A
bstract
In this paper we study the recently proposed tensor networks/AdS correspondence. We found that the Coxeter group is a useful tool to describe tensor networks in a negatively curved space. ...Studying generic tensor network populated by perfect tensors, we find that the physical wave function generically do not admit any connected correlation functions of local operators. To remedy the problem, we assume that wavefunctions admitting such semi-classical gravitational interpretation are composed of tensors close to, but not exactly perfect tensors. Computing corrections to the connected two point correlation functions, we find that the leading contribution is given by structures related to geodesics connecting the operators inserted at the boundary physical dofs. Such considerations admit generalizations at least to three point functions. This is highly suggestive of the emergence of the analogues of Witten diagrams in the tensor network. The perturbations alone however do not give the right entanglement spectrum. Using the Coxeter construction, we also constructed the tensor network counterpart of the BTZ black hole, by orbifolding the discrete lattice on which the network resides. We found that the construction naturally reproduces some of the salient features of the BTZ black hole, such as the appearance of RT surfaces that could wrap the horizon, depending on the size of the entanglement region
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Against the backdrop of a global paper resource shortage, there is a growing need to identify fast-growing tree species capable of producing long-lasting paper. Three plant species namely
...Broussonetia kazinoki, Broussonetia papyrifera
and hybrid paper mulberry, belong to the
Broussonetia
genus, were collected from China to study their white bark suitability for pulp and papermaking. Their chemical composition revealed that the holocellulose content in
Broussonetia kazinoki
and
Broussonetia papyrifera
was more than 80%. The molecular weight distribution of several holocellulose/
α
-cellulose is observed by GPC, which allows us to better observe the changes of various components on the molecular weight. The yield, lignin, whiteness, and molecular weight of the pulps obtained by NaOH treatment were determined. Optical microscope was used to characterize the fiber length-width ratio and rigidity. Finally, the improvement of the fiber rigidity method based on the Kratky-Porod chain model makes it more theoretical and further reveals the influencing factors of fiber rigidity. This study demonstrates the high potentiality of these three species for papermaking applications.
In this paper, we would like to systematically explore the implications of non-perturbative effects on entanglement in a many body system. Instead of pursuing the usual path-integral method in a ...singular space, we attempt to study the wavefunctions in detail. We begin with a toy model of multiple particles whose interaction potential admits multiple minima. We study the entanglement of the true ground state after taking the tunneling effects into account and find some simple patterns. Notably, in the case of multiple particle interactions, entanglement entropy generically decreases with increasing number of minima. The knowledge of the subsystem actually increases with the number of minima. The reduced density matrix can also be seen to have close connections with graph spectra. In a more careful study of the two-well tunneling system, we also extract the exponentially-suppressed tail contribution, the analogue of instantons. To understand the effects of multiple minima in a field theory, we are inspired to inspect wavefunctions in a toy model of a bosonic field describing quasi-particles of two different condensates related by Bogoliubov transformations. We find that the area law is naturally preserved. This is probably a useful set of perspectives that promise wider applications.
Introduction. The etiology and pathogenesis of psoriasis are complex. Blood-heat syndrome is the core pathogenesis of psoriasis. Based on theories of Chinese medicine (CM), heat-clearing and ...blood-cooling (HCBC) are the primary treatment. Very few studies have investigated the pharmacological mechanism of the CM HCBC method for treating psoriasis. This multicenter randomized controlled trial will focus on treating psoriasis blood-heat syndrome with the HCBC method using Jueyin granules (JYKL). This will be an objective and standardized evaluation of the efficacy, safety, and reproducibility of the HCBC method to obtain objective evidence meeting international standards that aim to establish a clinical standard suitable for the popular application of CM for treating psoriasis. Methods and Analysis. A five-center randomized double-blind placebo-controlled clinical design will be used in this study. At least 196 participants will be randomly assigned to receive either JYKL or placebo treatment approximately 30 minutes after meals in the morning and evening (one sachet per time, twice daily for 8 consecutive weeks). The study duration will be 17 weeks, including 1 week of screening, 8 weeks of intervention, and 8 weeks of follow-up. The patients will be evaluated every 2 weeks, and the measures will be compared with baseline values. The primary outcome measure will be the psoriasis lesion area severity index. We will also observe the recurrence rate, body surface area, physician global assessment, dermatology life quality index, quality of life index, visual analogue scale score, CM symptom score, combined drug use, and adverse events. This trial is registered with NCT03961230.
