针对优势关系粗糙集(Dominance-based Rough Set Approach, DRSA)理论经典模型中,下近似过于严苛和不一致对象对模型的影响问题,提出一种基于纠缠关系的DRSA模型。利用纠缠关系将属性相似、功能近似的对象进行整合,构建复杂的对象实体,...针对优势关系粗糙集(Dominance-based Rough Set Approach, DRSA)理论经典模型中,下近似过于严苛和不一致对象对模型的影响问题,提出一种基于纠缠关系的DRSA模型。利用纠缠关系将属性相似、功能近似的对象进行整合,构建复杂的对象实体,其特点是充分考虑了不能进入优势集和劣势集元素对当前样本的影响,同时建立纠缠域区分不同元素对求解下近似的影响,将仅在统计上对求解产生影响但实际联系不紧密的元素排除,从而达到去除该部分包含的不一致对象的目的。展开更多
In this paper we set up quantum mechanical correspondence of the Poisson integral formula.We show that Poisson kernel function existing in the transformation between the continuum entangled state representation and it...In this paper we set up quantum mechanical correspondence of the Poisson integral formula.We show that Poisson kernel function existing in the transformation between the continuum entangled state representation and its induced state,i.e.the number-difference-correlated amplitude entangled state representation.展开更多
Based on the input-output relation of the cavity and the Faraday Rotation mechanism, we propose a scheme for generating the n-atom Greenberger Horne-Zeilinger state. In the scheme, the n-atom trapped respectively in n...Based on the input-output relation of the cavity and the Faraday Rotation mechanism, we propose a scheme for generating the n-atom Greenberger Horne-Zeilinger state. In the scheme, the n-atom trapped respectively in n spatially separate cavities would be entangled with the photons going through the atom-cavity system. The successful probabilities of our protocol approach unity in the ideal case. What is more, no requirement for separately addressing further lowers experimental difficulties.展开更多
By using the density matrix renormalization group technique, the phase diagram of the half-tilting extended Hubbard model is investigated. The conventional order parameter, the two-site entanglement entropy, and the b...By using the density matrix renormalization group technique, the phase diagram of the half-tilting extended Hubbard model is investigated. The conventional order parameter, the two-site entanglement entropy, and the block- block entanglement entropy are analyzed in detail. According to the numerical results, in the weak coupling region, an intermediate bond-order-wave (BOW) phase is shown to exist indeed between the charge-density-wave (CDW) and the spin-density-wave (SDW) phases. The critical phase transition points are determined by the singularity of the first order derivative of two-site entanglement entropy. In strong coupling region, a direct phase transition occurs from SDW phase to CDW phase, and shows discontinuous (first order) character accompanied with energy level crossing. The numerical results support the phase diagram proposed previously by some authors Sengupta et al., (2002); Sandvik et al., (2004); Zhang, (2004). Therefore, the quantum entanglement is a sensitive tool to describe quantum phase transitions in strongly correlated electron systems.展开更多
The uncertainty principle is a crucial aspect of quantum mechanics.It has been shown that quantum entanglement as well as more general notions of correlations,such as quantum discord,can relax or tighten the entropic ...The uncertainty principle is a crucial aspect of quantum mechanics.It has been shown that quantum entanglement as well as more general notions of correlations,such as quantum discord,can relax or tighten the entropic uncertainty relation in the presence of an ancillary system.We explored the behaviour of entropic uncertainty relations for system of two qubits—one of which subjects to several forms of independent quantum noise,in both Markovian and non-Markovian regimes.The uncertainties and their lower bounds,identified by the entropic uncertainty relations,increase under independent local unital Markovian noisy channels,but they may decrease under non-unital channels.The behaviour of the uncertainties(and lower bounds)exhibit periodical oscillations due to correlation dynamics under independent non-Markovian reservoirs.In addition,we compare different entropic uncertainty relations in several special cases and find that discord-tightened entropic uncertainty relations offer in general a better estimate of the uncertainties in play.展开更多
