In discrete-variable quantum computation,non-Clifford T-gates play a pivotal role in achieving genuine quantum advantage.However,in the literature,T-gates are only defined for prime dimensional systems,and the absence...In discrete-variable quantum computation,non-Clifford T-gates play a pivotal role in achieving genuine quantum advantage.However,in the literature,T-gates are only defined for prime dimensional systems,and the absence of their high-dimensional counterparts in non-prime dimensional systems raises the issue of how to introduce certain T-gates in such systems.In continuous-variable quantum computation,universality is achieved through a combination of Gaussian gates and some non-Gaussian gates,such as the widely used cubic phase gates.In this work,we establish some connections between discrete-variable(Clifford/non-Clifford)gates and continuous-variable(Gaussian/non-Gaussian)gates via the powerful GKP(Gottesman-Kitaev-Preskill)encoding,which maps qudits to oscillators and serves as a bridge between discrete and continuous realms.By exploiting the analogies between the Clifford hierarchy and the Gaussian hierarchy,we derive(discrete-variable)T-gates in arbitrary(not necessarily prime)dimensional systems from well established(continuous-variable)cubic phase gates.We reveal some basic properties of the unified T-gates,and make a comparative study of various T-gates.As an application,we employ the T-gates to construct equidistributed n-angular frames and certain MUBs(mutually unbiased bases).展开更多
Three high-nitrogen stainless steels with different N contents were successfully processed by equal-channel angular pressing for one pass, and their microstructures and mechanical properties were investigated. It was ...Three high-nitrogen stainless steels with different N contents were successfully processed by equal-channel angular pressing for one pass, and their microstructures and mechanical properties were investigated. It was found that the microstructure of the billet was heterogeneous across the billet thickness, resulting in the difference in the mechanical properties due to the different deformation conditions. A relatively low strength, high uniform elongation, and high work- hardening rate for the samples at the bottom of the billet was achieved in comparison with those processed at the top. Meanwhile, it was observed that the density of deformation twins increased with the content of N; accordingly, the strength and elongation of the alloys increase with the content of N, resulting in a good strength-ductility combination.展开更多
<正>A mathematical method was developed to calculate the yield,energy spectrum and angular distribution of neutrons from D(d,n)~3He(D-D)reaction in a thick deuterium-titanium target for incident deuterons in ene...<正>A mathematical method was developed to calculate the yield,energy spectrum and angular distribution of neutrons from D(d,n)~3He(D-D)reaction in a thick deuterium-titanium target for incident deuterons in energies lower than 1.0MeV.The data of energy spectrum and angular distribution were applied to set up the neutron source model for the beam-shaping-assembly(BSA)design of Boron-Neutron-Capture-Therapy(BNCT)using MCNP-4C code. Three cases of D-D neutron source corresponding to incident deuteron energy of 1000,400 and 150 key were inves- tigated.The neutron beam characteristics were compared with the model of a 2.45 MeV mono-energetic and isotropic neutron source using an example BSA designed for BNCT irradiation.The results show significant differences in the neutron beam characteristics,particularly the fast neutron component and fast neutron dose in air,between the non-isotropic neutron source model and the 2.5 MeV mono-euergetic and isotropic neutron source model.展开更多
基金supported the National Natural Science Foundation of China,Grant Nos.12341103 and 12426671by the National Key R&D Program of China,Grant No.2020YFA0712700.
文摘In discrete-variable quantum computation,non-Clifford T-gates play a pivotal role in achieving genuine quantum advantage.However,in the literature,T-gates are only defined for prime dimensional systems,and the absence of their high-dimensional counterparts in non-prime dimensional systems raises the issue of how to introduce certain T-gates in such systems.In continuous-variable quantum computation,universality is achieved through a combination of Gaussian gates and some non-Gaussian gates,such as the widely used cubic phase gates.In this work,we establish some connections between discrete-variable(Clifford/non-Clifford)gates and continuous-variable(Gaussian/non-Gaussian)gates via the powerful GKP(Gottesman-Kitaev-Preskill)encoding,which maps qudits to oscillators and serves as a bridge between discrete and continuous realms.By exploiting the analogies between the Clifford hierarchy and the Gaussian hierarchy,we derive(discrete-variable)T-gates in arbitrary(not necessarily prime)dimensional systems from well established(continuous-variable)cubic phase gates.We reveal some basic properties of the unified T-gates,and make a comparative study of various T-gates.As an application,we employ the T-gates to construct equidistributed n-angular frames and certain MUBs(mutually unbiased bases).
基金The National Natural Science Foundation of China(NSFC)under Grant Nos.5130117951331007+1 种基金31370976financially supported this work
文摘Three high-nitrogen stainless steels with different N contents were successfully processed by equal-channel angular pressing for one pass, and their microstructures and mechanical properties were investigated. It was found that the microstructure of the billet was heterogeneous across the billet thickness, resulting in the difference in the mechanical properties due to the different deformation conditions. A relatively low strength, high uniform elongation, and high work- hardening rate for the samples at the bottom of the billet was achieved in comparison with those processed at the top. Meanwhile, it was observed that the density of deformation twins increased with the content of N; accordingly, the strength and elongation of the alloys increase with the content of N, resulting in a good strength-ductility combination.
文摘<正>A mathematical method was developed to calculate the yield,energy spectrum and angular distribution of neutrons from D(d,n)~3He(D-D)reaction in a thick deuterium-titanium target for incident deuterons in energies lower than 1.0MeV.The data of energy spectrum and angular distribution were applied to set up the neutron source model for the beam-shaping-assembly(BSA)design of Boron-Neutron-Capture-Therapy(BNCT)using MCNP-4C code. Three cases of D-D neutron source corresponding to incident deuteron energy of 1000,400 and 150 key were inves- tigated.The neutron beam characteristics were compared with the model of a 2.45 MeV mono-energetic and isotropic neutron source using an example BSA designed for BNCT irradiation.The results show significant differences in the neutron beam characteristics,particularly the fast neutron component and fast neutron dose in air,between the non-isotropic neutron source model and the 2.5 MeV mono-euergetic and isotropic neutron source model.
