Joint Measurement Research Articles

Transnational labour governance: Crafting the authority and regulatory effectiveness of global agreements

The development of cross-border social dialogue to improve conditions for global workers includes transnational company agreements. These private governance agreements, inter alia, encourage company and union parties to share responsibility for protecting labour rights and standards throughout their operations. In particular, the Global Framework Agreement (GFA), with declared global reach inclusive of suppliers and robust joint measures for regulatory compliance, contributes a significant resource of potentiality for actor utility and local application. This article shows that concrete asymmetries of political-economy power in multinational companies are affected by attribution and expression of moral-political authority engendered by the GFA, and diverse actor responses to that authority. Generation and distribution of that authority among parties facilitates action toward more responsible and effective multilevel transnational labour governance.

Quantum teleportation based on the elegant joint measurement

As a generalization of the well-known Bell state measurement (BSM), the elegant joint measurement (EJM) is a kind of novel two-qubit joint measurement, parameterized by a subtle phase factor θ∈[0,π/2]. We investigate here the quantum teleportation based on the EJM that conceptually goes beyond BSM. It is a probabilistic teleportation caused by nonunitary quantum evolution except for the special case of the BSM with θ=π/2. We show in detail the feasible quantum circuits to realize the present scenario, where a few unitary operations and a nonunitary quantum gate are being utilized. This work suggests that it is feasible to extend the customary (BSM-based) teleportation scenarios to the EJM-based ones, and different from the BSM being single input it may provide a continuously variable input setting or even multiple measurement settings for the sender of the quantum state.

Fat shattering, joint measurability, and PAC learnability of POVM hypothesis classes

Fat shattering, joint measurability, and PAC learnability of POVM hypothesis classes

Nonprojective Bell-state measurements

The Bell-state measurement (BSM) is the projection of two qubits onto four orthogonal maximally entangled states. Here we first propose how to appropriately define more general BSMs, which have more than four possible outcomes, and then study whether they exist in quantum theory. We observe that nonprojective BSMs can be defined in a systematic way in terms of equiangular tight frames of maximally entangled states, i.e., a set of maximally entangled states, where every pair is equally, and in a sense maximally, distinguishable. We show that there exists a five-outcome BSM through an explicit construction and find that it admits a simple geometric representation. Then we prove that there exists no larger BSM on two qubits by showing that no six-outcome BSM is possible. We also determine the most distinguishable set of six equiangular maximally entangled states and show that it falls only somewhat short of forming a valid quantum measurement. Finally, we study the nonprojective BSM in the contexts of both local state discrimination and entanglement-assisted quantum communication. Our results put forward natural forms of nonprojective joint measurements and provide insight into the geometry of entangled quantum states. Published by the American Physical Society 2024

Joint measurement of cosmic-ray muons and seismic waves at laboratory scale

SUMMARY Current geophysical exploration methods face challenges in accurately determining gas saturation levels and elastic constants with adequate spatial resolution. Seismic wave velocity is a critical physical property in these techniques, but it introduces uncertainties because of its composite nature involving density and two elastic constants (e.g. bulk and shear modulus), which exhibit a trade-off relationship. We propose a novel approach that integrates cosmic-ray muon detection with seismic exploration to independently resolve P- and S-wave velocities into their constituent elastic constants and densities. First, we utilized a fluid substitution approach based on Gassmann's model to illustrate the benefits of incorporating density information in predicting gas saturation levels in pores. This supports the advantage of decomposing seismic wave velocity into density and two elastic constants. Second, to validate the applicability and performance of the proposed method, which involves separating seismic wave velocity into density and two types of elastic constants, muon and ultrasonic data were collected in laboratory experiments on two different targets: an acrylic block and an aluminium block. Upon muon observation, a relationship is established to convert muon flux into density length, considering the characteristics of the building housing the laboratory and the direction of muon arrival at specific positions within the building. Although there is potential for enhancing the accuracy of the derived physical properties such as density, bulk modulus, and shear modulus, the feasibility of this method has been successfully demonstrated at the laboratory scale.

