In this letter,we propose a duality computing mode,which resembles particle-wave duality property whena quantum system such as a quantum computer passes through a double-slit.In this mode,computing operations arenot n...In this letter,we propose a duality computing mode,which resembles particle-wave duality property whena quantum system such as a quantum computer passes through a double-slit.In this mode,computing operations arenot necessarily unitary.The duality mode provides a natural link between classical computing and quantum computing.In addition,the duality mode provides a new tool for quantum algorithm design.展开更多
We establish the theory of Orlicz-Hardy spaces generated by a wide class of functions.The class will be wider than the class of all the N-functions.In particular,we consider the non-smooth atomic decomposition.The rel...We establish the theory of Orlicz-Hardy spaces generated by a wide class of functions.The class will be wider than the class of all the N-functions.In particular,we consider the non-smooth atomic decomposition.The relation between Orlicz-Hardy spaces and their duals is also studied.As an application,duality of Hardy spaces with variable exponents is revisited.This work is different from earlier works about Orlicz-Hardy spaces H（Rn）in that the class of admissible functions is largely widened.We can deal with,for example,Ф（r）≡（rp1（log（e＋1/r））q1,0〈r≤1,r^p2 （log（e＋r））q2,r〉1,with p1,p2∈（0,∞）and q1,q2∈（.∞,∞）,where we shall establish the boundedness of the Riesz transforms on H（Rn）.In particular,is neither convex nor concave when 0〈p1〈1〈p2〈∞,0〈p21〈p1〈∞or p1=p2=1 and q1,q20.If（r）≡r（log（e＋r））q,then H（Rn）=H（logH）q（Rn）.We shall also establish the boundedness of the fractional integral operators I of order∈（0,∞）.For example,I is shown to be bounded from H（logH）1^1-α/n（Rn）to Ln/（n-α）（log L）（Rn）for 0〈α〈n.展开更多
We report a phenomenon of asymmetric evolution of two two-level atoms which results from pump laser phase based on the model of[Phys.Rev.Lett.101(2008) 153601].Other than investigating the dynamical behavior of whole ...We report a phenomenon of asymmetric evolution of two two-level atoms which results from pump laser phase based on the model of[Phys.Rev.Lett.101(2008) 153601].Other than investigating the dynamical behavior of whole system,in this paper we investigate the effects of the pump laser phase on dynamic behavior of each atom.We find that two atoms show asymmetry both in time evolution of(population) excitation probability and quantum correlation with environment due to the quantum interference induced by pump laser phase as well as the dipole-dipole interaction.These phenomena are deeply related to the dynamical behavior of the whole system,therefore we can understand the dynamical behavior of whole system caused by pump laser phase from this point of view.展开更多
基金the National Fundamental Research Program under Grant No.2006CB921106National Natural Science Foundation of China under Grant Nos.10325521 and 60433050
文摘In this letter,we propose a duality computing mode,which resembles particle-wave duality property whena quantum system such as a quantum computer passes through a double-slit.In this mode,computing operations arenot necessarily unitary.The duality mode provides a natural link between classical computing and quantum computing.In addition,the duality mode provides a new tool for quantum algorithm design.
基金supported by Grant-in-Aid for Scientific Research (C) of Japan Society for the Promotion of Science (Grant No. 24540159)Grant-in-Aid for Young Scientists (B) of Japan Society for the Promotion of Science (Grant No. 24540085)
文摘We establish the theory of Orlicz-Hardy spaces generated by a wide class of functions.The class will be wider than the class of all the N-functions.In particular,we consider the non-smooth atomic decomposition.The relation between Orlicz-Hardy spaces and their duals is also studied.As an application,duality of Hardy spaces with variable exponents is revisited.This work is different from earlier works about Orlicz-Hardy spaces H（Rn）in that the class of admissible functions is largely widened.We can deal with,for example,Ф（r）≡（rp1（log（e＋1/r））q1,0〈r≤1,r^p2 （log（e＋r））q2,r〉1,with p1,p2∈（0,∞）and q1,q2∈（.∞,∞）,where we shall establish the boundedness of the Riesz transforms on H（Rn）.In particular,is neither convex nor concave when 0〈p1〈1〈p2〈∞,0〈p21〈p1〈∞or p1=p2=1 and q1,q20.If（r）≡r（log（e＋r））q,then H（Rn）=H（logH）q（Rn）.We shall also establish the boundedness of the fractional integral operators I of order∈（0,∞）.For example,I is shown to be bounded from H（logH）1^1-α/n（Rn）to Ln/（n-α）（log L）（Rn）for 0〈α〈n.
基金Supported by the National Natural Science Foundation of China under Grant No.11174109
文摘We report a phenomenon of asymmetric evolution of two two-level atoms which results from pump laser phase based on the model of[Phys.Rev.Lett.101(2008) 153601].Other than investigating the dynamical behavior of whole system,in this paper we investigate the effects of the pump laser phase on dynamic behavior of each atom.We find that two atoms show asymmetry both in time evolution of(population) excitation probability and quantum correlation with environment due to the quantum interference induced by pump laser phase as well as the dipole-dipole interaction.These phenomena are deeply related to the dynamical behavior of the whole system,therefore we can understand the dynamical behavior of whole system caused by pump laser phase from this point of view.
