Geometric discord of tripartite quantum systems

We study the quantification of geometric discord for tripartite quantum systems.Firstly,we obtain the analytic formula of geometric discord for tripartite pure states.It is already known that the geometric discord of pure states reduces to the geometric entanglement in bipartite systems,the results presented here show that this property is no longer true in tripartite systems.Furthermore,we provide an operational meaning for tripartite geometric discord by linking it to quantum state discrimination,that is,we prove that the geometric discord of tripartite states is equal to the minimum error probability to discriminate a set of quantum states with von Neumann measurement.Lastly,we calculate the geometric discord of three-qubit Bell diagonal states and then investigate the dynamic behavior of tripartite geometric discord under local decoherence.It is interesting that the frozen phenomenon exists for geometric discord in this scenario.

Tripartite motif.containing 3(TRIM3)inhibits tumor growth and metastasis of liver cancer

Background:Reduced expression of tripartite motif-containing 3(TRIM3) has been reported to be involved in the pathogenesis of human glioblastoma.In our previous research,we found that TRIM3 expression was markedly reduced in human primary hepatocellular carcinoma(HCC) tissues and that low TRIM3 expression was associated with short survival of HCC patients.However,the role of TRIM3 in liver cancer remains unknown.This study aimed to investigate the function of TRIM3 in liver cancer cells.Methods:The protein levels of TRIM3 in five liver cancer cell lines(SK-Hep1,Hep3 B,Huh7,HepG2,Bel-7402) and one normal liver cell line(L02) were detected with Western blotting.HepG2 and Bel-7402 cells with low TRIM3 expression were infected with recombinant lentiviruses overexpressing TRIM3(LV-TRIM3),whereas Huh7 and Hep3 B cells with high TRIM3 expression were transfected with TRIM3-targeted small interfering RNA(siTRIM3).The functions of TRIM3 in the proliferation,colony formation,cell cycle,migration,invasion,and apoptosis of the above cell lines were examined.The effect ofTRIM3 on tumor growth and metastases in nude mice was also investigated.Results:TRIM3 was overexpressed in HepG2 and Bel-7402 cells with LV-TRIM3 infection,which further reduced proliferation,colony formation,migration,and invasion of both cell lines.Cell cycle analysis showed that TRIM3 overexpression induced G_0/G_1 phase arrest in HepG2 and Bel-7402 cells.Moreover,apoptosis was not increased in HepG2 or Bel-7402 cells overexpressing TRIM3.Contrarily,silencing TRIM3 expression in Huh7 and Hep3 B cells by siTRIM3 led to significantly decreased percentages of both cells in the G_0/G_1 phase and promoted cell proliferation,colony formation,migration,and invasion.In vivo experiment results confirmed that TRIM3 overexpression suppressed tumor growth and metastasis.Conclusions:TRIM3 plays a tumor-suppressing role in the regulation of liver cancer development by reducing cell proliferation through cell cycle arrest at the G_0/G_1 phase.

Tripartite intensive intervention for prevention of rebleeding in elderly patients with hypertensive cerebral hemorrhage