It is known that the inevitable interaction of the entangled qubits with their environments may result in the degradation of quantum correlation.We study the decoherence of two remote qubits under general local single...It is known that the inevitable interaction of the entangled qubits with their environments may result in the degradation of quantum correlation.We study the decoherence of two remote qubits under general local single-and two-sided amplitude-damping channel(ADC).By using concurrence,quantum discord and Clauser-Horne-ShimonyHolt(CHSH)inequality,we find that the relation between the residual quantum correlations and the initial ones are different.Recently,Wang et al.[Int.J.Theor.Phys.54(2015)5]showed that there exist a set of partially entangled states that are more robust than maximally entangled states in terms of the residual quantum correlation measured by concurrence,fully entangled fraction and quantum discord,respectively.Here we find that both in single-and two-sided ADC,only the evolution of CHSH inequality with the initial parameter is proportional to that of the initial nonlocality.That means the initial state with maximally nonlocality will retain its role in the evolution.It implies that the evolution of nonlocality may reveal the characteristics of quantum state better.Furthermore,we discuss the evolutions of the three different quantum measurements with the initial parameter under generalized amplitude damping channel(GADC)and find that they are all proportional to that of the initial state.展开更多
A new uncertainty relation(UR) is obtained for a system of N identical pure entangled particles if we use symmetrized observables when deriving the inequality. This new expression can be written in a form where we ide...A new uncertainty relation(UR) is obtained for a system of N identical pure entangled particles if we use symmetrized observables when deriving the inequality. This new expression can be written in a form where we identify a term which explicitly shows the quantum correlations among the particles that constitute the system. For the particular cases of two and three particles, making use of the Schwarz inequality, we obtain new lower bounds for the UR that are different from the standard one.展开更多
文摘针对优势关系粗糙集(Dominance-based Rough Set Approach, DRSA)理论经典模型中,下近似过于严苛和不一致对象对模型的影响问题,提出一种基于纠缠关系的DRSA模型。利用纠缠关系将属性相似、功能近似的对象进行整合,构建复杂的对象实体,其特点是充分考虑了不能进入优势集和劣势集元素对当前样本的影响,同时建立纠缠域区分不同元素对求解下近似的影响,将仅在统计上对求解产生影响但实际联系不紧密的元素排除,从而达到去除该部分包含的不一致对象的目的。
基金Supported by the National Natural Science Foundation of China under Grant No.10874174 the Specialized Reserach Fund for The Doctoral Progress of Higher Education of China under Grant No.20070358009
文摘In this paper we set up quantum mechanical correspondence of the Poisson integral formula.We show that Poisson kernel function existing in the transformation between the continuum entangled state representation and its induced state,i.e.the number-difference-correlated amplitude entangled state representation.
基金Supported by Natural Science Foundation of Fujian Province of China under Grant Nos. 2007J0197 and 2007J0002Funds of Education Committee of Fujian Province under Grant No. JB05336
文摘Based on the input-output relation of the cavity and the Faraday Rotation mechanism, we propose a scheme for generating the n-atom Greenberger Horne-Zeilinger state. In the scheme, the n-atom trapped respectively in n spatially separate cavities would be entangled with the photons going through the atom-cavity system. The successful probabilities of our protocol approach unity in the ideal case. What is more, no requirement for separately addressing further lowers experimental difficulties.
