Comparison of quantum discord and fully entangled fraction of two classes of $d\otimes d^2$ d ⊗ d 2 statesComparison of quantum discord and fully entangled fraction of two classes of $$d\otimes d^2$$ d ⊗ d 2 states

Javad Behdani, Seyed Javad Akhtarshenas, Mohsen Sarbishaei

Quantum Information ProcessingDec 9, 20160 citations

Comparison of quantum discord and fully entangled fraction of two classes of $d\otimes d^2$ statesComparison of quantum discord and fully entangled fraction of two classes of $d\otimes d^2$ states

Javad Behdani, Seyed Javad Akhtarshenas, Mohsen Sarbishaei

The quantumness of a generic state is the resource of many applications in quantum information theory and it is interesting to survey the measures which are able to detect its trace in the properties of the state. In this work we study the quantum discord and fully entangled fraction of two classes of bipartite states and compare their behaviors. These classes are complements to the $d\otimes d$ Werner and isotropic states, in the sense that each class possesses the same purification as the corresponding complemental class of states. Our results show that maximally entangled mixed states are also maximally discordant states, leading to a generalization of the well-known fact that all maximally entangled pure states have also maximum quantum discord. Moreover, it is shown that the separability-entanglement boundary of a Werner or isotropic state is manifested as an inflection point in the diagram of quantum discord of the corresponding complemental state.The quantumness of a generic state is the resource of many applications in quantum information theory and it is interesting to survey the measures which are able to detect its trace in the properties of the state. In this work we study the quantum discord and fully entangled fraction of two classes of bipartite states and compare their behaviors. These classes are complements to the $d\otimes d$ Werner and isotropic states, in the sense that each class possesses the same purification as the corresponding complemental class of states. Our results show that maximally entangled mixed states are also maximally discordant states, leading to a generalization of the well-known fact that all maximally entangled pure states have also maximum quantum discord. Moreover, it is shown that the separability-entanglement boundary of a Werner or isotropic state is manifested as an inflection point in the diagram of quantum discord of the corresponding complemental state.

arXiv:1604.06870Apr 23, 20160 citations

Foundations of Quantum Discord

Vlatko Vedral

arXiv:1702.01327Quantum science and technologyJan 1, 201711 citations

Weak quantum discord

Pedro R. Dieguez, R. M. Angelo

arXiv:1804.04983Quantum Information ProcessingJun 25, 201816 citations

Quantum discord with weak measurements

Uttam Singh, Arun Kumar Pati

arXiv:1211.0939Annals of PhysicsFeb 7, 201470 citations

Quantum discord of bipartite entangled non-linear coherent states

E. Castro, A. Zambrano, Celso L. Ladera +1 more

Quantum discord measures the fraction of the pair-wise mutual information that is locally inaccessible in a multipartite system. Nonzero quantum discord has interesting and significant applications because although non-zero entanglement guarantees the existence of quantum correlation in a bipartite quantum system, zero entanglement does not guarantee the absence of a quantum correlation. On the other hand, many quantum optics systems can be described as deformed quantum oscillators. In this work, we investigate the quantum discord of bipartite entangled nonlinear coherent states, in the context of the so-called f-deformed coherent states algebra. To calculate the quantum discord, we consider quasi- Werner mixed states bases on bipartite entangled f-deformed coherent states. Two explicit analytic expressions are derived for the quantum discord of two different nonlinear deformed coherent states. The first one considers deformed coherent states obtained as eigenstates of the annihilation deformed operator, and the second one is obtained by using a deformed displacement operator. We compare the quantum discord of those states, when the nonlinear deformation function is either associated with the SU(1,1) coherent states in the Gilmore-Perelomov or Barut-Girardello representations, respectively.Quantum discord measures the fraction of the pair-wise mutual information that is locally inaccessible in a multipartite system. Nonzero quantum discord has interesting and significant applications because although non-zero entanglement guarantees the existence of quantum correlation in a bipartite quantum system, zero entanglement does not guarantee the absence of a quantum correlation. On the other hand, many quantum optics systems can be described as deformed quantum oscillators. In this work, we investigate the quantum discord of bipartite entangled nonlinear coherent states, in the context of the so-called f-deformed coherent states algebra. To calculate the quantum discord, we consider quasi- Werner mixed states bases on bipartite entangled f-deformed coherent states. Two explicit analytic expressions are derived for the quantum discord of two different nonlinear deformed coherent states. The first one considers deformed coherent states obtained as eigenstates of the annihilation deformed operator, and the second one is obtained by using a deformed displacement operator. We compare the quantum discord of those states, when the nonlinear deformation function is either associated with the SU(1,1) coherent states in the Gilmore-Perelomov or Barut-Girardello representations, respectively.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIENov 18, 20130 citations

Comparison of quantum discord and fully entangled fraction of two classes of

d\otimes d^2

d ⊗ d 2 states

Comparison of quantum discord and fully entangled fraction of two classes of

d\otimes d^2

states

d\otimes d

Werner and isotropic states, in the sense that each class possesses the same purification as the corresponding complemental class of states. Our results show that maximally entangled mixed states are also maximally discordant states, leading to a generalization of the well-known fact that all maximally entangled pure states have also maximum quantum discord. Moreover, it is shown that the separability-entanglement boundary of a Werner or isotropic state is manifested as an inflection point in the diagram of quantum discord of the corresponding complemental state.