Sensors permeate our society, measurement underpins quantitative action and standardized accurate measurements are a foundation of all commerce. The ability to measure parameters and sense phenomena with increasing precision has always led to dramatic advances in science and in technology - for example X-ray imaging, magnetic resonance imaging (MRI), interferometry and the scanning-tunneling microscope. Our rapidly growing understanding of how to engineer and control quantum systems vastly expands the limits of measurement and of sensing, opening up opportunities in radically alternative methods to the current state of the art in sensing. Through the developments proposed in this Fellowship, I aim to deliver sensors enhanced by the harnessing of unique quantum mechanical phenomena and principles inspired by insights into quantum physics to develop a series of prototypes with end-users. I plan to provide alternative approaches to the state of the art, to potentially reduce overall cost and dramatically increase capability, to reach new limits of precision measurement and to develop this technology for commercialization. Light is an excellent probe for sensing and measurement. Unique wavelength dependent absorption, and reemission of photons by atoms enable the properties of matter to be measured and the identification of constituent components. Interferometers provide ultra-sensitive measurement of optical path length changes on the nanometer-scale, translating to physical changes in distance, material expansion or sample density for example. However, for any canonical optical sensor, quantum mechanics predicts a fundamental limit of how much noise in such experiment can be suppressed - this is the so-called shot noise and is routinely observed as a noise floor when using a laser, the canonical "clean" source of radiation. By harnessing the quantum properties of light, it is possible reach precision beyond shot noise, enabling a new paradigm of precision sensors to be realized. Such quantum-enhanced sensors can use less light in the optical probe to gain the same level of precision in a conventional optical sensor. This enables, for example: the reduction of detrimental absorption in biological samples that can alter sample properties or damage it; the resolution of weak signals in trace gas detection; reduction of photon pressure in interferometry that can alter the measurement outcome; increase in precision when a limit of optical laser input is reached. Quantum-enhanced techniques are being used by the Laser Interferometer Gravitational Wave Observatory (LIGO) scientific collaboration to reach sub-shot noise precision interferometry of gravitational wave detection in kilometer-scale Michelson interferometers (GEO600). However, there is otherwise a distinct lack of practical devices that prove the potential of quantum-enhanced sensing as a disruptive technology for healthcare, precision manufacture, national security and commerce. For quantum-enhanced sensors to become small-scale, portable and therefore practical for an increased range of applications outside of the specialized quantum optics laboratory, it is clear that there is an urgent need to engineer an integrated optics platform, tailored to the needs of quantum-enhanced sensing. Requirements include robustness, miniaturization inherent phase stability and greater efficiency. Lithographic fabrication of much of the platform offers repeatable and affordable manufacture. My Fellowship proposal aims to bring together revolutionary quantum-enhanced sensing capabilities and photonic chip scale architectures. This will enable capabilities beyond the limits of classical physics for: absorbance spectroscopy, lab-on-chip interferometry and process tomography (revealing an unknown quantum process with fewer measurements and fewer probe photons).