Прокурорский надзор за исполнением законодательства в экологической сфере

Topical issues of increasing the efficiency of supervision over the implementation of environmental legislation, human rights tasks to protect the constitutional rights of citizens to live in a favorable environment are considered. The effective work of the Yakut environmental prosecutor’s office to compensate for environmental damage caused to the subsoil as a result of violation of the legislation of the Russian Federation on subsoil is revealed. It is noted that the judge supported the prosecutor’s proposal to apply legal interim measures of joint and several property liability of legal entities for the future actual execution of the court decision, taking into account the large damage caused to natural resources. The important role of the prosecutor’s office in ensuring legal protection of people’s environmental rights is emphasized, which contributes to the process of forming the environmental legal consciousness of civil society in a legal democratic Russian state.

Tip tilt and focus estimation based on LGS and downlink joint measurements for ground to GEO satellite optical communication link

Achieving high data rates in GEO Feeder optical uplinks faces challenges due to the fading nature of the channel induced by atmospheric turbulence. Adaptive optics pre-compensation using downlink measurements is a solution to mitigate the impact of the turbulence. However, the point-ahead angle anisoplanatism, inherent to the bidirectional link geometry, limits the uplink correction efficiency, leading to persistent signal fades and loss of information onboard the satellite. We recently proposed a new minimum mean square error method that improves the phase estimation at the PAA based on the downlink phase and log amplitude measurements, reducing the anisoplanatism impact on the coupled flux. Alternatively, a laser guide star can be used to measure the phase at the PAA. However, it is currently challenging to retrieve the tip, tilt, and focus modes, whose correction is essential to improve the link quality. In this article, we propose to combine both techniques to estimate the tip, tilt, and focus at the PAA by incorporating the LGS high-order measurements in the MMSE formalism. We develop the associated analytical reconstructor and evaluate the performance of the phase estimation and the gain on the coupled flux statistics aboard the GEO satellite, considering an idealized LGS system. The new estimator is shown to reduce the tip, tilt, and focus error variances by up to 70% of their initial value.

Radiographic Measurements of the Hip Joint in Capuchin Monkeys (Sapajus spp.).

Radiographs are useful for the initial evaluation of the hip joints. The information can be utilized for the betterment of animal health or other goals such as anatomic studies and gait analysis, among others. Therefore, this study aimed to evaluate radiographic measurements of the hip joint in capuchin monkeys, kept under human care at a reference center for wildlife. Twelve capuchin monkeys (Sapajus spp.) (three adult males, seven adult females, and two sub-adult females) were evaluated. Ventrodorsal radiographic views were taken under chemical restraint. All measurements on the digital images were performed in triplicate by one examiner. None of the measurements evaluated were statistically different between males and females. No statistical differences were found between hind limbs. The mean (±SD) Norberg angle was 104.92° (±2.82°) and the Wiberg angle was 15.26° (±1.86°). The percentage of the femoral head covered by the acetabulum was 68.57% (±3.65%) and the acetabular index depth to width ratio was 54.66% (±3.85%). In conclusion, the radiographic measurements showed certain morphological features of the hip joint in Sapajus spp. that contribute to improving species knowledge.

Are there laterality differences in passive flexion and extension of the proximal limb joints in working Siberian Husky dogs?

Differences between left and right-side joint range of motion may affect canine locomotive ability and movement. Passive range of motion (PROM) joint measurement provides the limits that a particular joint can move in its physiological planes of motion without influence of muscle activity. To compare left and right-side flexion and extension of the glenohumeral, humeroulnar/humeroradial, coxofemoral and femorotibial joints and for laterality PROM differences. Siberian Husky dogs were selected (n = 18) of mixed gender, aged (1.4–11.8) years living and working together from a single kennel. Joint PROM was measured using goniometry, a validated, non-invasive method, by the same investigator previously tested for acceptable measurement repeatability. Dogs were conscious and placed in standing position. Triplicate measures of joint flexion and extension were taken on both sides of each dog for afore-mentioned joints. Median values of triplicate measures were computed. Paired t-tests compared laterality of joint PROM, gender, age (< 6 vs. > 6 years) effects. Inferential symmetry indices [SI] were calculated. There was no significant difference (p > 0.05) between left and right-side flexion and extension measures for all joints. Gender had no significant effect (p > 0.05) on joint flexion or extension measures for all joints. Age (< 6 vs. > 6 years) had a significant effect on right hip flexion (p < 0.001) and for both left and right-side shoulder flexion (p < 0.001); elbow flexion (p = 0.001 and p < 0.001); hip extension (p = 0.02 and p < 0.001) respectively. The shoulder joint showed greatest PROM asymmetry (SI = 3.63%). Bilateral PROM measures are important to consider in joint movement and assessment. These results warrant further investigation with larger cohorts of defined age groups.

