Toward Heisenberg scaling in non-Hermitian metrology at the quantum regime.

Non-Hermitian quantum metrology, an emerging field at the intersection of quantum estimation and non-Hermitian physics, holds promise for revolutionizing precision measurement. Here, we present a comprehensive investigation of non-Hermitian quantum parameter estimation in the quantum regime, with a special focus on achieving Heisenberg scaling. We introduce a concise expression for the quantum Fisher information (QFI) that applies to general non-Hermitian Hamiltonians, enabling the analysis of estimation precision in these systems. Our findings unveil the remarkable potential of non-Hermitian systems to attain the Heisenberg scaling of 1/t, where t represents time. Moreover, we derive optimal measurement conditions based on the proposed QFI expression, demonstrating the attainment of the quantum Cramér-Rao bound. By constructing non-unitary evolutions governed by two non-Hermitian Hamiltonians, one with parity-time symmetry and the other without specific symmetries, we experimentally validate our theoretical analysis. The experimental results affirm the realization of Heisenberg scaling in estimation precision, marking a substantial milestone in non-Hermitian quantum metrology.

Experimental Demonstration of Input-Output Indefiniteness in a Single Quantum Device.

Quantum theory allows information to flow through a single device in a coherent superposition of two opposite directions, resulting into situations where the input-output direction is indefinite. Here we introduce a theoretical method to witness input-output indefiniteness in a single quantum device, and we experimentally demonstrate it by constructing a photonic setup that exhibits input-output indefiniteness with a statistical significance exceeding 69 standard deviations. Our results provide a way to characterize input-output indefiniteness as a resource for quantum information and photonic quantum technologies and enable tabletop simulations of hypothetical scenarios exhibiting quantum indefiniteness in the direction of time.

Metabolic adaptations of Microbacterium sediminis YLB-01 in deep-sea high-pressure environments.

The deep-sea environment is an extremely difficult habitat for microorganisms to survive in due to its intense hydrostatic pressure. However, the mechanisms by which these organisms adapt to such extreme conditions remain poorly understood. In this study, we investigated the metabolic adaptations of Microbacterium sediminis YLB-01, a cold and stress-tolerant microorganism isolated from deep-sea sediments, in response to high-pressure conditions. YLB-01 cells were cultured at normal atmospheric pressure and 28 ℃ until they reached the stationary growth phase. Subsequently, the cells were exposed to either normal pressure or high pressure (30 MPa) at 4 ℃ for 7 days. Using NMR-based metabolomic and proteomic analyses of YLB-01 cells exposed to high-pressure conditions, we observed significant metabolic changes in several metabolic pathways, including amino acid, carbohydrate, and lipid metabolism. In particular, the high-pressure treatment stimulates cell division and triggers the accumulation of UDP-glucose, a critical factor in cell wall formation. This finding highlights the adaptive strategies used by YLB-01 cells to survive in the challenging high-pressure environments of the deep sea. Specifically, we discovered that YLB-01 cells regulate amino acid metabolism, promote carbohydrate metabolism, enhance cell wall synthesis, and improve cell membrane fluidity in response to high pressure. These adaptive mechanisms play essential roles in supporting the survival and growth of YLB-01 in high-pressure conditions. Our study offers valuable insights into the molecular mechanisms underlying the metabolic adaptation of deep-sea microorganisms to high-pressure environments. KEY POINTS: • NMR-based metabolomic and proteomic analyses were conducted on Microbacterium sediminis YLB-01 to investigate the significant alterations in several metabolic pathways in response to high-pressure treatment. • YLB-01 cells used adaptive strategies (such as regulated amino acid metabolism, promoted carbohydrate metabolism, enhanced cell wall synthesis, and improved cell membrane fluidity) to survive in the challenging high-pressure environment of the deep sea. • High-pressure treatment stimulated cell division and triggered the accumulation of UDP-glucose, a critical factor in cell wall formation, in Microbacterium sediminis YLB-01 cells.

Preparation of multiphoton high-dimensional GHZ states.

