Nonclassicality Criteria from Phase-Space Representations and Information-Theoretical Constraints Are Maximally Inequivalent

We consider two celebrated criteria for defining the nonclassicality of bipartite bosonic quantum systems, the first stemming from information theoretic concepts and the second from physical constraints on the quantum phase space. Consequently, two sets of allegedly classical states are singled out: (i) the set C composed of the so-called classical-classical (CC) states—separable states that are locally distinguishable and do not possess quantum discord; (ii) the set P of states endowed with a positive P representation (P-classical states)—mixtures of Glauber coherent states that, e.g., fail to show negativity of their Wigner function. By showing that C and P are almost disjoint, we prove that the two defining criteria are maximally inequivalent. Thus, the notions of classicality that they put forward are radically different. In particular, generic CC states show quantumness in their P representation, and vice versa, almost all P-classical states have positive quantum discord and, hence, are not CC. This inequivalence is further elucidated considering different applications of P-classical and CC states. Our results suggest that there are other quantum correlations in nature than those revealed by entanglement and quantum discord.

Using evidence in policy: The importance of mediating beliefs and practices

This article argues that to understand the use of evidence in policy, we need to examine how meanings and practices in the civil service shape what is accepted as knowledge, and how differences between the beliefs and values of the academy and the polity can impede the flow and transfer of knowledge. It considers the importance of social context and shared meanings in legitimating knowledge. Who counts as legitimate knowledge providers has expanded and here the role of stakeholder groups and experiential knowledge is of particular interest. How hierarchy, anonymity, and generalist knowledge within the civil service mediate the use of evidence in policy is examined. The difference in values and ideology of the civil service and the academy has implications for how academic research is interpreted and used to formulate policy and for its position in knowledge power struggles. There are particular issues about the social science nature of evidence to inform rural policy being mediated in a government department more used to dealing with natural science knowledge. This article is based on participant observation carried out in a UK Department of Agriculture and Rural Development. © 2013 The Author. Sociologia Ruralis © 2013 European Society for Rural Sociology.

Introduction: Beyond the Divided City: Policies and Practices of Shared Space

Introduction to special feature on 'post-conflict' Belfast

Two dimensional unital Riesz algebras, their representations and norms

We describe all two dimensional unital Riesz algebras and study representations of them in Riesz algebras of regular operators. Although our results are not complete, we do demonstrate that very varied behaviour can occur even though all these algebras can be given a Banach lattice algebra norm.