Abstract B152: Joint Associations of Neighborhood Socioeconomic Status and Education on the Incidence of Colorectal Cancer: The Multiethnic Cohort Study

Abstract Background: Colorectal cancer (CRC) is the 3rd most diagnosed cancer worldwide. When considered separately, both neighborhood- and individual-level SES exposures have been associated with CRC incidence. However, the joint associations of neighborhood- and individual-level SES on CRC incidence have not been examined. Methods: In a prospective study of 153,725 Multiethnic Cohort (MEC) participants (24,764 African American, 44,447 Japanese American, 34,974 Latino, 11,511 Native Hawaiian, and 38,029 White participants) recruited from predominantly Los Angeles County, California (CA), and Hawaii (HI), we examined the joint association of neighborhood SES (nSES) and individual-level education with CRC incidence (CA: 2,519, HI: 2,210 cases). Education, other demographics, and health behaviors were self-reported in the baseline questionnaire (1993-1996). CRC diagnosis was determined via linkages with state cancer registries. nSES was derived using a composite score based on 1990 US Census block group data and assigned to geocoded baseline addresses. Our joint SES measure included four categories: high nSES (quintiles 4-5) and high education (> high school), high nSES and low education (≤ high school), low nSES (quintiles 1-3) and high education, and low nSES and low education. State-specific hazards ratios (HR) for CRC incidence were estimated for joint SES categories. Cox regression adjusted for age at cohort entry, CRC family history, polyp history, obesity, diabetes, diet, alcohol, smoking, physical activity, and NSAID, multivitamin, and hormone therapy use. Subgroup analyses were conducted by sex, race, and ethnicity. Results: For HI MEC participants, compared to individuals with high nSES and high education, risk for CRC was highest among those with low nSES and low education (HR=1.27; 95% CI:1.11-1.45) followed by high nSES and low education (HR=1.25; 95% CI:1.12-1.41), and low nSES and high education (HR=1.17; 95% CI: 1.03-1.31). This pattern of association was observed across sex but differed across race and ethnicity (p-heterogeneity=0.04). The overall pattern of association was observed among White participants in HI. However, for Japanese American individuals in HI, compared to those with high nSES and high education, risk for CRC was highest for low nSES and high education (HR=1.29; 95% CI:1.09-1.53) and high nSES and low education (HR= 1.28; 95% CI; 1.10-1.50). For Native Hawaiian individuals, compared to those with high nSES and high education, CRC risk was highest for those with low nSES and low education (HR=1.70; 95% CI: 1.20-2.42). Associations were not statistically significant between the joint SES measure and CRC risk in CA (HRs: 0.92-0.97). Conclusion: Among MEC participants in HI, CRC risk varied with the joint measure of nSES and education across racial and ethnic groups. These findings emphasize the importance of considering the joint associations of neighborhood- and individual-level SES in understanding racial and ethnic disparities in CRC. Citation Format: Catherine Walsh, Meera Sangaramoorthy, Songyi Park, Sung-shim (Lani) Park, Gertraud Maskarinec, Lynne Wilkens, Christopher Haiman, Anna Wu, Salma Shariff-Marco, Loic Le Marchand, Iona Cheng. Joint Associations of Neighborhood Socioeconomic Status and Education on the Incidence of Colorectal Cancer: The Multiethnic Cohort Study [abstract]. In: Proceedings of the 17th AACR Conference on the Science of Cancer Health Disparities in Racial/Ethnic Minorities and the Medically Underserved; 2024 Sep 21-24; Los Angeles, CA. Philadelphia (PA): AACR; Cancer Epidemiol Biomarkers Prev 2024;33(9 Suppl):Abstract nr B152.