The physics associated with multipartite high-dimensional entanglement is different from that of multipartite two-dimensional entanglement. Therefore, preparing multipartite high-dimensional entanglements with linear optics is challenging. This study proposes a preparation protocol of multiphoton GHZ state with arbitrary dimensions for optical systems. Auxiliary entanglements realize a high-dimensional entanglement gate to connect the high-dimensional entangled pairs to a multipartite high-dimensional GHZ state. Specifically, we use the path degrees of freedom of photons to prepare a four-partite, three-dimensional GHZ state. Our method can be extended to other degrees of freedom to generate arbitrary GHZ entanglements in any dimension.

Periodically reversing electrocoagulation technique for efficient removal of short-chain perfluoroalkyl substances from contaminated groundwater around a fluorochemical facility.

Widespread distributions of short-chain perfluoroalkyl substances (PFASs) has been recognized as a crucial environmental issue. However, multiple treatment techniques were ineffective due to their high polarity and mobility, contributing to a never-ending existence in the aquatic environment ubiquitously. The present study revealed potential technique of periodically reversing electrocoagulation (PREC) to perform efficient removal of short-chain PFASs including experimental factors (in the conditions of 9 V for voltage, 600 r/min of stirring speed, 10 s of reversing period, and 2 g/L of NaCl electrolyte), orthogonal experiments, actual application, and removal mechanism. Accordingly, based upon the orthogonal experiments, the removal efficiencies of perfluorobutane sulfonate (PFBS) in simulated solution could achieve 81.0% with the optimal parameters of Fe-Fe electrode materials, addition of 665 µL H2O2 per 10 min, and pH at 3.0. The PREC was further applied for treating the actual groundwater around a fluorochemical facility, consequently the removal efficiencies for typical short-chain perfluorobutanoic acid (PFBA), perfluoropentanoic acid (PFPeA), perfluorohexanoic acid (PFHxA), PFBS, and perfluoropentane sulfonate (PFPeS) were 62.5%, 89.0%, 96.4%, 90.0%, and 97.5%, respectively. The other long-chain PFASs contaminants had superior removal with the removal efficiencies up to 97%-100%. In addition, a comprehensive removal mechanism related to electric attraction adsorption for short-chain PFASs could be verified through the morphological analysis of ultimate flocs composition. The oxidation degradation was further revealed as the other removal mechanism by suspect and nontarget screening of intermediates formed in simulated solution, as well as density functional theory (DFT) calculation theory. Moreover, the degradation pathways about one CF2O molecule or CO2 eliminated with one C atom removed in PFBS by ·OH generated from the PREC oxidation process were further proposed. As a result, the PREC would be a promising technique for the efficient removal of short-chain PFASs from severely contaminated water bodies.

Edge-Cloud Co-Evolutionary Algorithms for Distributed Data-Driven Optimization Problems.

Surrogate-assisted evolutionary algorithms (EAs) have been proposed in recent years to solve data-driven optimization problems. Most existing surrogate-assisted EAs are for centralized optimization and do not take into account the challenges brought by the distribution of data at the edge of networks in the era of the Internet of Things. To this end, we propose edge-cloud co-EAs (ECCoEAs) to solve distributed data-driven optimization problems, where data are collected by edge servers. Specifically, we first propose a distributed framework of ECCoEAs, which consists of a communication mechanism, edge model management, and cloud model management. This communication mechanism is to avoid deadlock during the collaboration of edge servers and the cloud server. In edge model management, the edge models are trained based on local historical data and data composed of new solutions generated by co-evolutionary and their real evaluation values. In cloud model management, the black-box prediction functions received from edge models are used to find promising solutions to guide the edge model management. Moreover, two ECCoEAs are implemented, which proves the generality of the framework. To verify the performance of algorithms for distributed data-driven optimization problems, we design a novel benchmark test suite. The performance on the benchmarks and practical distributed clustering problems shows the effectiveness of ECCoEAs.

Experimental one-step deterministic polarization entanglement purification.

