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Studying the monogamic relations between entanglement and quantum correlations

Grant number: 12/18558-5
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Effective date (Start): February 01, 2014
Effective date (End): August 31, 2017
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:Felipe Fernandes Fanchini
Grantee:Goktug Karpat
Host Institution: Faculdade de Ciências (FC). Universidade Estadual Paulista (UNESP). Campus de Bauru. Bauru , SP, Brazil
Associated scholarship(s):14/20941-7 - Non-Markovianity in quantum networks, BE.EP.PD

Abstract

Recently studies of quantum correlations is growing sharply. In this post-doctoral we intend to study relations between different measures of entanglement and quantum correlations. We intend to develop new monogamous relationships to connect the measures of entanglement given by the concurrence and tangle with new measurements of quantum correlations. Furthermore, we intend to develop a detailed study for understanding the dissipative processes of a N levels system (qudit) with the environment. We will consider various measures of correlation as the entanglement of formation, entanglement distillation, discord and classical correlation. We believe that a better understanding of these dissipative process could result in better control and "imprisonment" of quantum correlations in the system in question.

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Scientific publications (17)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
KARPAT, G.; CAKMAK, B.; FANCHINI, F. F.. Quantum coherence and uncertainty in the anisotropic XY chain. Physical Review B, v. 90, n. 10, . (08/57856-6, 12/18558-5, 12/50464-0)
ADDIS, CAROE; KARPAT, GOKTUG; MACCHIAVELLO, CHIARA; MANISCALCO, SABRINA. Dynamical memory effects in correlated quantum channels. Physical Review A, v. 94, n. 3, . (12/18558-5)
LIU, BI-HENG; HU, XIAO-MIN; CHEN, JIANG-SHAN; ZHANG, CHAO; HUANG, YUN-FENG; LI, CHUAN-FENG; GUO, GUANG-CAN; KARPAT, GOKTUG; FANCHINI, FELIPE F.; PIILO, JYRKI; et al. Time-invariant entanglement and sudden death of nonlocality. Physical Review A, v. 94, n. 6, . (14/20941-7, 15/05581-7, 12/18558-5, 08/57856-6)
MALVEZZI, A. L.; KARPAT, G.; CAKMAK, B.; FANCHINI, F. F.; DEBARBA, T.; VIANNA, R. O.. Quantum correlations and coherence in spin-1 Heisenberg chains. Physical Review B, v. 93, n. 18, . (15/05581-7, 12/18558-5, 14/20941-7, 14/21792-5, 08/57856-6)
FANCHINI, F. F.; KARPAT, G.; CAKMAK, B.; CASTELANO, L. K.; AGUILAR, G. H.; JIMENEZ FARIAS, O.; WALBORN, S. P.; SOUTO RIBEIRO, P. H.; DE OLIVEIRA, M. C.. Non-Markovianity through Accessible Information. Physical Review Letters, v. 112, n. 21, . (08/57856-6, 12/18558-5, 12/50464-0)
MALVEZZI, A. L.; KARPAT, G.; CAKMAK, B.; FANCHINI, F. F.; DEBARBA, T.; VIANNA, R. O.. Quantum correlations and coherence in spin-1 Heisenberg chains. PHYSICAL REVIEW B, v. 93, n. 18, p. 8-pg., . (08/57856-6, 14/21792-5, 14/20941-7, 12/18558-5, 15/05581-7)
LIU, BI-HENG; HU, XIAO-MIN; CHEN, JIANG-SHAN; ZHANG, CHAO; HUANG, YUN-FENG; LI, CHUAN-FENG; GUO, GUANG-CAN; KARPAT, GOKTUG; FANCHINI, FELIPE F.; PIILO, JYRKI; et al. Time-invariant entanglement and sudden death of nonlocality. HYSICAL REVIEW, v. 94, n. 6, p. 5-pg., . (08/57856-6, 15/05581-7, 14/20941-7, 12/18558-5)
KARPAT, G.; CAKMAK, B.; FANCHINI, F. F.. Quantum coherence and uncertainty in the anisotropic XY chain. PHYSICAL REVIEW B, v. 90, n. 10, p. 7-pg., . (12/50464-0, 12/18558-5, 08/57856-6)
TABESH, F. T.; KARPAT, G.; MANISCALCO, S.; SALIMI, S.; KHORASHAD, A. S.. Time-invariant discord: high temperature limit and initial environmental correlations. QUANTUM INFORMATION PROCESSING, v. 17, n. 4, . (12/18558-5)
LYYRA, HENRI; KARPAT, GOKTUG; LI, CHUAN-FENG; GUO, GUANG-CAN; PIILO, JYRKI; MANISCALCO, SABRINA. Symmetry in the open-system dynamics of quantum correlations. SCIENTIFIC REPORTS, v. 7, . (12/18558-5)
CAKMAK, BARIS; KARPAT, GOEKTUG; FANCHINI, FELIPE F.. Factorization and Criticality in the Anisotropic XY Chain via Correlations. Entropy, v. 17, n. 2, p. 790-817, . (14/20941-7, 08/57856-6, 12/18558-5, 12/50464-0)
NETO, ALAOR CERVATI; KARPAT, GOKTUG; FANCHINI, FELIPE FERNANDES. Inequivalence of correlation-based measures of non-Markovianity. Physical Review A, v. 94, n. 3, . (15/05581-7, 08/57856-6, 12/18558-5)
RAJA, S. HAMEDANI; KARPAT, G.; LAINE, E. -M.; MANISCALCO, S.; PIILO, J.; LI, C. -F.; GUO, G. -C.. Remote polarization-entanglement generation by local dephasing and frequency up-conversion. Physical Review A, v. 96, n. 1, . (12/18558-5)
ADDIS, CAROE; KARPAT, GOKTUG; MACCHIAVELLO, CHIARA; MANISCALCO, SABRINA. Dynamical memory effects in correlated quantum channels. HYSICAL REVIEW, v. 94, n. 3, p. 5-pg., . (12/18558-5)
RAJA, S. HAMEDANI; KARPAT, G.; LAINE, E. -M.; MANISCALCO, S.; PIILO, J.; LI, C. -F.; GUO, G. -C.. Remote polarization-entanglement generation by local dephasing and frequency up-conversion. HYSICAL REVIEW, v. 96, n. 1, p. 8-pg., . (12/18558-5)
HASELI, S.; KARPAT, G.; SALIMI, S.; KHORASHAD, A. S.; FANCHINI, F. F.; CAKMAK, B.; AGUILAR, G. H.; WALBORN, S. P.; SOUTO RIBEIRO, P. H.. Non-Markovianity through flow of information between a system and an environment. Physical Review A, v. 90, n. 5, . (12/18558-5, 12/50464-0)
NETO, ALAOR CERVATI; KARPAT, GOKTUG; FANCHINI, FELIPE FERNANDES. Inequivalence of correlation-based measures of non-Markovianity. HYSICAL REVIEW, v. 94, n. 3, p. 6-pg., . (08/57856-6, 15/05581-7, 12/18558-5)

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