Quasiprobabilities in Quantum Thermodynamics and Many-Body Systems

In this tutorial, we present the definition, interpretation, and properties of some of the main quasiprobabilities that can describe the statistics of measurement outcomes evaluated at two or more times. Such statistics incorporate the incompatibility of the measurement observables and the state of the measured quantum system. We particularly focus on Kirkwood-Dirac quasiprobabilities and related distributions. We also discuss techniques to experimentally access a quasiprobability distribution, ranging from the weak two-point measurement scheme, to a Ramsey-like interferometric scheme and procedures assisted by an external detector. Once defined the fundamental concepts following the standpoint of joint measurability in quantum mechanics, we illustrate the use of quasiprobabilities in quantum thermodynamics to describe the quantum statistics of work and heat, and to explain anomalies in the energy exchanges entailed by a given thermodynamic transformation. On the one hand, in work protocols, we show how absorbed energy can be converted to extractable work and vice versa due to Hamiltonian incompatibility at distinct times. On the other hand, in exchange processes between two quantum systems initially at different temperatures, we explain how quantum correlations in their initial state may induce cold-to-hot energy exchanges, which are unnatural between any pair of equilibrium nondriven systems. We conclude the tutorial by giving simple examples where quasiprobabilities are applied to many-body systems: scrambling of quantum information, sensitivity to local perturbations, and quantum work statistics in the quenched dynamics of models that can be mapped onto systems of free fermions, for instance, the Ising model with a transverse field. Throughout the tutorial, we meticulously present derivations of essential concepts alongside straightforward examples, aiming to enhance comprehension and facilitate learning. Published by the American Physical Society 2024

Effects of exogenous deoxyribonuclease I in collagen antibody-induced arthritis

BackgroundRheumatoid arthritis (RA) is associated with a high concentration of extracellular DNA (ecDNA). This could be a consequence of the inflammation, but the ecDNA could also be involved in the unknown etiopathogenesis of RA. Clearance of ecDNA is hypothesized to prevent the development of RA. This study aimed to analyze the effects of exogenous deoxyribonuclease I (DNase I) administration in an animal model of RA.MethodsThe collagen antibody-induced arthritis (CAIA) model of RA was induced in adult female DBA/1J mice. CAIA mice were treated with saline or DNase I (10 mg/kg) every 12 h for the whole duration of the experiment. Arthritic scores were assessed. Paw volume and temperature were assessed using a plethysmometer and a thermal camera, respectively. Plasma ecDNA and its subcellular origin were analyzed using fluorometry and real-time PCR. DNase activity was quantified with single radial enzyme diffusion method.ResultsThe CAIA model was successfully induced as proved by a higher volume, temperature and the overall arthritis score in comparison to controls. The administration of DNase I resulted in a nearly two-fold increase in serum DNase activity. Still, it did affect neither plasma ecDNA, nor the arthritis score or other measures of joint inflammation.ConclusionOur results suggest that exogenous DNase I does not prevent the development of CAIA in mice. Whether this is true for other animal models of arthritis or clinical RA requires further research. EcDNA does not seem to be involved in the pathogenesis of CAIA. Additional studies are also needed to elucidate the role of ecDNA in the development of RA, focusing especially on its origin and inhibition of ecDNA release.

Relationship between Feline Knee Joint Osteoarthritis and Bone Mineral Density Quantified Using Computed Tomography and Computed Digital Absorptiometry.

Osteoarthritis (OA), including knee joint OA, is a common chronic condition in cats. In both cats and humans, knee joint OA is characterized radiographically by the presence of osteophytes, enthesiophytes, subchondral sclerosis, and joint space narrowing. However, only in humans have these radiographic signs been reported to increase bone mineral density (BMD). Therefore, this study aims to quantify the volumetric (vBMD) and relative (rBMD) BMD measures of the feline knee joint and compare BMD measures between various severities of OA to test the hypothesized OA-BMD relationship in the knee joint in cats. The 46 feline knee joints were imaged using computed tomography (CT) and conventional radiography supported by the computed digital absorptiometry (CDA) method to obtain vBMD and rBMD, respectively. Both BMD measures were assessed in three regions of interest (ROIs): the distal femur (ROI 1), patella (ROI 2), and proximal tibia (ROI 3). In all locations, vBMD and rBMD showed moderate (ROI 2: r = 0.67, p < 0.0001) to strong (ROI 1: ρ = 0.96, p < 0.0001; ROI 3: r = 0.89, p < 0.0001) positive correlations. Due to differences (p < 0.0001) in the width of the distal femur (17.9 ± 1.21 mm), patella (8.2 ± 0.82 mm), and proximal tibia (19.3 ± 1.16 mm), the rBMD was corrected (corr rBMD) using the thickness coefficient of 0.46 ± 0.04 for ROI 2 and 1.08 ± 0.03 for ROI 3. Regardless of the quantification method used, BMD measures increased linearly from a normal knee joint to severe OA, with differences in BMD between normal and mild to severe knee joint OA. The OA-BMD relationship in the feline knee joint can be preliminarily confirmed.