Entanglement purification is to distill high-quality entangled states from low-quality entangled states. It is a key step in quantum repeaters, determines the efficiency and communication rates of quantum communication protocols, and is hence of central importance in long-distance communications and quantum networks. In this work, we report the first experimental demonstration of deterministic entanglement purification using polarization and spatial mode hyperentanglement. After purification, the fidelity of polarization entanglement arises from 0.268±0.002 to 0.989±0.001. Assisted with robust spatial mode entanglement, the total purification efficiency can be estimated as 109 times that of the entanglement purification protocols using two copies of entangled states when one uses the spontaneous parametric down-conversion sources. Our work may have the potential to be implemented as a part of full repeater protocols.

High-Dimensional Bell Test without Detection Loophole.

Violation of Bell's inequalities shows strong conflict between quantum mechanics and local realism. Loophole-free Bell tests not only deepen understanding of quantum mechanics, but are also important foundations for device-independent (DI) tasks in quantum information. High-dimensional quantum systems offer a significant advantage over qubits for closing the detection loophole. In the symmetric scenario, a detection efficiency as low as 61.8% can be tolerated using four-dimensional states and a four-setting Bell inequality [Phys. Rev. Lett. 104, 060401 (2010)PRLTAO0031-900710.1103/PhysRevLett.104.060401]. For the first time, we show that four-dimensional entangled photons violate a Bell inequality while closing the detection loophole in experiment. The detection efficiency of the four-dimensional entangled source is about 71.7%, and the fidelity of the state is 0.995±0.001. Combining the technique of multicore fibers, the realization of loophole-free high-dimensional Bell tests and high-dimensional quantum DI technologies are promising.

Simultaneous removal of multiple PFAS from contaminated groundwater around a fluorochemical facility by the periodically reversing electrocoagulation technique.

Increasing attentions have been paid on widespread contaminations of perfluoroalkyl substances (PFAS). Particularly, simultaneous occurrence of multiple PFAS in the aquatic environments globally has been recognized as a crucial emerging issue. The present study aimed to perform simultaneous removal of multiple PFAS contaminations from groundwater around a fluorochemical facility based upon the technique of periodically reversing electrocoagulation (PREC). Accordingly, the experiments were implemented on the best conditions, actual application, and removal mechanism in the process of PREC with Al-Zn electrodes. Consequently, 1 mg/L synthetic solution of ten PFAS could be eliminated ideally during the initial 10 min, under the optimal conditions involving voltage at 12 V, pH at 7.0, and electrolyte with NaCl. The maximum removal rates of perfluorobutanoic acid (PFBA), perfluorobutane sulfonate (PFBS), perfluorooctanoic acid (PFOA), and perfluorooctane sulfonate (PFOS) were 90.9%, 91.0%, 99.7%, and 100%, respectively. The PREC performed a significant improvement for the wide scope of PFAS removal with the levels ranging from 10 µg/L to 100 mg/L. In addition, the optimized PREC technique was further applied to remove various PFAS contaminations from the natural groundwater samples underneath the fluorochemical facility, subsequently generating the removal efficiencies in the range between 31.3% and 99.9%, showing the observable advantages compared with other removal techniques for the actual application. Finally, the mechanism of PFAS removal was mainly related to enmeshment and synergistic bridging adsorption, together with oxidation degradation that determined by potential formation of short-chain PFAS in the PREC process. As a result, the PREC technique would be a promising technique for the efficient removal of multiple PFAS contaminations simultaneously from natural water bodies.

Entanglement Swapping and Quantum Correlations via Symmetric Joint Measurements.

We use hyperentanglement to experimentally realize deterministic entanglement swapping based on quantum elegant joint measurements. These are joint projections of two qubits onto highly symmetric, isoentangled bases. We report measurement fidelities no smaller than 97.4%. We showcase the applications of these measurements by using the entanglement swapping procedure to demonstrate quantum correlations in the form of proof-of-principle violations of both bilocal Bell inequalities and more stringent correlation criteria corresponding to full network nonlocality. Our results are a foray into entangled measurements and nonlocality beyond the paradigmatic Bell state measurement and they show the relevance of more general measurements in entanglement swapping scenarios.

Ultrasonic spleen thickness-based indexes surpass Baveno VI criteria in high-risk gastroesophageal varices detection.