BACKGROUND Hypertensive cerebral hemorrhage(HICH)is the rupture and bleeding of vessels of the cerebral parenchyma caused by continuously elevated or violently fluctuating blood pressure.The condition is characterized by high disability and high mortality.Hematoma formation and resulting space-occupying effects following intracerebral hemorrhage are among the key causes of impaired neurological function and disability.Consequently,minimally invasive clearance of the hematoma is undertaken for the treatment of HICH because it can effectively relieve intracranial hypertension.Therefore,special attention should be given to the quality of medical and nursing interventions in the convalescent period after minimally invasive hematoma clearance.AIM The study aim was to determine the value of intensive intervention,including doctors,nurses,and patient families,for the prevention of rebleeding in elderly patients with HICH during the first hospitalization for rehabilitation after the ictal event METHODS A total of 150 elderly HICH patients with minimally invasive hematoma evacuation in our hospital between May 2018 and May 2020 were selected and equally divided into two groups of 75 each by their planned intervention.The control group was given conventional nursing intervention and the observation group was given tripartite intensive intervention.The length of hospital stay,cost,complication rate,satisfaction rate,and rebleeding rate during hospitalization were recorded.Changes in cerebral blood flow indicators were recorded in both groups.Changes in the National Institutes of Health Stroke Scale(NIHSS)score,quality of life index(QLI)score,and health behavior score were evaluated at the National Institutes of Health.RESULTS Duration of hospitalization was shorter in the in the observation group than in the control group,the hospitalization cost was less than in the control group,and the rate of rebleeding during hospitalization was lower than in the control group(all P<0.05).There were no significant differences between the two groups before treatment(all P>0.05).The mean flow rate(Qmean)and mean velocity(Vmean)of the two groups increased(P<0.05),and the dynamic resistance and peripheral resistance decreased(P<0.05).The Qmean and Vmean in the intervention group were higher than those in the control group(P<0.05).Moreover,the dynamic resistance and peripheral resistance of the blood vessels were also lower in the intervention group than in the control group(P<0.05).The difference in health behavior scores between the two groups before treatment was not significant(P>0.05).In both groups,the scores for healthy behaviors such as emotion control,medication adherence,dietary management,exercise management,and selfmonitoring were higher after than before treatment(P<0.05),and the scores of healthy behaviors in the intervention group were higher than those in the control group(P<0.05).There was no significant difference in the NIHSS and QLI scores between the two groups before treatment(P>0.05).The QLI scores of the two groups increased(P<0.05),and the NIHSS scores decreased(P<0.05).The QLI scores of the intervention group were higher than those of the control group(P<0.05),and the NIHSS score was correspondingly lower than that of the control group(P<0.05).The incidence of respiratory infections,pressure sores,central hyperpyrexia,and deep venous thrombosis was lower in the intervention group than in the control group.Accordingly,the satisfaction rate was higher in the treatment group than that in the control group(P<0.05).CONCLUSION Intensive intervention by doctors,nurses,and families of elderly patients with HICH reduced the rate of rebleeding during hospitalization.It also reduced the incidence of complications,promoted rehabilitation,improved the quality of life,and enhanced nerve function.Additionally,it improved satisfaction and promoted healthy behaviors.

Probabilistic and controlled teleportation of tripartite state in a general form and its quantum networks

We discuss a scheme for probabilistic and controlled teleportation of an unknown arbitrary three-particle state by constructing a peculiar non-maximally entangled state as a controlled quantum channel, which is teleported between two sides with the help of the auxiliary particle and the cooperation of the third side （Charlie） as a supervisor. In comparison with some existing schemes, on the receiver＇s side it is easy to have the sender＇s state through operating two uniform unitary transformations in turn. In addition, we also give an efficient quantum network for implementing the new scheme by means of some primitive operations.

Quantum dense coding using a peculiar tripartite entangled state

Following a recent proposal （Phys. Left. A 346 （2005） 330） about quantum dense coding using a tripartite entangled GHZ state and W state, this paper proposes an experimentally feasible scheme for dense coding in cavity QED by using another peculiar tripartite entangled state. In the scheme the atoms interact simultaneously with a highly detuned cavity mode with the assistance of a classical field, the successful probability of dense coding scheme with this peculiar tripartite entangled state equals 1.

Two mutually conjugated tripartite entangled states and their fractional Fourier transformation kernel

We newly construct two mutually-conjugate tripartite entangled state representations, based on which we propose the formulation of three-mode entangled fractional Fourier transformation （EFFT） and derive the transformation kernel. The EFFT＇s additivity property is proved and the eigenmode of EFFT is derived. As an application, we calculate the EFFT of the three-mode squeezed vacuum state.

Astrocyte-Synapse Receptor Coupling in Tripartite Synapses: A Mechanism for Self-Observing Robots

A model of an intentional self-observing system is proposed based on the structure and functions of astrocyte-synapse interactions in tripartite synapses. Astrocyte-synapse interactions are cyclically organized and operate via feedforward and feedback mechanisms, formally described by proemial counting. Synaptic, extrasynaptic and astrocyte receptors are interpreted as places with the same or different quality of information processing described by the combinatorics of tritograms. It is hypothesized that receptors on the astrocytic membrane may embody intentional programs that select corresponding synaptic and extrasynaptic receptors for the formation of receptor-receptor complexes. Basically, the act of self-observation is generated if the actual environmental information is appropriate to the intended observation processed by receptor-receptor complexes. This mechanism is implemented for a robot brain enabling the robot to experience environmental information as “its own”. It is suggested that this mechanism enables the robot to generate matches and mismatches between intended observations and the observations in the environment, based on the cyclic organization of the mechanism. In exploring an unknown environment the robot may stepwise construct an observation space, stored in memory, commanded and controlled by the intentional self-observing system. Finally, the role of self-observation in machine consciousness is shortly discussed.

