An Optimal Design for Universal Multiport Interferometers

Universal multiport interferometers, which can be programmed to implement any linear transformation between multiple channels, are emerging as a powerful tool for both classical and quantum photonics. These interferometers are typically composed of a regular mesh of beam splitters and phase shifters, allowing for straightforward fabrication using integrated photonic architectures and ready scalability. The current, standard design for universal multiport interferometers is based on work by Reck et al (Phys. Rev. Lett. 73, 58, 1994). We demonstrate a new design for universal multiport interferometers based on an alternative arrangement of beam splitters and phase shifters, which outperforms that by Reck et al. Our design occupies half the physical footprint of the Reck design and is significantly more robust to optical losses.Comment: 8 pages, 4 figure

Socio-psychological factors, beyond knowledge, predict people's engagement in pollinator conservation

1. Nature conservation often depends on the behaviour of individuals, which can bedriven by socio-psychological factors such as a person's attitude, knowledge andidentity. Despite extensive ecological research about pollinator declines, there hasbeen almost no social research assessing the drivers of people's engagement inpollinator conservation.2. To address this gap, we used a large-scale, online questionnaire in the UnitedKingdom, broadly framed around the Theory of Planned Behaviour. We received atotal of 1,275 responses from a wide range of ages, incomes and education levels,despite a selection bias towards people with a pre-existing interest in pollinators.3. A range of socio-psychological factors predicted people's pollinator conservation actions and explained 45% of the variation. Respondents’ diversity of natureinteractions and perceived behavioural control (feeling able to help pollinators)were consistently important predictors of people's pollinator conservation actions, whilst the importance of other socio-psychological factors depended onthe particular action.4. Notably, knowledge was far less important overall than people's perceptions andother socio-psychological factors, highlighting a knowledge-action gap. Furtherunexplained variation in people's behaviour could partly be due by structural andcontextual factors, particularly regarding social norms around tidiness.5. From a practical perspective, our findings reveal three main insights. First, several simple, low-cost pollinator conservation actions (reduced mowing, leavingareas unmown and creating patches of bare ground for ground-nesting bees)are currently under-utilised so should be priorities for pollinator conservationprogrammes.6. Second, strategies are needed to overcome reported practical barriers, for example by providing free resources (e.g. seeds of pollen- and nectar-rich plants) andcommunicating simple beneficial actions that can be carried out with limited time,space and money

Detecting Dark Domain Walls

Light scalar fields, with double well potentials and direct matter couplings, undergo density driven phase transitions, leading to the formation of domain walls. Such theories could explain dark energy, dark matter or source the nanoHz gravitational-wave background. We describe an experiment that could be used to detect such domain walls in a laboratory experiment, solving for the scalar field profile, and showing how the domain wall affects the motion of a test particle. We find that, in currently unconstrained regions of parameter space, the domain walls leave detectable signatures.Comment: 8 pages, 3 figure

Finding Orientations of Supersingular Elliptic Curves and Quaternion Orders

Orientations of supersingular elliptic curves encode the information of an endomorphism of the curve. Computing the full endomorphism ring is a known hard problem, so one might consider how hard it is to find one such orientation. We prove that access to an oracle which tells if an elliptic curve is $\mathfrak{O}$-orientable for a fixed imaginary quadratic order $\mathfrak{O}$ provides non-trivial information towards computing an endomorphism corresponding to the $\mathfrak{O}$-orientation. We provide explicit algorithms and in-depth complexity analysis. We also consider the question in terms of quaternion algebras. We provide algorithms which compute an embedding of a fixed imaginary quadratic order into a maximal order of the quaternion algebra ramified at $p$ and $\infty$. We provide code implementations in Sagemath which is efficient for finding embeddings of imaginary quadratic orders of discriminants up to $O(p)$, even for cryptographically sized $p$

Image-guided liver surgery: intraoperative projection of computed tomography images utilizing tracked ultrasound

AbstractBackgroundUltrasound (US) is the most commonly used form of image guidance during liver surgery. However, the use of navigation systems that incorporate instrument tracking and three-dimensional visualization of preoperative tomography is increasing. This report describes an initial experience using an image-guidance system with navigated US.MethodsAn image-guidance system was used in a total of 50 open liver procedures to aid in localization and targeting of liver lesions. An optical tracking system was employed to localize surgical instruments. Customized hardware and calibration of the US transducer were required. The results of three procedures are highlighted in order to illustrate specific navigation techniques that proved useful in the broader patient cohort.ResultsOver a 7-month span, the navigation system assisted in completing 21 (42%) of the procedures, and tracked US alone provided additional information required to perform resection or ablation in six procedures (12%). Average registration time during the three illustrative procedures was <1min. Average set-up time was approximately 5min per procedure.ConclusionsThe Explorer™ Liver guidance system represents novel technology that continues to evolve. This initial experience indicates that image guidance is valuable in certain procedures, specifically in cases in which difficult anatomy or tumour location or echogenicity limit the usefulness of traditional guidance methods

Finding Orientations of Supersingular Elliptic Curves and Quaternion Orders

Orientations of supersingular elliptic curves encode the information of an endomorphism of the curve. Computing the full endomorphism ring is a known hard problem, so one might consider how hard it is to find one such orientation. We prove that access to an oracle which tells if an elliptic curve is $\mathfrak{O}$-orientable for a fixed imaginary quadratic order $\mathfrak{O}$ provides non-trivial information towards computing an endomorphism corresponding to the $\mathfrak{O}$-orientation. We provide explicit algorithms and in-depth complexity analysis. We also consider the question in terms of quaternion algebras. We provide algorithms which compute an embedding of a fixed imaginary quadratic order into a maximal order of the quaternion algebra ramified at $p$ and $\infty$. We provide code implementations in Sagemath which is efficient for finding embeddings of imaginary quadratic orders of discriminants up to $O(p)$, even for cryptographically sized $p$