Methods of quantum information processing often appear in terms of specially selected states.For example,mutually unbiased bases(MUBs)and symmetric informationally complete measurements are widely applied.Finite frame...Methods of quantum information processing often appear in terms of specially selected states.For example,mutually unbiased bases(MUBs)and symmetric informationally complete measurements are widely applied.Finite frames have found use in many areas including quantum information.Due to its specific inner structure,a single equiangular tight frame(ETF)allows one to formulate criteria to detect non-classical correlations.This study aims to approach entanglement detection with the use of mutually unbiased ETFs.Such frames are an interesting generalization of widely recognized MUBs.It still uses rank-one operators,but the number of outcomes can exceed the dimensionality.Several approaches are considered including separability criteria and entanglement witnesses.Separability criteria for multipartite systems are finally obtained.展开更多
Improvement of the detection ability of quantum entanglement is one of the essential tasks in quantum computing and quantum information.Finite tight frames play a fundamental role in a wide variety of areas and,genera...Improvement of the detection ability of quantum entanglement is one of the essential tasks in quantum computing and quantum information.Finite tight frames play a fundamental role in a wide variety of areas and,generally,each application requires a specific class of frames and is closely related to quantum measurement.It is worth noting that a maximal set of complex equiangular vectors is closely related to a symmetric informationally complete measurement.Hence,our goal in this work is to propose a series of separability criteria assigned to a finite tight frame and some well-known inequalities in different quantum systems,respectively.In addition,some tighter criteria to detect entanglement for many-body quantum states are presented in arbitrary dimensions.Finally,the effectiveness of the proposed entanglement detection criteria is illustrated through some detailed examples.展开更多
为优化百合收获机果土分离机构的作业性能,降低百合埋果率和破碎率,以百合和种植土壤为研究对象,构建百合与土壤的离散元模型,并采用Hertz-Mindlin with JKR模型建立百合−土块环抱体的离散元模型。通过EDEM软件进行仿真模拟,结合田间试...为优化百合收获机果土分离机构的作业性能,降低百合埋果率和破碎率,以百合和种植土壤为研究对象,构建百合与土壤的离散元模型,并采用Hertz-Mindlin with JKR模型建立百合−土块环抱体的离散元模型。通过EDEM软件进行仿真模拟,结合田间试验,研究果土分离机构的前进速度、挖掘深度和抛送辊转速对百合埋果率和破碎率的影响,优化作业参数。结果表明,果土分离机构的最优参数取整后为果土分离机构前进速度0.6 m·s^(-1)、挖掘深度170 mm、抛送辊转速90 r·min^(-1),在最优参数组合条件下进行仿真试验,得到百合埋果率和破碎率分别为6.5%与7.4%;在最优参数组合条件下田间试验的百合埋果率、破碎率分别为6.3%和7.1%,与仿真结果相比,误差分别为6.71%和7.56%,表明所建立离散元模型的准确性较好。研究结果可为百合收获机果土分离机构的研制提供参考。展开更多
文摘Methods of quantum information processing often appear in terms of specially selected states.For example,mutually unbiased bases(MUBs)and symmetric informationally complete measurements are widely applied.Finite frames have found use in many areas including quantum information.Due to its specific inner structure,a single equiangular tight frame(ETF)allows one to formulate criteria to detect non-classical correlations.This study aims to approach entanglement detection with the use of mutually unbiased ETFs.Such frames are an interesting generalization of widely recognized MUBs.It still uses rank-one operators,but the number of outcomes can exceed the dimensionality.Several approaches are considered including separability criteria and entanglement witnesses.Separability criteria for multipartite systems are finally obtained.
基金supported by the Natural Science Foundation of Sichuan Province(Grant No.25QNJJ4066)。
文摘Improvement of the detection ability of quantum entanglement is one of the essential tasks in quantum computing and quantum information.Finite tight frames play a fundamental role in a wide variety of areas and,generally,each application requires a specific class of frames and is closely related to quantum measurement.It is worth noting that a maximal set of complex equiangular vectors is closely related to a symmetric informationally complete measurement.Hence,our goal in this work is to propose a series of separability criteria assigned to a finite tight frame and some well-known inequalities in different quantum systems,respectively.In addition,some tighter criteria to detect entanglement for many-body quantum states are presented in arbitrary dimensions.Finally,the effectiveness of the proposed entanglement detection criteria is illustrated through some detailed examples.