Robustness of Genuine Tripartite Entanglement under Collective Dephasing

We study the robustness of genuine multipartite entanglement for a system of three qubits under collective dephasing. Using a computable entanglement monotone for multipartite systems, we find that almost every state is quite robust under this type of decoherence. We analyze random states and weighted graph states at infinity and find all of them to be genuinely entangled.

Controlled moderative sulfidation-fabricated hierarchical heterogeneous nickel sulfides-based electrocatalyst with tripartite Mo doping for efficient oxygen evolution

An electrocatalyst with heterogeneous nanostructure, especially the hierarchical one, generally shows a more competitive activity than that of its single-component counterparts for oxygen evolution reaction(OER), due to the synergistically enhanced kinetics on enriched active sites and reconfigured electronic band structure. Here this work introduces hierarchical heterostructures into a NiMo@NiS/MoS_(2)@Ni_(2)S_(2)/MoO_(x)(NiMoS) composite by one-pot controlled moderative sulfidation. The optimal solvent composition and addition of NaOH enable NiMoS to own loose and porous structures, smaller nanoparticle sizes, optimal phase composition and chemical states of elements, improving the OER activity of NiMoS. To achieve current densities of 50 and 100 mA cm^(-1), small overpotentials of 275 and 306 mV are required respectively, together with a minor Tafel slope of 58 mV dec^(-1), which outperforms most reported sulfide catalysts and IrO_(2). The synergistic effects in the hierarchical heterostructures expose more active sites,adjust the electronic band structure, and enable the fast charge transfer kinetics, which construct an optimized local coordination environment for high OER electrocatalytic activity. Furthermore, the hierarchical heterostructures suppress the distinct lowering of electrical conductivity and collapse of pristine structures resulted from the metal oxidation and synchronous S leaching during OER, yielding competitive catalytic stability.

Scheme for sharing classical information via tripartite entangled states

We investigate schemes for quantum secret sharing and quantum dense coding via tripartite entangled states. We present a scheme for sharing classical information via entanglement swapping using two tripartite entangled GHZ states. In order to throw light upon the security affairs of the quantum dense coding protocol, we also suggest a secure quantum dense coding scheme via W state by analogy with the theory of sharing information among involved users.

Quantum frequency doubling based on tripartite entanglement with cavities

We analyze the entanglement characteristics of three harmonic modes, which are the output fields from three cav- ities with an input tripartite entangled state at fundamental frequency. The entanglement properties of the input beams can be maintained after their frequencies have been up-converted by the process of second harmonic generation. We have calculated the parametric dependences of the correlation spectrum on the initial squeezing factor, the pump power, the trans- naission coefficient, and the normalized analysis frequency of cavity. The numerical results provide references to choose proper experimental parameters for designing the experiment. The frequency conversion of the multipartite entangled state can also be applied to a quantum communication network.

Genuine tripartite entanglement and quantum phase transition

A new simplified formula is presented to characterize genuine tripartite entanglement of （2 2 n）-dimensional quantum pure states. The formula turns out equivalent to that given in （Quant. Inf. Comp. 7（7） 584 （2007））, hence it also shows that the genuine tripartite entanglement can be described only on the basis of the local （2 2）-dimensional reduced density matrix. In particular, the two exactly solvable models of spin system studied by Yang （Phys. Rev. A 71 030302（R） （2005）） are reconsidered by employing the formula. The results show that a discontinuity in the first derivative of the formula or in the formula itself of the ground state just corresponds to the existence of quantum phase transition, which is obviously different from the concurrence.

Study of Jack’s Barbarization in Lord of the Flies with Freud’s Tripartite Model of Human Psyche

Lord of the Flies is the masterpiece of British writer William Golding who won the Nobel Prize for Literature. Thiswork takes children as the protagonists and shows the theme of the barbarism of human nature. Based on Freud’sTripartite Model of Human Psyche, this study analyzes the personality characteristics of Jack in psychologicalperspective, reveals the different states reflected in the realm of in id, ego and superego, and thus stresses therestraining effect of social rules and civilization on the barbarism of human nature.

Renormalization of Tripartite Entanglement in Spin Systems with Dzyaloshinskii–Moriya Interaction

Quantum entanglement represents a fundamental feature of quantum many-body systems. We combine tripartite entanglement with quantum renormalization group theory to study the quantum critical phenomena. The Ising model and the Heisenberg X X Z model in the presence of the Dzyaloshinskii–Moriya interaction are adopted as the research objects. We identify that the tripartite entanglement can signal the critical point. The derivative of tripartite entanglement shows singularity as the spin chain size increases. Furthermore, the intuitive scaling behavior of the system selected is studied and the result allows us to precisely quantify the correlation exponent by utilizing the power law.

