An approach for quantitatively analyzing the genuine tripartite nonlocality of general three-qubit states

Su, Zhaofeng; Li, Lvzhou; Ling, Jie

doi:10.1007/s11128-018-1852-7

Cited by 9 publications

(12 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…are marginal probabilities if the shared common variable is λ 16,17 . The nonlocality of multipartite scenario is more difficult to research than the nonlocality of bipartite scenario, since it has a much more complex structure.…”

Section: Resultsmentioning

confidence: 99%

“…To be read conveniently, we briefly review the tripartite Bell scenario and Svetlichny inequality, see ref. 16 for more details.…”

Section: Resultsmentioning

confidence: 99%

“…is defined in ref. 16 as follows: As for the calculating of S( ) ρ , we need the following results. For any three-qubit state ρ, it can be represented by Pauli matrix basis:…”

Section: Resultsmentioning

confidence: 99%

“…The coefficients can be used to form three matrices which are called correlation matrices 16 , that is,…”

Section: Resultsmentioning

confidence: 99%

“…Theorem 1. Suppose 16 ρ is the density operator of a three-qubit system whose correlation matrices are T 1 , T 2 and T 3 . Then, the genuine tripartite nonlocality of the state ρ is…”

Section: Resultsmentioning

confidence: 99%

See 4 more Smart Citations

Violation of Svetlichny inequality in Triple Jaynes-Cummings Models

Wang

Zheng

2020

Sci Rep

View full text Add to dashboard Cite

We study the genuine tripartite nonlocality of some qubit states in a triple JCM. In this model, each atom state (A, B or C) was initially prepared with an independent cavity (a, b or c). By using two kinds of GHZ-like states as the atomic initial states, we investigate the genuine tripartite nonlocality as the time evolutions for the non-interaction three-qubit subsystems. We also study the genuine tripartite nonlocality of the subsystems by using the Svetlichny inequality. For the subsystems of three atoms ABC and three cavity modes abc, we show that they are genuinely nonlocal at certain period intervals of time. The states of all the other inequivalent subsystems satisfy the Svetlichny inequality for two types of GHZ-like states.

show abstract

Section: Resultsmentioning

confidence: 99%

“…To be read conveniently, we briefly review the tripartite Bell scenario and Svetlichny inequality, see ref. 16 for more details.…”

Section: Resultsmentioning

confidence: 99%

“…is defined in ref. 16 as follows: As for the calculating of S( ) ρ , we need the following results. For any three-qubit state ρ, it can be represented by Pauli matrix basis:…”

Section: Resultsmentioning

confidence: 99%

“…The coefficients can be used to form three matrices which are called correlation matrices 16 , that is,…”

Section: Resultsmentioning

confidence: 99%

“…Theorem 1. Suppose 16 ρ is the density operator of a three-qubit system whose correlation matrices are T 1 , T 2 and T 3 . Then, the genuine tripartite nonlocality of the state ρ is…”

Section: Resultsmentioning

confidence: 99%

See 3 more Smart Citations