AIMS: To evaluate the efficiency of ultrasonic spleen thickness (UST), routine variables and (expanded) Baveno VI criteria for high-risk gastroesophageal varices (HRGOV) detection in cirrhotic patients. METHODS: In total, 305 cirrhotic patients were retrospectively enrolled in the deriving cohort and 328 cirrhotic patients with hepatitis B sustained viral response were prospectively enrolled in the validation cohort. HRGOV was defined as medium and severe gastroesophageal varices (GOV), mild GOV with red signs or Child-Pugh C. The cut-offs for HRGOV were determined by likelihood ratio indicating strong evidences. Algorithms of Spleen thickness-Age-Liver stiffness measurement (LSM, by Fibroscan®)-Albumin (SALA) and Spleen thickness-Platelet-Albumin (SPA) were derived by multivariate analyses. RESULTS: The area under receiver operating characteristics curve of SALA, SPA, UST, platelet, and LSM were 0.849, 0.835, 0.808, 0.746, and 0.655 in the deriving cohort, and improved to 0.901, 0.904, 0.858, 0.876, and 0.811 in the validation cohort, respectively. While SALA, SPA, UST, platelet, Baveno VI criteria (BVI), and expanded BVI spared 46.6%, 38.0%, 29.2%, 21.0%, 12.1%, and 23.6% esophagogastroduodenoscopy in the deriving cohort, these numbers were improved to 68.1%, 66.8%, 27.1%, 37.8%, 36.0%, and 61.0% in the validating cohort, respectively; however, the negative likelihood ratio of expanded BVI was up to 0.16. SPA spared less esophagogastroduodenoscopy than SALA, which can be supplemented by stepwise applying UST and SPA. Sequentially combining UST and SALA, BVI and SALA exempted additional 10-5% endoscopies. CONCLUSIONS: SPA, without LSM, improves HRGOV detection comparing with BVI. UST based algorithms combination can achieve the best efficiency especially in sustained virus response hepatitis B.

An estimation of distribution algorithm with clustering for scenario-based robust financial optimization.

One important problem in financial optimization is to search for robust investment plans that can maximize return while minimizing risk. The market environment, namely the scenario of the problem in optimization, always affects the return and risk of an investment plan. Those financial optimization problems that the performance of the investment plans largely depends on the scenarios are defined as scenario-based optimization problems. This kind of uncertainty is called scenario-based uncertainty. The consideration of scenario-based uncertainty in multi-objective optimization problem is a largely under explored domain. In this paper, a nondominated sorting estimation of distribution algorithm with clustering (NSEDA-C) is proposed to deal with scenario-based robust financial problems. A robust group insurance portfolio problem is taken as an instance to study the features of scenario-based robust financial problems. A simplified simulation method is applied to measure the return while an estimation model is devised to measure the risk. Applications of the NSEDA-C on the group insurance portfolio problem for real-world insurance products have validated the effectiveness of the proposed algorithm.

Optimized Detection of High-Dimensional Entanglement.

Entanglement detection is one of the most conventional tasks in quantum information processing. While most experimental demonstrations of high-dimensional entanglement rely on fidelity-based witnesses, these are powerless to detect entanglement within a large class of entangled quantum states, the so-called unfaithful states. In this Letter, we introduce a highly flexible automated method to construct optimal tests for entanglement detection given a bipartite target state of arbitrary dimension, faithful or unfaithful, and a set of local measurement operators. By restricting the number or complexity of the considered measurement settings, our method outputs the most convenient protocol which can be implemented using a wide range of experimental techniques such as photons, superconducting qudits, cold atoms, or trapped ions. With an experimental quantum optics setup that can prepare and measure arbitrary high-dimensional mixed states, we implement some three-setting protocols generated by our method. These protocols allow us to experimentally certify two- and three-unfaithful entanglement in four-dimensional photonic states, some of which contain well above 50% of noise.

Pathways for Entanglement-Based Quantum Communication in the Face of High Noise.

