Entanglement quasiprobabilities of squeezed light

We demonstrate the feasibility to completely characterize entanglement by negativities of quasiprobabilities. This requires the complete solution of a sophisticated mathematical problem, the so-called separability eigenvalue problem. Its solution is obtained for a non-Gaussian continuous variable quantum state, a two-mode squeezed state undergoing dephasing. This is a standard scenario for experiments with quantum-correlated radiation fields

Covariant 4-dimensional fuzzy spheres, matrix models and higher spin

We study in detail generalized 4-dimensional fuzzy spheres with twisted extra dimensions. These spheres can be viewed as $SO(5)$-equivariant projections of quantized coadjoint orbits of $SO(6)$. We show that they arise as solutions in Yang-Mills matrix models, which naturally leads to higher-spin gauge theories on $S^4$. Several types of embeddings in matrix models are found, including one with self-intersecting fuzzy extra dimensions $S^4 \times \mathcal{K}$, which is expected to entail 2+1 generations.Comment: 41+7 pages, 4 figure

Quasiprobabilities for Multipartite Quantum Correlations of Light

Regular quasiprobabilities are introduced for the aim of characterizing quantum correlations of multimode radiation fields. Negativities of these quantum-correlation quasiprobabilities are necessary and sufficient for any quantum correlation encoded in the multimode Glauber-Sudarshan P function. The strength of the method is demonstrated for a two-mode phase randomized squeezed-vacuum state. It has no entanglement, no quantum discord, a positive Wigner function, and a classical reduced single-mode representation. Our method clearly visualizes the quantum correlations of this state.Comment: 7 pages, 3 figure

Impact of Deadlift and Power Clean on Vertical and Broad Jump Performance

A transfer between weightlifting and jumps is based on principles of increased demands being placed upon the muscular system while performing similar movement patterns. The purpose of the study was to investigate the impact of power-clean (PC) and deadlift (DL) interventions on vertical-jump (VJ) and broad-jump (BJ) performance in college-aged males. The hypothesis stated PC intervention would show greater improvements in BJ and VJ than DL intervention. The null hypothesis stated no difference between DL and PC groups would be found in affecting VJ and BJ performance. Six males who were not D-I athletes and were experienced with required movements were recruited for the study. Participants were randomly assigned to DL intervention, PC intervention, or control group. ORPYX shoe pods were placed in participants shoes to measure force produced in jumps and lifts. All participants performed pre-intervention max VJ and BJ testing. Jump testing was followed by max PC and DL testing for respected groups. Participants in DL and PC interventions performed a training protocol three days a week for six-weeks. Post-intervention, subjects were re-evaluated in jumps and lifts. Data was analyzed through ORPYX and transferred to Excel for further analysis. Means and standard deviations for force, jumps, and lifts were calculated and analyzed through SPSS. A one-way ANOVA was used to analyze data. Improvements occurred, but no statistically significant difference was observed (p \u3c .05). The null hypothesis was accepted; no significant differences were found between DL and PC in affecting VJ and BJ performance