Geometric genuine multipartite entanglement for four-qubit systems

Mishra, Ansh; Raj, Aditya; Kumar, Abhishek; Mahanti, Soumik; Panigrahi, Prasanta K.

doi:10.48550/arxiv.2212.11690

Cited by 2 publications

(2 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…While the ambiguity in the definition of the entanglement measure induced by the quadrilateral geometry can be resolved by focusing on the special case of cyclic quadrilaterals, as proposed by Mishra et al, 29 it is worth…”

Section: Proposing a Geometric Path From Three To Fourmentioning

confidence: 99%

Multipartite entanglement and geometry

Xie

Eberly

2023

Photonics for Quantum 2023

View full text Add to dashboard Cite

Genuine multipartite entanglement is crucial for quantum information and quantum technologies but quantifying it has been a long-standing challenge. Most existing measures do not meet a "genuine" requirement, making them unsuitable for many applications. Here, we present a surprising triangle measure for tripartite entanglement, and introduce the extension to four-qubit systems. We discuss potential avenues for further generalizations along this geometric path. This indicates that our work may pave the way for further advancements.

show abstract

Section: Proposing a Geometric Path From Three To Fourmentioning

confidence: 99%

Multipartite entanglement and geometry

Xie

Eberly

2023

Photonics for Quantum 2023

View full text Add to dashboard Cite

show abstract

“…However, extending this measure to systems with more than three qubits is challenging due to the over-flexibility of geometric shapes. Various attempts have been made, but they either fail to meet the “genuine” requirement or lose simple geometric intuition [ 19 , 20 , 21 ].…”

Section: Introductionmentioning

confidence: 99%

Multipartite Entanglement: A Journey through Geometry

Xie,

Younis,

Mei

et al. 2024

Entropy

View full text Add to dashboard Cite

Genuine multipartite entanglement is crucial for quantum information and related technologies, but quantifying it has been a long-standing challenge. Most proposed measures do not meet the “genuine” requirement, making them unsuitable for many applications. In this work, we propose a journey toward addressing this issue by introducing an unexpected relation between multipartite entanglement and hypervolume of geometric simplices, leading to a tetrahedron measure of quadripartite entanglement. By comparing the entanglement ranking of two highly entangled four-qubit states, we show that the tetrahedron measure relies on the degree of permutation invariance among parties within the quantum system. We demonstrate potential future applications of our measure in the context of quantum information scrambling within many-body systems.

show abstract

Geometric genuine multipartite entanglement for four-qubit systems

Cited by 2 publications

References 0 publications

Multipartite entanglement and geometry

Multipartite entanglement and geometry

Multipartite Entanglement: A Journey through Geometry

Contact Info

Product

Resources

About