The tripartite quantum-memory-assisted entropic uncertainty relation and upper bound on shareability of quantum discord

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作者
Hazhir Dolatkhah
Abolhassan Mohammadi
Soroush Haseli
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[1] Slovak Academy of Sciences,RCQI, Institute of physics
[2] University of Kurdistan,Department of Physics
[3] Urmia University of Technology,Faculty of Physics
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Quantum discord and quantum uncertainty are two important features of the quantum world. In this work, the relation between entropic uncertainty relation and the shareability of quantum discord is studied. By using tripartite quantum-memory-assisted entropic uncertainty relation, an upper bound for the shareability of quantum discord among different parties of a composite system is obtained. It is also shown that, for a specific class of tripartite states, the obtained relation could be expressed as monogamy of quantum discord. Moreover, it is illustrated that the relation could be generalized and an upper bound for the shareability of quantum discord for multipartite states is derived.
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[1]  
Heisenberg W(1927)Uber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik Z. Phys. 43 172-704
[2]  
Deutsch D(1983)Uncertainty in quantum measurements Phys. Rev. Lett. 50 631-undefined
[3]  
Kraus K(1987)Complementary observables and uncertainty relations Phys. Rev. D 35 3070-undefined
[4]  
Maassen H(1988)Generalized entropic uncertainty relations Phys. Rev. Lett. 60 1103-undefined
[5]  
Uffink JBM(2010)The uncertainty principle in the presence of quantum memory Nat. Phys. 6 659-undefined
[6]  
Berta M(2009)Conjectured strong complementary information tradeoff Phys. Rev. Lett. 103 020402-undefined
[7]  
Christandl M(2017)Entropic uncertainty relations and their applications Rev. Mod. Phys. 89 015002-undefined
[8]  
Colbeck R(2006)Formulation of the uncertainty relations in terms of the Rényi entropies Phys. Rev. A 74 052101-undefined
[9]  
Renes JM(2010)Entropic uncertainty relations-a survey New J. Phys. 12 025009-undefined
[10]  
Renner R(2012)Quantum discord and classical correlation can tighten the uncertainty principle in the presence of quantum memory Phys. Rev. A 86 042105-undefined