Entanglement-based quantum communication offers an increased level of security in practical secret shared key distribution. One of the fundamental principles enabling this security-the fact that interfering with one photon will destroy entanglement and thus be detectable-is also the greatest obstacle. Random encounters of traveling photons, losses, and technical imperfections make noise an inevitable part of any quantum communication scheme, severely limiting distance, key rate, and environmental conditions in which quantum key distribution can be employed. Using photons entangled in their spatial degree of freedom, we show that the increased noise resistance of high-dimensional entanglement can indeed be harnessed for practical key distribution schemes. We perform quantum key distribution in eight entangled paths at various levels of environmental noise and show key rates that, even after error correction and privacy amplification, still exceed 1 bit per photon pair and furthermore certify a secure key at noise levels that would prohibit comparable qubit based schemes from working.

Experimental Demonstration of Instrument-Specific Quantum Memory Effects and Non-Markovian Process Recovery for Common-Cause Processes.

The duration, strength, and structure of memory effects are crucial properties of physical evolution. Because of the invasive nature of quantum measurement, such properties must be defined with respect to the probing instruments employed. Here, using a photonic platform, we experimentally demonstrate this necessity via two paradigmatic processes: future-history correlations in the first process can be erased by an intermediate quantum measurement; for the second process, a noisy classical measurement blocks the effect of history. We then apply memory truncation techniques to recover an efficient description that approximates expectation values for multitime observables. Our proof-of-principle analysis paves the way for experiments concerning more general non-Markovian quantum processes and highlights where standard open systems techniques break down.

The influence of fasting and caloric restriction on inflammation levels in humans: A protocol for systematic review and meta analysis.

BACKGROUND: Fasting and caloric restriction have a potential means of anti-inflammatory, as they can decrease the level of systemic inflammation. Although encouraging results have been obtained in animal experiments, there is no consensus on whether these results are applicable to human. The objective of this systematic review and meta-analysis is to analyze the influence of fasting and caloric restriction on inflammation levels in humans. METHODS: The systematic review and meta-analysis will be conducted in accordance with the Preferred Reporting Items for Systematic Review and Meta-Analysis (PRISMA) guidelines. The following eight databases will be searched:(The retrieval time is from the establishment of each database to December 2020): PubMed, the Cochrane Library, Embase, Web of Science, China National Knowledge infrastructure (CNKI), China Biology Medicine (CBM), Wan Fang Data, the Chinese Science and Technology Periodical Database (VIP). Relevant data will be performed by Revman 5.3 software provided (Cochrane Collaboration) and Stata 14.0 statistical software. RESULTS: The results of this systematic review and meta-analysis will be published in a peer-reviewed journal. CONCLUSIONS: This systematic review will provide evidence to judge the effectiveness of fasting and calorie restriction in human subjects, so as to provide a sound basis for future research and lifestyle promotion. INPLASY REGISTRATION NUMBER: INPLASY202130026.

Long-Distance Entanglement Purification for Quantum Communication.

High-quality long-distance entanglement is essential for both quantum communication and scalable quantum networks. Entanglement purification is to distill high-quality entanglement from low-quality entanglement in a noisy environment and it plays a key role in quantum repeaters. The previous significant entanglement purification experiments require two pairs of low-quality entangled states and were demonstrated in tabletop. Here we propose and report a high-efficiency and long-distance entanglement purification using only one pair of hyperentangled state. We also demonstrate its practical application in entanglement-based quantum key distribution (QKD). One pair of polarization spatial-mode hyperentanglement was distributed over 11 km multicore fiber (noisy channel). After purification, the fidelity of polarization entanglement arises from 0.771 to 0.887 and the effective key rate in entanglement-based QKD increases from 0 to 0.332. The values of Clauser-Horne-Shimony-Holt inequality of polarization entanglement arises from 1.829 to 2.128. Moreover, by using one pair of hyperentanglement and deterministic controlled-NOT gates, the total purification efficiency can be estimated as 6.6×10^{3} times than the experiment using two pairs of entangled states with spontaneous parametric down-conversion sources. Our results offer the potential to be implemented as part of a full quantum repeater and large-scale quantum network.

