Noise resistance of activation of the violation of the Svetlichny inequality

In this paper, we analyze the activation of the violation of the Svetlichny inequality in GHZ states in the presence of noise. We take into account bit flip, phase flip, amplitude damping and depolarizing noisy channels acting on one, two or three qubits. We find that the effect is most robust in the case of phase flip while most fragile in the case of amplitude damping channel.

[1]  Gregg Jaeger,et al.  Generic tripartite Bell nonlocality sudden death under local phase noise , 2008, 0810.0235.

[2]  Popescu,et al.  Bell's Inequalities and Density Matrices: Revealing "Hidden" Nonlocality. , 1995, Physical review letters.

[3]  V. Scarani,et al.  Quantum networks reveal quantum nonlocality. , 2010, Nature communications.

[4]  Svetlichny,et al.  Distinguishing three-body from two-body nonseparability by a Bell-type inequality. , 1987, Physical review. D, Particles and fields.

[5]  Marek Zukowski,et al.  Noise resistance of the violation of local causality for pure three-qutrit entangled states , 2014, 1402.0738.

[6]  Huai-Xin Lu,et al.  Experimental investigation of the robustness against noise for different Bell-type inequalities in three-qubit Greenberger-Horne-Zeilinger states , 2011 .

[7]  Koon Tong Goh,et al.  Geometry of the set of quantum correlations , 2017, 1710.05892.

[8]  Kamila Trzcińska,et al.  Activation of the violation of the Svetlichny inequality , 2015 .

[9]  Wonmin Son,et al.  Generalized nonlocality criteria under the correlation symmetry , 2018, Physical Review A.

[10]  S. Wehner,et al.  Bell Nonlocality , 2013, 1303.2849.

[11]  Valerio Scarani,et al.  Nonlocality tests enhanced by a third observer. , 2012, Physical review letters.

[12]  Debasis Sarkar,et al.  Revealing hidden genuine tripartite nonlocality , 2015, 1512.08138.

[13]  Xianqing Li-Jost,et al.  Tight upper bound for the maximal quantum value of the Svetlichny operators , 2017 .

[14]  Indranil Chakrabarty,et al.  Complementarity of genuine multipartite Bell nonlocality , 2016, 1603.09120.

[15]  Atul Kumar,et al.  Analysing Nonlocal Correlations in Three-qubit Partially Entangled States Under Real Conditions , 2018, International Journal of Theoretical Physics.

[16]  Pérès,et al.  Collective tests for quantum nonlocality. , 1996, Physical Review A. Atomic, Molecular, and Optical Physics.

[17]  Stefano Pironio,et al.  Definitions of multipartite nonlocality , 2011, 1112.2626.

[18]  Ashok Ajoy,et al.  Svetlichny's inequality and genuine tripartite nonlocality in three-qubit pure states , 2009, 0901.0368.

[19]  Daniel Cavalcanti,et al.  All quantum states useful for teleportation are nonlocal resources , 2012, 1207.5485.

[20]  Alejo Salles,et al.  Bound nonlocality and activation. , 2011, Physical review letters.

[21]  Kiel T. Williams,et al.  Extreme quantum entanglement in a superposition of macroscopically distinct states. , 1990, Physical review letters.

[22]  Yeong-Cherng Liang,et al.  Almost-quantum correlations and their refinements in a tripartite Bell scenario , 2016, 1608.05641.

[23]  Kamila Trzcińska,et al.  Activation of the Violation of Svetlichny Inequality for a Broad Class of States , 2016, Open Syst. Inf. Dyn..

[24]  Miguel Navascués,et al.  Operational framework for nonlocality. , 2011, Physical review letters.