Research on Intraparticle to Interparticle Entanglement Swapping Protocols

Entanglement is one of the most striking features of quantum systems, whereby its non-classical correlation is an essential resource in numerous quantum protocols. Entanglement can be divided into two categories: interparticle and intraparticle entanglement. There are both distinctions and similarities between these two kinds of entangled states. This work delves into these distinctions and similarities from the following aspects: correlation and non-locality, robustness, the mechanisms of generation and separation, and practical applications. Entanglement swapping is a technique based on quantum entanglement. As entanglement has different categories, entanglement swapping also has various types, including interparticle to interparticle and intraparticle to interparticle. Swapping protocols from intraparticle entanglement to interparticle entanglement can be applied to super quantum dense encoding, quantum information transmission, quantum teleportation, etc. Thus, this work proposes three swapping protocols, from spin–orbit intraparticle entanglement to spin–spin interparticle entanglement, based on Bell state joint measurement, the cross-Kerr medium, and linear optical elements. This work can help us better understand entanglement by analyzing the differences and similarities between the two types of entangled states. It can also enhance entanglement swapping protocols, from spin–orbit intraparticle to spin–spin interparticle entanglement, for use in quantum information transfer.

Vibration Analysis at Castello Ursino Picture Gallery (Sicily, Italy) for the Implementation of Self-Generating AlN-MEMS Sensors.

This work explores the potential of self-powered MEMS devices for application in the preventive conservation of cultural heritage. The main objective is to evaluate the effectiveness of piezoelectric aluminum nitride MEMS (AlN-MEMS) for monitoring vibrations and to investigate its potential for harvesting energy from vibrations, including those induced by visitors. A preliminary laboratory comparison was conducted between AlN-MEMS and the commercial device Tromino®. The study was then extended to the Picture Gallery of Ursino Castle, where joint measurements with the two devices were carried out. The analysis focused on identifying natural frequencies and vibrational energy levels by key metrics, including spectral peaks and the Power Spectral Density (PSD). The results indicated that the response of the AlN-MEMS aligned well with the data collected by the commercial device, especially observing high vibrational energy around 100 Hz. Such results validate the potential of AlN-MEMS for effective vibration measurement and for converting kinetic energy into electrical power, thereby eliminating the need for external power sources. Additionally, the vibrational analysis highlighted specific locations, such as the measurement point Cu4, as exhibiting the highest vibrational energy levels. These points could be used for placing MEMS sensors to ensure efficient vibration monitoring and energy harvesting.

Validity and reliability of a finger training tool for assessing metacarpal phalangeal joint ranges of motion in asymptomatic participants

This pilot study aims to evaluate concurrent validity using the goniometer as a reference tool and test–retest reliability of flexion of metacarpal phalangeal joint (MCP) measurements taken from a finger training device (air-guitar system) in healthy participants. There were ten self -reported asymptomatic participants recruited to test the devices. The measurements of all metacarpophangeal joints of the dominant hands were conducted using a finger goniometer and the air-guitar system. Two measuring sessions were conducted on the same day. The concurrent validity of the air-guitar indicated by strong concordance correlation coefficient (0.62–0.90) with the goniometer and mean difference (approximately 1°) between the two instruments are well below the limit of 5°. The test–retest reliability of MCP measurements from the air-guitar glove (0.82–0.99) was acceptable as a clinically meaningful measurement tool as the intraclass correlation coefficients were higher than 0.7. The standard error of measurement and minimal detectable change of the air-guitar are similar to those of the goniometer. The air-guitar tracking features, when used as a home-based therapy tool, may assist in monitoring change of MCP flexion over a time course with good reliability and strongly associated with the measurements from the goniometer.

Accounting for cellular-level variation in lysis: implications for virus-host dynamics.

