Limitations of a measurement-assisted optomechanical route to quantum macroscopicity of superposition states

Optomechanics is currently believed to provide a promising route towards the achievement of genuine quantum effects at the large, massive-system scale. By using a recently proposed figure of merit that is well suited to address continuous-variable systems, in this paper we analyze the requirements needed for the state of a mechanical mode (embodied by an end-cavity cantilever or a membrane placed within an optical cavity) to be qualified as macroscopic. We show that, according to the phase space-based criterion that we have chosen for our quantitative analysis, the state achieved through strong single-photon radiation-pressure coupling to a quantized field of light and conditioned by measurements operated on the latter might be interpreted as macroscopically quantum. In general, though, genuine macroscopic quantum superpositions appear to be possible only under quite demanding experimental conditions

Generation of cluster states in optomechanical quantum systems

We consider an optomechanical quantum system composed of a single cavity mode interacting with N mechanical resonators. We propose a scheme for generating continuous-variable graph states of arbitrary size and shape, including the so-called cluster states for universal quantum computation. The main feature of this scheme is that, differently from previous approaches, the graph states are hosted in the mechanical degrees of freedom rather than in the radiative ones. Specifically, via a 2N-tone drive, we engineer a linear Hamiltonian which is instrumental to dissipatively drive the system to the desired target state. The robustness of this scheme is assessed against finite interaction times and mechanical noise, confirming it as a valuable approach towards quantum state engineering for continuous-variable computation in a solid-state platform.

The Extra-territorial Obligations of European States regarding Human Rights in the Context of Terrorism

This chapter focuses on the growing tendency of international human rights law to require states to protect the rights of non-nationals who are in the state unlawfully and of nationals and non-nationals who are outside the state, especially when any of these people are involved in terrorist or counter-terrorist activity. It reviews these additional obligations within a European context, focusing on EU law and the law of the European Convention on Human Rights and drawing on the case law of UK courts. Part 1 considers when a European state must grant asylum to alleged terrorists on the basis that otherwise they would suffer human rights abuses in the state from which they are fleeing. Part 2 examines whether, outside of asylum claims, a European state must not deport or extradite an alleged terrorist because he or she might suffer an abuse of human rights in the receiving state. Part 3 looks at whether a European state whose security forces are engaged in counter-terrorism activities abroad is obliged to protect the human rights of the individuals serving in those forces and/or the human rights of the alleged terrorists they are confronting. While welcoming the extension of state responsibility, the chapter notes that it is occurring in a way which introduces three aspects of relativity into the protection of human rights. First, European law protects only some human rights extra-territorially. Second, it protects those rights only when there is ‘a real risk’ of their being violated. Third, sometimes it protects those rights only when there is a real risk of their being violated ‘flagrantly’.