The resource theories of quantum coherence attract a lot of attentioI2 in recent years. Especially, the monotonicity property plays a crucial role here. In this paper we investigate the monotonicity property for the c...The resource theories of quantum coherence attract a lot of attentioI2 in recent years. Especially, the monotonicity property plays a crucial role here. In this paper we investigate the monotonicity property for the coherence measures induced by the Rdnyi a-relative entropy, which present in [Phys. Rev. A 94 （2016） 052336]. We show that the Rdnyi a-relative entropy of coherence does not in general satisfy the monotonicity requirement under the subselection of measurements condition and it also does not satisfy the extension of monotonicity requirement, which presents in [Phys. Rev. A 93 （2016） 032136]. Due to the Rdnyi a-relative entropy of coherence can act as a coherence monotone quantifier, we examine the trade-off relations between coherence and mixedness. Finally, some properties for the single qubit of Rdnyi 2-relative entropy of coherence are derived.展开更多
Coherence is a fundamental ingredient for quantum physics and a key resource for quantum information theory.Baumgratz,Cramer and Plenio established a rigorous framework(BCP framework)for quantifying coherence[Baumgrat...Coherence is a fundamental ingredient for quantum physics and a key resource for quantum information theory.Baumgratz,Cramer and Plenio established a rigorous framework(BCP framework)for quantifying coherence[Baumgratz T,Cramer M and Plenio M B Phys.Rev.Lett.113140401(2014)].In the present paper,under the BCP framework we provide two classes of coherence measures based on the sandwiched Rényi relative entropy.We also prove that we cannot get a new coherence measure f(C(·))by a function f acting on a given coherence measure C.展开更多
基金Supported by National Natural Science Foundation of China under Grant Nos.11271237,11671244,61671280the Higher School Doctoral Subject Foundation of Ministry of Education of China under Grant No.20130202110001+1 种基金Fundamental Research Funds for the Central Universities(GK201502004 and 2016CBY003)the Academic Leaders and Academic Backbones,Shaanxi Normal University under Grant No.16QNGG013
文摘The resource theories of quantum coherence attract a lot of attentioI2 in recent years. Especially, the monotonicity property plays a crucial role here. In this paper we investigate the monotonicity property for the coherence measures induced by the Rdnyi a-relative entropy, which present in [Phys. Rev. A 94 （2016） 052336]. We show that the Rdnyi a-relative entropy of coherence does not in general satisfy the monotonicity requirement under the subselection of measurements condition and it also does not satisfy the extension of monotonicity requirement, which presents in [Phys. Rev. A 93 （2016） 032136]. Due to the Rdnyi a-relative entropy of coherence can act as a coherence monotone quantifier, we examine the trade-off relations between coherence and mixedness. Finally, some properties for the single qubit of Rdnyi 2-relative entropy of coherence are derived.
基金Project supported by the China Scholarship Council(Grant No.201806305050)
文摘Coherence is a fundamental ingredient for quantum physics and a key resource for quantum information theory.Baumgratz,Cramer and Plenio established a rigorous framework(BCP framework)for quantifying coherence[Baumgratz T,Cramer M and Plenio M B Phys.Rev.Lett.113140401(2014)].In the present paper,under the BCP framework we provide two classes of coherence measures based on the sandwiched Rényi relative entropy.We also prove that we cannot get a new coherence measure f(C(·))by a function f acting on a given coherence measure C.
