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.

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.

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.

Dynamics of Tripartite Entanglement and Intramolecular Energy in Symmetric Trimer Molecule

The dynamics of tripartite entanglement and intramolecular energy for one harmonic- and two anharmonic-vibrational modes in a symmetric trimer molecule is studied for various initial states, where the entanglement is quantified in terms of concurrence and the interacting energy among three modes is calculated to establish a link between entanglement and energy. It is shown that the concurrence and the interacting energy behave dominantly positive correlation for the localized state in the anharmonic-vibrational mode, while they are domi- nantly anti-correlated for the localized state in the harmonic-vibrational mode. The relation between bipartite entunglement and the energy in a subsystem is diseussed as well. Those are useful for quantum computing and quantum information in high dimensional states prepared in polyatomic molecules.

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.

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.

ON THE CROSSING NUMBER OF THE COMPLETE TRIPARTITE GRAPH K_(1,8,n)

The well known Zarankiewicz' conjecture is said that the crossing number of the complete bipartite graph Km,n (m≤n) is Z(m,n). where Z(m,n) = [m/2] [(m-1)/2] [n/2] [(n-1)/2](for and real number x, [x] denotes the maximal integer no more than x). Presently, Zarankiewicz' conjecture is proved true only for the case m≤G. In this article, the authors prove that if Zarankiewicz' conjecture holds for m≤9, then the crossing number of the complete tripartite graph K1,8,n is Z(9, n) + 12[n/2].

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.

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.

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.

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.

Local Invariants for a Class of Tripartite Quantum Mixed States

We study the equivalence of tripartite mixed states under local unitary transformations. The nonlocal properties for a class of tripartite quantum states in C^K× CM ^M×C^N composite systems are investigated and a complete set of invariants under local unitary transformations for these states is presented. It is shown that two of these states are locally equivalent if and only if all these invariants have the same values.

Teleportation with Tripartite Entangled State via Thermal Cavity

Teleportation schemes with a tripartite entangled state in cavity QED are investigated. The schemes do not need Bell state measurements and the successful probabilities reach optimality. In addition, the schemes are insensitive to both the cavity decay and the thermal field. We first consider two teleportation schemes via a tripartite GHZ state. The first one is a controlled one for an unknown single-qubit state. The second scheme is teleportation of unknown two-atom entangled state. Then we consider teleporting of single-qubit arbitrary state via a tripartite W state.

Scheme for Preparation of a Peculiar Type of Tripartite Entangled State via Thermal Cavity

We propose a simple scheme for the generation of a peculiar tripartite entangled state via thermal cavity. The peculiar tripartite entangled state shares features of the GHZ and 14/ state simultaneously. The photon-numberdependent parts in the effective Hamiltonian are canceled with the assistance of a strong classical field, thus the scheme is insensitive to both the thermal field and the cavity decay. The only thing one needs to do is to modulate the interaction time only once.

Bipartite and Tripartite Entanglement in a Three-Qubit Heisenberg Model

The bipartite and tripartite entanglement in a three-qubit Heisenberg XY model with a nonuniform magnetic field is studied. There are two or four peaks in the concurrence of the bipartite entanglement when the amplitudes of the magnetic fields are. differently distributed between the three qubits. It is very interesting to note that there is no tangle of tripartite entanglement between the three qubits when the amplitudes of the magnetic fieMs are varied. However, the variation of the magnetic field direction can induce the tangle. The tangle is periodic about the angle between the magnetic field and the z axis of the spin.

Tripartite Nonlinear Entangled State Representations in Quantum Mechanics

Based on the technique of integral within an ordered product of nonlinear bosonic operators we construct a kind of tripartite nonlinear entangled states, which can make up a complete set. As its application, we also derive nonlinear 3-mode charge-related entangled state. The essential point for constructing these states lies in choosing the appropriate charge operator.

New Three-Mode Squeezing Operators Gained via Tripartite Entangled State Representation

We show that the Agarwal-Simon representation of single-mode squeezed states can be generalized to find new form of three-mode squeezed states. We use the tripartite entangled state representations ｜p, y, z） and ｜x, u, v） to realize this goal.