Effect of Nephritis Rehabilitation Tablets combined with tacrolimus in treatment of idiopathic membranous nephropathy.

BACKGROUND: Idiopathic membranous nephropathy (IMN) has a high incidence in the middle-aged and elderly population, and poses a great threat to the physical and mental health and quality of life of patients. Nephritis Rehabilitation Tablets have many potential effects, such as clearing residual toxins, tumefying the kidney and spleen, replenishing qi, and nourishing yin, and have played an important role in the treatment of a variety of kidney diseases. AIM: To investigate the efficacy and safety of Nephritis Rehabilitation Tablets combined with tacrolimus in the treatment of IMN. METHODS: Eighty-four patients with IMN recruited from January 2017 to September 2020 were randomly divided into a study group (n = 42) and a control group (n = 42). On the basis of routine symptomatic treatment, both groups were treated with tacrolimus, and the study group was additionally treated with Nephritis Rehabilitation Tablets. Both groups were treated for 12 wk. The therapeutic effect, the levels of renal function indexes [serum creatinine (Scr), serum albumin, and 24-h urinary protein], urinary immunoglobulin (IgG4), membrane attack complex (C5b-9), and the incidence of adverse reactions were measured before and after 12 wk of treatment. RESULTS: The total effective rate in the study group was significantly higher than that of the control group. Before treatment, there was no significant difference in Scr, serum albumin, or 24 h urinary protein between the two groups. After 12 wk of treatment, the levels of Scr and 24-h urinary protein in both groups were significantly lower and serum albumin was significantly higher than those before treatment (P < 0.05), and the levels of Scr and 24-h urinary protein were significantly lower (P = 0.003 and 0.000, respectively), and the level of serum albumin was significantly higher (P = 0.00) in the study group than in the control group. Before treatment, there was no significant difference in urinary IgG4 and C5b-9 levels between the study group and the control group (P = 0.336 and 0.438, respectively). After 12 wk of treatment, the levels of urinary IgG4 and C5b-9 in the two groups were lower than those before treatment, and the levels of urinary IgG4 and C5b-9 in the study group were significantly lower than those in the control group (P = 0.000). There was no significant difference in the incidence of adverse reactions between the two groups (P = 0.710). CONCLUSION: Based on routine intervention, Nephritis Rehabilitation Tablets combined with tacrolimus in the treatment of IMN can effectively improve the renal function of patients and downregulate the expression of urinary IgG4 and C5b-9. In addition, they can improve the overall therapeutic effect while not increasing the risk of adverse reactions.

Experimental High-Dimensional Quantum Teleportation.

Quantum teleportation provides a way to transmit unknown quantum states from one location to another. In the quantum world, multilevel systems which enable high-dimensional systems are more prevalent. Therefore, to completely rebuild the quantum states of a single particle remotely, one needs to teleport multilevel (high-dimensional) states. Here, we demonstrate the teleportation of high-dimensional states in a three-dimensional six-photon system. We exploit the spatial mode of a single photon as the high-dimensional system, use two auxiliary entangled photons to realize a deterministic three-dimensional Bell state measurement. The fidelity of teleportation process matrix is F=0.596±0.037. Through this process matrix, we can prove that our teleportation is both nonclassical and genuine three dimensional. Our work paves the way to rebuild complex quantum systems remotely and to construct complex quantum networks.

Efficient Generation of High-Dimensional Entanglement through Multipath Down-Conversion.

High-dimensional entanglement promises to greatly enhance the performance of quantum communication and enable quantum advantages unreachable by qubit entanglement. One of the great challenges, however, is the reliable production, distribution, and local certification of high-dimensional sources of entanglement. In this Letter, we present an optical setup capable of producing quantum states with an exceptionally high level of scalability, control, and quality that, together with novel certification techniques, achieve the highest amount of entanglement recorded so far. We showcase entanglement in 32-spatial dimensions with record fidelity to the maximally entangled state (F=0.933±0.001) and introduce measurement efficient schemes to certify entanglement of formation (E_{oF}=3.728±0.006). Combined with the existing multicore fiber technology, our results will lay a solid foundation for the construction of high-dimensional quantum networks.