Maximally informative ensembles for SIC-POVMs in dimension 3

In order to find out for which initial states of the system the uncertainty of the measurement outcomes will be minimal, one can look for the minimizers of the Shannon entropy of the measurement. In case of group covariant measurements this question becomes closely related to the problem how informative the measurement is in the sense of its informational power. Namely, the orbit under group action of the entropy minimizer corresponds to a maximally informative ensemble of equiprobable elements. We give a characterization of such ensembles for 3-dimensional group covariant (Weyl-Heisenberg) SIC-POVMs in both geometric and algebraic terms. It turns out that a maximally informative ensemble arises from the input state orthogonal to a subspace spanned by three linearly dependent vectors defining a SIC-POVM (geometrically) or from an eigenstate of certain Weyl's matrix (algebraically).Comment: 11 page

Informational power of the Hoggar SIC-POVM

We compute the informational power for the Hoggar SIC-POVM in dimension 8, i.e. the classical capacity of a quantum-classical channel generated by this measurement. We show that the states constituting a maximally informative ensemble form a twin Hoggar SIC-POVM being the image of the original one under a conjugation.Comment: 6 double column page

Can QBism exist without Q? Morphophoric measurements in generalised probabilistic theories

In a Generalised Probabilistic Theory (GPT) equipped additionally with some extra geometric structure we define the morphophoric measurements as those for which the measurement map sending states to distributions of the measurement results is a similarity. In the quantum case, morphophoric measurements generalise the notion of a 2-design POVM, thus in particular that of a SIC-POVM. We show that the theory built on this class of measurements retains the chief features of the QBism approach to the basis of quantum mechanics. In particular, we demonstrate how to extend the primal equation ('Urgleichung') of QBism, designed for SIC-POVMs, to the morphophoric case of GPTs. In the latter setting, the equation takes a different, albeit more symmetric, form, but all the quantities that appear in it can be interpreted in probabilistic and operational terms, as in the original 'Urgleichung'

Morphophoric POVMs, generalised qplexes, and 2-designs

We study the class of quantum measurements with the property that the image of the set of quantum states under the measurement map transforming states into probability distributions is similar to this set and call such measurements morphophoric. This leads to the generalisation of the notion of a qplex, where SIC-POVMs are replaced by the elements of the much larger class of morphophoric POVMs, containing in particular 2-design (rank-1 and equal-trace) POVMs. The intrinsic geometry of a generalised qplex is the same as that of the set of quantum states, so we explore its external geometry, investigating, inter alia, the algebraic and geometric form of the inner (basis) and the outer (primal) polytopes between which the generalised qplex is sandwiched. In particular, we examine generalised qplexes generated by MUB-like 2-design POVMs utilising their graph-theoretical properties. Moreover, we show how to extend the primal equation of QBism designed for SIC-POVMs to the morphophoric case.Comment: 27 pages, 5 figure

Prospectus, September 26, 1979

SMALL CHANGE BY FOOD SERVICE; Goba\u27s prayer for all; Letter to editor: Apathy justified?; U. of I. wants YOU!; Submit originals NOW!; Visual Art grad returns; To be at U. of I. tonight: Otrabanda appears; Long livers learn disco, activities fill program; Weight Program starts; BEOG increases; Student government discusses issues; Mental retardation causes and helps; Krannert features the Young Illini; Parkland Board okays budget; College Community Board promotes togetherness; Local student FFA president; Sistercelebration; Birth Defects Any Cures?; Everybody lights up for Styx concert; U. of I. finds Twain treasures; Trilingual comedy this weekend; N.O.W. fights back in rally Fri.; Leaf burning can begin October 1; W.I.R.E. forms Oct. 1-7 p.m.; Classifieds; Karate meets; Illini ranked 13th: Penthouse lists bottom 20; New players, field, for baseball; V-ball wrap-up; Illini starting time changed; Fast Freddy Contest; Freddy goes 8-5https://spark.parkland.edu/prospectus_1979/1011/thumbnail.jp