With the more and more extensive use of the Liquefied Petroleum Gas (LPG) in recent years, safety issue resulted from using it becomes increasingly important as well. This essay targets at the ...feature of the LPG monitoring system, applies mathematic simulation software, verifies feasibility of weighted average data fusion algorithm, and comes to a real time sensor variation calculation method. Via application of the environmental data provided by multi-sensor at targeted experiment sites based on weighted average data fusion, data collected from the same type of sensor in the monitored area are fused and are shown on mobile terminal users on a real time basis, allowing a real time alarm pushing of a certain datum in the environment.
Data encryption is a practical approach to protect biomedical image information security. Towards the massive amount of data generated in the medical field, chaotic model cryptosystems, with high ...sensitivity to initial conditions and overall stability and randomness of the system, are inevitably becoming an appropriate platform for communication protection. This paper proposes a privacy-preserving Hybrid encryption scheme based on Chaos theory and ECC Algorithm (HCEA) for the secure delivery of medical data. Specifically, we employ the logistic map with randomness characteristics to protect published data privacy against the complex network environment and other non-subscribers. The proposed cryptosystem can essentially achieve the secrecy effect of a "one-time pad." To achieve double encryption of textual information and keys, we propose an improved image steganography technique with secondary scrambling encryption of carrier images by the MLNCML system, enhancing encryption efficiency and security. Different from existing standard LSB image encryption methods, the HCEA can encrypt initial parameters of logistic and MLNCML with the asymmetric encryption ECC algorithm while guaranteeing the security of key distribution in complex network environments. The security proof and performance evaluation show that the proposed HCEA scheme is secure in medical data transmission and effective in practice.
In this paper, we would like to systematically explore the implications of non-perturbative effects on entanglement in a many body system. Instead of pursuing the usual path-integral method in a ...singular space, we attempt to study the wavefunctions in detail. We begin with a toy model of multiple particles whose interaction potential admits multiple minima. We study the entanglement of the true ground state after taking the tunnelling effects into account and find some simple patterns. Notably, in the case of multiple particle interactions, entanglement entropy generically decreases with increasing number of minima. The knowledge of the subsystem actually increases with the number of minima. The reduced density matrix can also be seen to have close connections with graph spectra. In a more careful study of the two-well tunnelling system, we also extract the exponentially suppressed tail contribution, the analogues of instantons. To understand the effects of multiple minima in a field theory, it inspires us to inspect wavefunctions in a toy model of bosonic field describing quasi-particles of two different condensates related by Bogoliubov transformations. We find that the area law is naturally preserved. This is probably a useful set of perspectives that promise wider applications.
In this paper we study the recently proposed tensor networks/AdS correspondence. We found that the Coxeter group is a useful tool to describe tensor networks in a negatively curved space. Studying ...generic tensor network populated by perfect tensors, we find that the physical wave function generically do not admit any connected correlation functions of local operators. To remedy the problem, we assume that wavefunctions admitting such semi-classical gravitational interpretation are composed of tensors close to, but not exactly perfect tensors. Computing corrections to the connected two point correlation functions, we find that the leading contribution is given by structures related to geodesics connecting the operators inserted at the boundary physical dofs. Such considerations admit generalizations at least to three point functions. This is highly suggestive of the emergence of the analogues of Witten diagrams in the tensor network. The perturbations alone however do not give the right entanglement spectrum. Using the Coxeter construction, we also constructed the tensor network counterpart of the BTZ black hole, by orbifolding the discrete lattice on which the network resides. We found that the construction naturally reproduces some of the salient features of the BTZ black hole, such as the appearance of RT surfaces that could wrap the horizon, depending on the size of the entanglement region A.
In this note we explore the validity of the first law of entanglement entropy in the context of the topologically massive gravity (TMG). We found that the variation of the holographic entanglement ...entropy under perturbation from the pure AdS background satisfies the first law upon imposing the bulk equations of motion in a given time slice, despite the appearance of instabilities in the bulk for generic gravitationl Chern-Simons coupling \(\mu\). The black hole entropy is different from the holographic entanglement entropy in a general boosted frame. This discrepancy however do not affect the entanglement first law.
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