Tripartite Entanglement and Lorentz Transformation

Entanglement of tripartite spin states under Lorentz transformations is studied in the context of Bell’s inequality and positive partial transpose criterion. First the relativistic analogue of Bell’s inequality is discussed for three qubit states by explicit calculation of the Wigner rotation. We use the relativistic invariant spin operator which is related to the Pauli-Lubanski pseudo vector. For observers at rest the Bell’s inequality is speed-independent and maximally violated. For moving observers it’s shown that Bell’s inequality is violated and the amount of violation depends on the boost speed. We show that in ultrarelativistic limit Bell’s inequality is still maximally violated. We also obtained the critical value for satisfying Bell’s inequality. The critical value of boost speed for violation of inequality for particles moving in the center of mass frame is greater than that for particles moving with the same momentum. Second we investigate the entanglement distillability of tripartite mixed spin states under Lorentz transformations in the context of Werner states. We show that there are states that will change from distillable (entangled) into separable for a certain value of rapidity.

Tripartite Investment Alliance

WITH an average economic growth exceeding 5 percent per year for more than a decade and a growing population that will provide about a billion new consum- ers by 2050, Africa is seen as a source of opportunities by many investors and companies worldwide. Intra-African investments are increasing, led by South African. Kenyan and Nigerian transnational corporations. However. most of the African projects are still financed by non-African countries and financial institutions for develop- ment.

Central environmental protection inspection and carbon emission reduction: A tripartite evolutionary game model from the perspective of carbon neutrality

Since the carbon neutrality target was proposed,many countries have been facing severe challenges to carbon emission reduction sustainably.This study is conducted using a tripartite evolutionary game model to explore the impact of the central environmental protection inspection(CEPI)on driving carbon emission reduction,and to study what factors influence the strategic choices of each party and how they interact with each other.The research results suggest that local governments and manufacturing enterprises would choose strategies that are beneficial to carbon reduction when CEPI increases.When the initial willingness of all parties increases 20%,50%—80%,the time spent for the whole system to achieve stability decreases from 100%,60%—30%.The evolutionary result of“thorough inspection,regulation implementation,low-carbon management”is the best strategy for the tripartite evolutionary game.Moreover,the smaller the cost and the larger the benefit,the greater the likelihood of the three-party game stability strategy appears.This study has important guiding significance for other developing countries to promote carbon emission reduction by environmental policy.

Evolutionary Game Analysis of the Production Decisions of Automakers in the Chinese Automobile Industry:A Tripartite Model of Government,Automakers,and Consumers

Based on the evolutionary game approach,this paper analyzes how the automaker makes rational production decisions under the influence of the government and consumers.A tripartite evolutionary game model of“government-automaker-consumer”is established to explore the interactions under the condition of bounded rationality.The study shows that:1)The increase of credit price and credit ratio will promote the diffusion of new energy vehicles(NEVs).2)The cost premium of NEVs and the shrinking market will slow the spread of NEVs to some extent but will not prevent NEVs from becoming a trend in the automobile industry.However,the cost premium of fuel vehicles(FVs)will accelerate the development of the NEV industry.3)Government subsidies can promote the development of NEV industry to some extent,but they are not always effective.The government can simultaneously implement subsidies for automakers and consumers in the early stages,and choose to implement the subsidy only for consumers in the medium term.Additionally,there is no need to implement the subsidy policy at a later stage.

The Awkward Sharing Economy:Its Status Quo and Prospect

This paper comprehensively analyzes the origins,current situation,and prospects of the sharing economy.The primary purpose is to present the issues and challenges confronting the sharing economy at its current,awkward stage of development and to make reasonable speculations about its future.The research is based on academic literature on the sharing economy from both domestic and international sources.The findings indicate that despite current shortcomings in the regulatory system,industry structure,and user behavior,the scope of the sharing economy’s applications could still expand,and its technology could continue to advance.Overall,the prospects for the sharing economy are likely to be promising.

The Coordination Mechanism of Supply Chain Finance Based on Tripartite Game Theory

Supply chain finance(SCF) is concerned because of its service efficiency for the real economy. Beside the bank, some enterprises have provided the SCF service. E-commerce platform firms develop small and micro loan system in China. A given small enterprise can apply for a loan through its platform. Based on the latest SCF developments and the relevant literature, this study focuses on the coordination mechanism of SCF. We construct a game theory model including supplier, retailer and financial service provider to analyze the decision making of them. We find the optimal solution to the supplier, retailer and financial service provider.