Providing Diverse Trainees an Early and Transparent Introduction to Academic Appointment and Promotion Processes.

IntroductionThe growth in number of medical schools and increased numbers of faculty tracks have combined with evolving criteria for promotion to trigger a call for greater transparency of academic appointment and promotion processes. Most vulnerable to confusion about these changes are first-generation and diverse medical students and residents, the upstream pipeline of the academic medicine workforce. Diverse medical students have expressed diminished interest in academia because of perceived obstacles in appointment and promotion processes.MethodsThis workshop was designed to utilize didactics and career reflection exercises to help trainees learn: (1) how to define core terms related to academic appointment and promotion processes, (2) how to compare data elements for different CVs and portfolios, (3) common steps in submitting a promotion package, and (4) that they can immediately begin to document content for academic CVs, portfolios, and promotion packages.ResultsOne hundred forty-five diverse participants completed an evaluation at eight conferences across the U.S. More than 90% strongly agreed or agreed that the aforementioned objectives were met. Participants commented that the workshop was "illuminating," was "very informative," and "provided an inside look of how faculty are evaluated." Results showed an immediate impact on participants' self-reported confidence to negotiate appointment and promotion processes.DiscussionIncreases in self-rated confidence to negotiate appointment and promotion processes may help sustain trainees' interest in becoming future faculty. Further monitoring will be needed to determine if early exposure to these concepts improves probability of seeking, obtaining, and maintaining appointments

On the structure of the sets of mutually unbiased bases for N qubits

For a system of N qubits, spanning a Hilbert space of dimension d=2^N, it is known that there exists d+1 mutually unbiased bases. Different construction algorithms exist, and it is remarkable that different methods lead to sets of bases with different properties as far as separability is concerned. Here we derive the four sets of nine bases for three qubits, and show how they are unitarily related. We also briefly discuss the four-qubit case, give the entanglement structure of sixteen sets of bases,and show some of them, and their interrelations, as examples. The extension of the method to the general case of N qubits is outlined.Comment: 16 pages, 10 tables, 1 figur

Optimizing omnidirectional reflection by multilayer mirrors

Periodic layered media can reflect strongly for all incident angles and polarizations in a given frequency range. Quarter-wave stacks at normal incidence are commonplace in the design of such omnidirectional reflectors. We discuss alternative design criteria to optimize these systems.Comment: 9 pages, 6 figures. To be published in J. Opt. A: Pure and Applied Optic

Quantum phases of a qutrit

We consider various approaches to treat the phases of a qutrit. Although it is possible to represent qutrits in a convenient geometrical manner by resorting to a generalization of the Poincare sphere, we argue that the appropriate way of dealing with this problem is through phase operators associated with the algebra su(3). The rather unusual properties of these phases are caused by the small dimension of the system and are explored in detail. We also examine the positive operator-valued measures that can describe the qutrit phase properties.Comment: 6 page

The quantum vacuum at the foundations of classical electrodynamics

In the classical theory of electromagnetism, the permittivity and the permeability of free space are constants whose magnitudes do not seem to possess any deeper physical meaning. By replacing the free space of classical physics with the quantum notion of the vacuum, we speculate that the values of the aforementioned constants could arise from the polarization and magnetization of virtual pairs in vacuum. A classical dispersion model with parameters determined by quantum and particle physics is employed to estimate their values. We find the correct orders of magnitude. Additionally, our simple assumptions yield an independent estimate for the number of charged elementary particles based on the known values of the permittivity and the permeability, and for the volume of a virtual pair. Such interpretation would provide an intriguing connection between the celebrated theory of classical electromagnetism and the quantum theory in the weak field limit.Comment: Accepted in Applied Physics B: Special Issue for the 50 years of the laser. Comments are welcome

Chemoselective Addition of Lithium Phosphides to Aldehydes and Epoxides in Deep Eutectic Solvents

Within the arsenal of organic synthesis, the chemistry of compounds of s-block elements (typically organolithium and Grignard reagents) has become one of the most useful tools to forge new C–C. Although a variety of synthetic methods has been developed so far to create C–N, C–O and C–S bonds, the number of protocols for the construction of new C–P connections is much more limited. Pioneering, independent studies from Hevia, García-Alvarez, and our own group have shown that the rate of alkylation/arylation of unsaturated functional groups (e.g., carbonyl compounds, imines, double bonds) by highly polar organometallic compounds successfully competes with protonation, when using environmentally responsible protic solvents like water and the so-called Deep Eutectic Solvents (DESs). In this communication, we wish to report that DESs can be used as environmentally friendly reaction media to promote a fast (within 3 s reaction time) and chemoselective addition of in-situ generated highly polarized lithium phosphides (LiPR2) to both aldehydes and epoxides, working at room temperature (RT) and under aerobic conditions, thereby granting access to α- and β-hydroxy-phosphine oxides, respectively, in very good yields (up to 94%)

A measurable entanglement criterion for two qubits

We propose a directly measurable criterion for the entanglement of two qubits. We compare the criterion with other criteria, and we find that for pure states, and some mixed states, it coincides with the state's concurrency. The measure can be obtained with a Bell state analyser and the ability to make general local unitary transformations. However, the procedure fails to measure the entanglement of a general mixed two-qubit state.Comment: 5 page

Distance-based degrees of polarization for a quantum field

It is well established that unpolarized light is invariant with respect to any SU(2) polarization transformation. This requirement fully characterizes the set of density matrices representing unpolarized states. We introduce the degree of polarization of a quantum state as its distance to the set of unpolarized states. We use two different candidates of distance, namely the Hilbert-Schmidt and the Bures metric, showing that they induce fundamentally different degrees of polarization. We apply these notions to relevant field states and we demonstrate that they avoid some of the problems arising with the classical definition.Comment: 8 pages, 1 eps figur

Entanglement measure for general pure multipartite quantum states

We propose an explicit formula for an entanglement measure of pure multipartite quantum states, then study a general pure tripartite state in detail, and at end we give some simple but illustrative examples on four-qubits and m-qubits states.Comment: 5 page

Certainty relations between local and nonlocal observables

We demonstrate that for an arbitrary number of identical particles, each defined on a Hilbert-space of arbitrary dimension, there exists a whole ladder of relations of complementarity between local, and every conceivable kind of joint (or nonlocal) measurements. E.g., the more accurate we can know (by a measurement) some joint property of three qubits (projecting the state onto a tripartite entangled state), the less accurate some other property, local to the three qubits, become. We also show that the corresponding complementarity relations are particularly tight for particles defined on prime dimensional Hilbert spaces.Comment: 4 pages, no figure