Viral impacts on microbial populations depend on interaction phenotypes-including viral traits spanning the adsorption rate, latent period, and burst size. The latent period is a key viral trait in lytic infections. Defined as the time from viral adsorption to viral progeny release, the latent period of bacteriophage is conventionally inferred via one-step growth curves in which the accumulation of free virus is measured over time in a population of infected cells. Developed more than 80 years ago, one-step growth curves do not account for cellular-level variability in the timing of lysis, potentially biasing inference of viral traits. Here, we use nonlinear dynamical models to understand how individual-level variation of the latent period impacts virus-host dynamics. Our modeling approach shows that inference of the latent period via one-step growth curves is systematically biased-generating estimates of shorter latent periods than the underlying population-level mean. The bias arises because variability in lysis timing at the cellular level leads to a fraction of early burst events, which are interpreted, artefactually, as an earlier mean time of viral release. We develop a computational framework to estimate latent period variability from joint measurements of host and free virus populations. Our computational framework recovers both the mean and variance of the latent period within simulated infections including realistic measurement noise. This work suggests that reframing the latent period as a distribution to account for variability in the population will improve the study of viral traits and their role in shaping microbial populations.IMPORTANCEQuantifying viral traits-including the adsorption rate, burst size, and latent period-is critical to characterize viral infection dynamics and develop predictive models of viral impacts across scales from cells to ecosystems. Here, we revisit the gold standard of viral trait estimation-the one-step growth curve-to assess the extent to which assumptions at the core of viral infection dynamics lead to ongoing and systematic biases in inferences of viral traits. We show that latent period estimates obtained via one-step growth curves systematically underestimate the mean latent period and, in turn, overestimate the rate of viral killing at population scales. By explicitly incorporating trait variability into a dynamical inference framework that leverages both virus and host time series, we provide a practical route to improve estimates of the mean and variance of viral traits across diverse virus-microbe systems.

Weightbearing Computed Tomography Can Accurately Detect Subtle Lisfranc Injury.

Early detection of Lisfranc injury is critical for improving clinical outcomes, but diagnosing subtle injury can be difficult. Weightbearing computed tomography (WBCT) allows evaluation of such injuries in 3 dimensions (3D) under physiologic load. This study aimed to assess the utility of 1-, 2-, and 3-dimensional measurements on WBCT to diagnose subtle injury in isolated ligamentous Lisfranc injuries. Ten cadaveric specimens underwent WBCT evaluation of the Lisfranc joint complex in the intact state and subsequently with sequential sectioning of the dorsal Lisfranc ligament and interosseous Lisfranc ligament (IOL) to create subtle Lisfranc injury, and finally after transectioning of plantar Lisfranc ligament (PLL) to create the injury conditions for complete ligamentous Lisfranc injury. Measurements under static vertical tibial load of 80 kg were performed on WBCT images including (1) Lisfranc joint (medial cuneiform-base of second metatarsal) volume, (2) Lisfranc joint area, (3) C1-C2 intercuneiform area, (4) C1-M2 distance, (5) C1-C2 distance, (6) M1-M2 intermetatarsal distance, (7) first tarsometatarsal (TMT1) alignment, (8) second tarsometatarsal (TMT2) alignment, (9) TMT1 dorsal step-off distance, and (10) TMT2 dorsal step-off distance. In the subtle Lisfranc injury state, Lisfranc joint volume and area, C1-M2 distance, and M1-M2 distance measurements on WBCT significantly increased, when compared with the intact state (P values .001 to .014). Additionally, Lisfranc joint volume and area, C1-M2 distance, M1-M2 distance, TMT2 alignment, and TMT2 dorsal step-off measurements were increased in the complete Lisfranc injury state. Of all measurements, C1-M2 distance had the largest area under the curve (AUC) of 0.96 (sensitivity = 90%; specificity = 90%), followed by Lisfranc volume (AUC = 0.90; sensitivity = 80%; specificity = 80%) and Lisfranc area (AUC = 0.89; sensitivity = 80%; specificity = 100%). In a cadaveric model we found that WBCT scan can increase the diagnostic accuracy for subtle Lisfranc injury. Among the measurements, C1-M2 distance exhibited the highest level of accuracy. The 2D joint area and 3D joint volume also proved to be accurate, with 3D volume measurements of the Lisfranc joint displaying the most significant absolute difference between the intact state and increasing severity of Lisfranc injury. These findings suggest that 2D joint area and 3D joint volume may have potential as supplementary measurements to more accurately diagnose subtle Lisfranc injuries. WBCT may help surgeons detect subtle Lisfranc injuries.