基金Supported by the National Natural Science Foundation of China under Grant No.11047160the National Basic Research Program of China under Grant No.2009CB939901the Foundation of Tianjin Polytechnic University under Grant No.029289
文摘By using the density matrix renormalization group technique, the phase diagram of the half-tilting extended Hubbard model is investigated. The conventional order parameter, the two-site entanglement entropy, and the block- block entanglement entropy are analyzed in detail. According to the numerical results, in the weak coupling region, an intermediate bond-order-wave (BOW) phase is shown to exist indeed between the charge-density-wave (CDW) and the spin-density-wave (SDW) phases. The critical phase transition points are determined by the singularity of the first order derivative of two-site entanglement entropy. In strong coupling region, a direct phase transition occurs from SDW phase to CDW phase, and shows discontinuous (first order) character accompanied with energy level crossing. The numerical results support the phase diagram proposed previously by some authors Sengupta et al., (2002); Sandvik et al., (2004); Zhang, (2004). Therefore, the quantum entanglement is a sensitive tool to describe quantum phase transitions in strongly correlated electron systems.
基金supported by the National Natural Science Foundation of China(Grant Nos.61144006,11201427 and 10901103)the Foundation of China Scholarship Council,the Project Fund of Hunan Provincial Scienceand Technology Department(Grant No.2010FJ3147)the Fund of Hunan Provincial Key Laboratory of Photoelectric Information Integration and Optical Manufacturing Technology,the Educational Committee of the Hunan Province of China through the Overseas Famous Teachers Programme
文摘The uncertainty principle is a crucial aspect of quantum mechanics.It has been shown that quantum entanglement as well as more general notions of correlations,such as quantum discord,can relax or tighten the entropic uncertainty relation in the presence of an ancillary system.We explored the behaviour of entropic uncertainty relations for system of two qubits—one of which subjects to several forms of independent quantum noise,in both Markovian and non-Markovian regimes.The uncertainties and their lower bounds,identified by the entropic uncertainty relations,increase under independent local unital Markovian noisy channels,but they may decrease under non-unital channels.The behaviour of the uncertainties(and lower bounds)exhibit periodical oscillations due to correlation dynamics under independent non-Markovian reservoirs.In addition,we compare different entropic uncertainty relations in several special cases and find that discord-tightened entropic uncertainty relations offer in general a better estimate of the uncertainties in play.
基金Supported by National Natural Science Foundation of China under Grant Nos.11204002,11274010,61073048,11005029the Specialized Research Fund for the Doctoral Program of Higher Education(20123401120003,20113401110002)+2 种基金the Key Project of Chinese Ministry of Education(Nos.211080,210092)the Key Program of the Education Department of Anhui Province under Grant No.KJ2012A020the"211"Project of Anhui University,the Talent Foundation of Anhui University,the personnel department of Anhui province
文摘It is known that the inevitable interaction of the entangled qubits with their environments may result in the degradation of quantum correlation.We study the decoherence of two remote qubits under general local single-and two-sided amplitude-damping channel(ADC).By using concurrence,quantum discord and Clauser-Horne-ShimonyHolt(CHSH)inequality,we find that the relation between the residual quantum correlations and the initial ones are different.Recently,Wang et al.[Int.J.Theor.Phys.54(2015)5]showed that there exist a set of partially entangled states that are more robust than maximally entangled states in terms of the residual quantum correlation measured by concurrence,fully entangled fraction and quantum discord,respectively.Here we find that both in single-and two-sided ADC,only the evolution of CHSH inequality with the initial parameter is proportional to that of the initial nonlocality.That means the initial state with maximally nonlocality will retain its role in the evolution.It implies that the evolution of nonlocality may reveal the characteristics of quantum state better.Furthermore,we discuss the evolutions of the three different quantum measurements with the initial parameter under generalized amplitude damping channel(GADC)and find that they are all proportional to that of the initial state.
基金supported by Fundacao de Amparo à Pesquisa do Estado de Sao Paulo(FAPESP)
文摘A new uncertainty relation(UR) is obtained for a system of N identical pure entangled particles if we use symmetrized observables when deriving the inequality. This new expression can be written in a form where we identify a term which explicitly shows the quantum correlations among the particles that constitute the system. For the particular cases of two and three particles, making use of the Schwarz inequality, we obtain new lower bounds for the UR that are different from the standard one.