده
Abstract The wedge product of post-measurement vectors a two-qubit state gives rise to parallelogram, whose ‘area’ has been shown be equivalent the generalized I-concurrence measure entanglement. In multi-qudit systems, naturally leads higher dimensional parallelepiped which yields modified faithful entanglement measure. Our new fine grains monotone, wherein different entangled classes manifest with geometries. We present complete analysis bipartite qutrit case considering all possible geometric structures where three pure states can identified geometries vectors: planar vectors; mutually orthogonal and that are neither not them orthogonal. It is further demonstrated condition area volume maximization approach uncovers an inherent geometry found very useful for characterization quantification in systems.
منابع مشابه
Quantum entanglement and wedge product
In this paper, I will derive a measure of entanglement that coincides with the generalized concurrence for a general pure bi-and three-partite state based on wedge product. I will show that a further generalization of this idea to a general pure multipartite state with more than three subsystems will fail to quantify entanglement, but it defines the set of separable state for such composite state.
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15 صفحه اولQuantum entanglement measure based on wedge product
We construct an entanglement measure that coincides with the generalized concurrence for a general pure bipartite state based on wedge product. Moreover, we construct an entanglement measure for pure multiqubit states, which are entanglement monotone. Furthermore, we generalize our result on a general pure multipartite state.
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ژورنال
عنوان ژورنال: Physica Scripta
سال: 2023
ISSN: ['1402-4896', '0031-8949']
DOI: https://doi.org/10.1088/1402-4896/acdd31