Compressing continuous variable quantum measurements

We generalize the notion of joint measurability to continuous variable systems by extending a recently introduced compression algorithm of quantum measurements to this realm. The extension results in a property that asks for the minimal dimensional quantum system required for representing a given set of quantum measurements. To illustrate the concept, we show that the canonical pair of position and momentum is completely incompressible. We translate the concept of measurement compression to the realm of quantum correlations, where it results in a generalization of continuous variable quantum steering. In contrast to the steering scenario, which detects entanglement, the generalization detects the dimensionality of entanglement. We illustrate the bridge between the concepts by showing that an analogue of the original EPR argument is genuinely infinite-dimensional with respect to our figure of merit, and that a fundamental discrete variable result on preparability of unsteerable state assemblages with separable states does not directly carry over to the continuous variable setting. We further prove a representation result for partially entanglement breaking channels that can be of independent interest.

Comparison of the efficacy of LARS ligament and autogenous hamstring tendon plus high-strength suture in posterior cruciate ligament reconstruction

To compare the clinical efficacy of ligament advanced reinforcement system (LARS) and autogenous hamstring tendon plus high-strength suture in arthroscopic reconstruction of posterior cruciate ligament(PCL). A total of 96 patients with simple PCL injury treated with arthroscopic posterior cruciate ligament reconstructive surgery admitted to our hospital between August 2019 and December 2021 were selected for complete follow-up. There were 78 males and 18 females, 40 cases of left leg and 56 cases of right leg, the aged from 20 to 56 years old with an average of (32.50±8.68 ) years old. The transplants were divided into two groups:LARS group (52 cases) and autogenous hamstring tendon plus high-strength suture group (44 cases). In the LARS group, there were 42 males and 10 females;with an average age of (31.84±8.62) years old;body mass index (BMI) was (24.73±2.29) kg﹒m-2;7 mm LARS was used to reconstruct PCL. In the autologous tendon group, there were 36 males and 8 females, with an average age of (33.06±8.99) years old, BMI was (23.52±2.16) kg·m-2, and the PCL was reconstructed with four strands of hamstring tendons and three pieces of Ethibond suture. All patients underwent functional rehabilitation guided exercise and were followed up regularly after surgery to objectively evaluate the stability of the knee joint by KT-1000 measurement of knee relaxation, and subjective evaluation of knee function by Lysholm score, Tegner score, and International Knee Documentation Council (IKDC) score. Data from preoperative, 3, 6, and 12 month follow-up were collected and analyzed by SPSS software to compare postoperative recovery and ligament relaxation between the two groups of patients. Ninety-six patients were followed up for 12 months. KT-1000 measurement of knee joint in autogenous tendon group and LARS group before operation [(10.73±1.46) points vs (10.55±1.53) points], 6 months after operation[(3.02±0.75) points vs (2.35±0.60) points], 12 months after operation[(3.77±1.76) points vs (2.44±0.60) points]. There was significant difference between the two groups at 6 and 12 months after operation (P<0.05), but there was no significant difference between the two groups at 3 months after operation (P>0.05). In the autogenous tendon group and LARS group, before operation and 12 months after operation, total Lysholm score [(40.6±16.8), (91.25±6.35) points vs (51.92±18.52), (92.35±5.30) points], Tegner score[(1.8±0.7), (5.8±0.6) points vs(1.7±0.8)、(5.7±0.7) points] and total IKDC score[(54.50±6.33), (83.90±3.93) points vs (54.40±4.24), (83.62±3.64) points], the differences were statistically significant (P<0.05), indicating that the knee function of the two groups was improved after surgery. At 3 and 6 months after operation in the autogenous tendon group and LARS group, the total Lysholm score[(65.86±11.54), (74.60±6.46) points vs (73.46±6.42), (86.73±4.62) points], Tegner score[(2.5±0.6), (3.5±0.5) points vs (4.3±0.7), (5.0±1.4) points], the total scores of IKDC [(55.78±2.68), (70.62±4.74) points vs (65.31±4.60), (79.71±2.93) points]. The difference between two groups was statistically significant (P<0.05). The results showed that the function of the knee joint in the LARS group was better than that the autologous tendon group. However, at 12 months after the operation, there was no significant difference in the score of knee joint function between the two groups (P>0.05). The results showed that the stability of LARS group was better than that of autologous tendon group. Both the autogenous hamstring tendon plus high-strength suture and LARS reconstruction can significantly improve the knee function and stability, with satisfactory postoperative results. Howervr the LARS provides superior postoperative stability.