Gamma band directional interactions between basal forebrain and visual cortex during wake and sleep states

The basal forebrain (BF) is an important regulator of cortical excitability and responsivity to sensory stimuli, and plays a major role in wake-sleep regulation. While the impact of BF on cortical EEG or LFP signals has been extensively documented, surprisingly little is known about LFP activity within BF. Based on bilateral recordings from rats in their home cage, we describe endogenous LFP oscillations in the BF during quiet wakefulness, rapid eye movement (REM) and slow wave sleep (SWS) states. Using coherence and Granger causality methods, we characterize directional influences between BF and visual cortex (VC) during each of these states. We observed pronounced BF gamma activity particularly during wakefulness, as well as to a lesser extent during SWS and REM. During wakefulness, this BF gamma activity exerted a directional influence on VC that was associated with cortical excitation. During SWS but not REM, there was also a robust directional gamma band influence of BF on VC. In all three states, directional influence in the gamma band was only present in BF to VC direction and tended to be regulated specifically within each brain hemisphere. Locality of gamma band LFPs to the BF was confirmed by demonstration of phase locking of local spiking activity to the gamma cycle. We report novel aspects of endogenous BF LFP oscillations and their relationship to cortical LFP signals during sleep and wakefulness. We link our findings to known aspects of GABAergic BF networks that likely underlie gamma band LFP activations, and show that the Granger causality analyses can faithfully recapitulate many known attributes of these networks

Prospectus, February 14, 1979

HAPPY VALENTINES DAY; Who is it they call St. Valentines?; Proposal before IOC for a central information board; Directory published; \u27Mountain Man\u27 lecturer coming to Parkland Feb. 22; ISO presents program; PC election results are announced; Nursing honored; Western rep. at PC Friday; New mascot painting in gym; Workshop coming; PC enrollment is increasing; PC band is open to everyone; Good notes essential for good grades; Quotable Study Tips; Rape workshop to come to PC soon; Agri-business seminar to continue Saturday; PC women to discuss best-seller; Poetry reading at PC Feb. 22; Relieve your tensions at the Parkland gym; To My Valentine; Snacks, part of America, are not always bad; PC teacher writes book; Classifieds; Choosing a sports school; Cubs visit C-U; Parkland defeats number 1 school; PC to host basketball tourney; PC relay team places thirdhttps://spark.parkland.edu/prospectus_1979/1026/thumbnail.jp

An Inpatient Patient Safety Curriculum for Pediatric Residents.

Introduction: Patient safety is recognized as an important part of pediatric resident education. There is a lack of published safety curricula targeting pediatric residents. A local needs assessment showed that while residents felt safety was an important part of their current and future jobs, they did not feel prepared to apply safety principles to their future careers or participate in a root cause analysis (RCA). Methods: This curriculum was delivered to senior-level pediatric and multiple-board residents during five monthly, hour-long, multidisciplinary sessions. Sessions covered systems-based thinking, terminology, the second victim phenomenon, RCA, and medication errors, while providing feedback on recent event reports filed by residents. Resident knowledge, attitudes, and reporting behavior were evaluated prior to and following the curriculum. Results: Attendees showed statistically significant improved safety attitudes and preparedness to apply safety to their future endeavors; conversely, there were no significant changes in nonattendees. There were no significant changes in knowledge scores or event reporting. Answers to qualitative questions identified learning about the reporting process, RCAs, and follow-up on filed event reports as valuable parts of the curriculum. Residents desired more time to debrief about safety events. Discussion: The curriculum succeeded in engaging residents in patient safety and making them feel prepared for future practice. Residents showed a dissonance between their intentions to report and their actual reporting behaviors, the reasons for which require further exploration. Residents desired a forum to deal with the emotions involved in errors. This curriculum is easily transferable to other institutions with minor modifications