The Operational Choi–Jamiołkowski Isomorphism

In this article, I use an operational formulation of the Choi–Jamiołkowski isomorphism to explore an approach to quantum mechanics in which the state is not the fundamental object. I first situate this project in the context of generalized probabilistic theories and argue that this framework may be understood as a means of drawing conclusions about the intratheoretic causal structure of quantum mechanics which are independent of any specific ontological picture. I then give an operational formulation of the Choi–Jamiołkowski isomorphism and show that, in an operational theory which exhibits this isomorphism, several features of the theory which are usually regarded as properties of the quantum state can be derived from constraints on non-local correlations. This demonstrates that there is no need to postulate states to be the bearers of these properties, since they can be understood as consequences of a fundamental equivalence between multipartite and temporal correlations.

Organizational Culture in the Focus of Improving Risk Management in the Enterprise

The article considers the manifestations of the phenomenon of economic risk in the socioeconomic ecosystems of industrial enterprises, examines and differentiates the pragmatic and cultural aspects of the concept of "economic risk management". In terms of methodology, the study is based on the operational theory of risk management, and also uses tools to describe the organizational culture of risk management. Pragmatic and cultural differences in the characteristics of economic risk are identified at the level of stable forms of management activity with the involvement of the main provisions of the operational theory of risk management. The phenomenon of risk is considered in the ontological space as an artificial category of activity of industrial enterprises and other economic agents that form a socio-economic ecosystem. This phenomenon is studied as a specific form of social communication associated with the desire to assess the uncertain future in the present time, mainly from the point of view of analysis and management of the level of economic risk in the enterprise.

Revealing universal quantum contextuality through communication games

An ontological model of an operational theory is considered to be universally noncontextual if both preparation and measurement noncontextuality assumptions are satisfied in that model. In this report, we first generalize the logical proofs of quantum preparation and measurement contextuality for qubit system for any odd number of preparations and measurements. Based on the logical proof, we derive testable universally non-contextual inequalities violated by quantum theory. We then propose a class of two-party communication games and show that the average success probability of winning such games is solely linked to suitable Bell expression whose local bound is greater than universal non-contextual bound. Thus, for a given state, even if quantum theory does not exhibit non-locality, it may still reveal non-classicality by violating the universal non-contextual bound. Further, we consider a different communication game to demonstrate that for a given choices of observables in quantum theory, even if there is no logical proof of preparation and measurement contextuality exist, the universal quantum contextuality can be revealed through that communication game. Such a game thus test a weaker form of universal non-contextuality with minimal assumption.

Beyond the Cabello-Severini-Winter framework: Making sense of contextuality without sharpness of measurements

We develop a hypergraph-theoretic framework for Spekkens contextuality applied to Kochen-Specker (KS) type scenarios that goes beyond the Cabello-Severini-Winter (CSW) framework. To do this, we add new hypergraph-theoretic ingredients to the CSW framework. We then obtain noise-robust noncontextuality inequalities in this generalized framework by applying the assumption of (Spekkens) noncontextuality to both preparations and measurements. The resulting framework goes beyond the CSW framework in both senses, conceptual and technical. On the conceptual level: 1) as in any treatment based on the generalized notion of noncontextuality à la Spekkens, we relax the assumption of outcome determinism inherent to the Kochen-Specker theorem but retain measurement noncontextuality, besides introducing preparation noncontextuality, 2) we do not require the exclusivity principle -- that pairwise exclusive measurement events must all be mutually exclusive -- as a fundamental constraint on measurement events of interest in an experimental test of contextuality, given that this property is not true of general quantum measurements, and 3) as a result, we do not need to presume that measurement events of interest are ``sharp" (for any definition of sharpness), where this notion of sharpness is meant to imply the exclusivity principle. On the technical level, we go beyond the CSW framework in the following senses: 1) we introduce a source events hypergraph -- besides the measurement events hypergraph usually considered -- and define a new operational quantity Corr that appears in our inequalities, 2) we define a new hypergraph invariant -- the weightedmax-predictability -- that is necessary for our analysis and appears in our inequalities, and 3) our noise-robust noncontextuality inequalities quantify tradeoff relations between three operational quantities -- Corr, R, and p0 -- only one of which (namely, R) corresponds to the Bell-Kochen-Specker functionals appearing in the CSW framework; when Corr=1, the inequalities formally reduce to CSW type bounds on R. Along the way, we also consider in detail the scope of our framework vis-à-vis the CSW framework, particularly the role of Specker's principle in the CSW framework, i.e., what the principle means for an operational theory satisfying it and why we don't impose it in our framework.

Preliminary Development of a Measurement Reference Using a Research Simplex Atomizer

Cold-flow spray researchers have an array of diagnostic tools to extract meaningful information on spray characteristics. The efficacy of many of these tools, however, depends heavily on calibration, alignment, human operation, and even the underlying operational theory. This can lead to large discrepancies in data values for seemingly identical setups between workers. The application of experimental data to numerical models is thereby hindered due to inconsistencies in results caused by experimental error. Previously, an attempt was made to produce a “reference spray” through the use of a research simplex atomizer (RSA). As manufacturing processes and diagnostic tools have improved, the RSA is being revisited. Here, a new RSA has been investigated. Fundamental datasets captured from detailed test conditions are presented to provide benchmark data with the intention of other workers testing the reproducibility of the results. Preliminary findings between laboratories show good agreement in droplet size measurements. Further, emphasis is placed on the sensitivity of laser diagnostics used and the effect their operation can incur. To satisfy the requirements of a measurement reference, it is paramount that all workers adhere to similar diagnostic configurations and detail their operating parameters.

Stevens and the Operational Definition of Measurement in Psychology, 1935–1950

Chapter 8 broadens the narrative beyond utility measurement and discusses an important outcome of the 1930s British controversy over psychological measurement, namely the operational definition of measurement put forward by American psychologist Stanley Smith Stevens in 1946. For Stevens, measurement consists of the assignment of numbers to objects according to certain rules. Since there are various rules for assigning numbers to objects, there are various forms, or scales, of measurement. Each scale is identified by the empirical operations used to create it and by the class of mathematical transformations the numbers in each scale can be subjected to. From this operational viewpoint, unit-based measurement is just a particular, and quite restrictive, form of measurement. Stevens’s definition of measurement was broad enough to include the psychologists’ quantification practices as measurement and quickly became canonical in psychology. The final section of the chapter discusses drawbacks to Stevens’s operational theory of measurement.

Words also make us: Enhancing the sociology of embodiment with cultural psychology

We still lack an operational theory for a complete analysis of early socialization processes. Bourdieu has stressed their bodily dimension but has done so at the expense of more symbolic aspects. This theoretical option corresponds to a very general goal of the Bourdieusian theory of practice: analysing sociality without suffering an intellectualist bias. However, symbolic activity and socializing language in particular can be approached as a practical phenomenon (i.e. habitual, informal, unconscious, etc.). From this viewpoint, the sociology of embodiment may have much to learn from cultural psychology, which has focused on early language as it is naturally performed – when people speak to children, and when children speak. The work of cultural psychologists on the role of everyday words and narratives in the making of the self can be extended through a sociological ethnography of language. The features and interests of such an ethnography are discussed in the final section of the article, on the basis of fieldwork conducted in a nursery. This final development illustrates and analyses the concrete appropriation of caregiver injunctions by 2- to 3-year-old children.