Genuine tripartite nonlocality of GHZ state in noninertial frames

Genuine tripartite nonlocality and entanglement in curved spacetime

“…Contrarily, when the Bell inequality is violated, we say that the two quantum systems are inseparable or have the quantum nonlocality. Quantum nonlocality is a kind of quantum behaviors, which denies the local hidden variable (LHV) model [3][4][5][6][7][8][9]. Quantum nonlocality is a very important quantum resource and has been applied in different fields, such as device-independent quantum computation, a e-mail: hszeng@hunnu.edu.cn (corresponding author) communication complexity, quantum cryptography and randomness generation [10][11][12][13][14][15].…”

Competition Mathematics as a Complement and Enhancement for In-Class Instruction

“…The method described above can accurately calculate the maximum violation of the Svetlichny inequality, but it is not easy to compute. From the point of view of solving the S(ρ abc ) expression, theoretical calculations using this method have only been successful in detecting GTN of X-form density matrices for tripartite states, such as the GHZ-class state or some simple mixed states so far [14,[16][17][18][19]. Besides, obtaining the analytical expression for S(ρ abc ) during its dynamic evolution for complex mixed states is difficult because the evolution of the density matrix from ρ (0) to ρ (t) at any moment does not follow simple laws in some cases.…”

“…In 2018, Su et al derived a method for quantitatively measuring the GTN for general three-qubit states, including pure states and mixed states [15]. This method has been widely adopted by many researchers to effectively measure the GTN of GHZ-class states in the study of relativistic and non-relativistic quantum information [16][17][18][19]. However, all the studies mentioned above have been conducted on GHZ-class states.…”

“…6, we calculate two conditions g a = g b = g c or g a = g b = gc 3 with different parameters(θ = π 4 , π 6 , π 12 ) in the ref [19], and the numerical values are in good agreement with the analytic expression of S(ρ abc ). In addition, we calculated some cases in the ref [18] and the result shows the procedure still can correctly calculate the…”

Tripartite Uncertainty, Quantum, and Classical Correlations Dynamics under Unruh Effect

“…The indisputable effect of the acceleration and relativity on quantum entanglement, which has attracted a lot of interest recently, [42][43][44][45][46][47][48][49] has sparked our curiosity about knowing the behavior of the tripartite uncertainty when the measured qubit is uniformly accelerated while the two quantum memories remain stationary. To do so, it must be taken into account that within the limits of infinite uniform acceleration the so-called Unruh effect emerges.…”