UK economic growth, security, and sustainability are in danger of being compromised due to insufficient infrastructure supply. This partly reflects a recognised skills shortage in Engineering and the Physical Sciences. The proposed EPSRC funded Centre for Doctoral Training (CDT) aims to produce the next generation of engineers and scientists needed to meet the challenge of providing Sustainable Infrastructure Systems critical for maintaining UK competitiveness. The CDT will focus on Energy, Water, and Transport in the priority areas of National Infrastructure Systems, Sustainable Built Environment, and Water. Future Engineers and Scientists must have a wide range of transferable and technical skills and be able to collaborate at the interdisciplinary interface. Key attributes include leadership, the ability to communicate and work as a part of a large multidisciplinary network, and to think outside the box to develop creative and innovative solutions to novel problems. The CDT will be based on a cohort ethos to enhance educational efficiency by integrating best practices of traditional longitudinal top-down / bottom-up learning with innovative lateral knowledge exchange through peer-to-peer "coaching" and outreach. To inspire the next generation of engineers and scientists an outreach supply chain will link the focal student within his/her immediate cohort with: 1) previous and future cohorts; 2) other CDTs within and outside the University of Southampton; 3) industry; 4) academics; 5) the general public; and 6) Government. The programme will be composed of a first year of transferable and technical taught elements followed by 3 years of dedicated research with the opportunity to select further technical modules, and/or spend time in industry, and experience international training placements. Development of expertise will culminate in an individual project aligned to the relevant research area where the skills acquired are practiced. Cohort building and peer-to-peer learning will be on-going throughout the programme, with training in leadership, communication, and problem solving delivered through initiatives such as a team building residential course; a student-led seminar series and annual conference; a Group Design Project (national or international); and industry placement. The cohort will also mentor undergraduates and give outreach presentations to college students, school children, and other community groups. All activities are designed to facilitate the creation of a larger network. Students will be supported throughout the programme by their supervisory team, intensively at the start, through weekly tutorials during which a technical skills gap analysis will be conducted to inform future training needs. Benefitting from the £120M investment in the new Engineering Campus at the Boldrewood site the CDT will provide a high class education environment with access to state-of-the-art computer and experimental facilities, including large-scale research infrastructure, e.g. hydraulics laboratories with large flumes and wave tanks which are unparalleled in the UK. Students will benefit from the co-location of engineering, education, and research alongside industry users through this initiative. To provide cohort, training, inspiration and research legacies the CDT will deliver: 1) Sixty doctoral graduates in engineering and science with a broad understanding of the challenges faced by the Energy, Water, and Transport industries and the specialist technical skills needed to solve them. They will be ambitious research, engineering, industrial, and political leaders of the future with an ability to demonstrate creativity and innovation when working as part of teams. 2) A network of home-grown talent, comprising of several CDT cohorts, with a greater capability to solve the "Big Problems" than individuals, or small isolated clusters of expertise, typically generated through traditional training programmes.

The interdisciplinary programme of research and software development I propose lies at the interface of physics, chemistry, and biology. Key target areas of this proposals, which my software will address, are coarse-grained modelling of DNA and RNA, the study of living systems and active matter far away from equilibrium, new soft energy and functional materials, enhanced encapsulation technologies and algorithms for new heterogeneous computing architectures. The proposed software development programme aligns with a number of key areas of research that have been identified as Physics Grand Challenges. One of them is the understanding the physics of life. This has the goal to develop an integrating understanding of life from single molecules to whole biological systems. DNA and RNA are the two biopolymers that are involved in various biological roles, most notably in the encoding of the genetic instructions needed in the development and functioning of living organisms and gene transcription. Coarse-grained models of DNA or RNA can provide significant computational and conceptual advantages over atomistic models, leading often to three or more orders of magnitude greater efficiency. But they are not only an efficient alternative to atomistic models of DNA as they are indispensable for the modelling of DNA on timescales in the millisecond range and beyond, or when long DNA strands of tens of thousands of base pairs or more have to be considered. This is for instance important to study the dynamics of DNA supercoiling, the local over- or under-twisting of the double helix, which is important for gene expression. Another Grand Challenge is the nanoscale design of functional material, which aims at engineering desired properties into the materials by using new principles rather than proceeding by trial and error. In the proposed programme I address different classes of functional and energy materials. One example are particle suspensions, which are fundamental in encapsulation technologies used in consumer products like foods, beverages, cleaning agents, personal care products, paints and inks or in the petrochemical industry or the micro-technological sector with lab-on-a-chip devices. Nanostructured charged soft materials are a new and highly promising avenue to more efficient, safer energy producing or storing devices and have great potential to fill technological gaps in the design of batteries and electrodes or the storage of renewable energy. A third Grand Challenge is the emergence and physics far from thermodynamic equilibrium. As life itself is a process far away from equilibrium, the context of this research is also closely related to aspects of living matter and often challenges the classical theories of statistical physics. The software that I will produce during this Fellowship will be open source and freely available for download from public repositories. Parts of it are likely to form later a key contribution to a highly optimised and standardised library of micro-, meso- and macroscale algorithms and a European infrastructure for the simulation of complex fluids. The software and research programme will be undertaken at the University of Edinburgh in collaboration with project partners at the University of Cambridge, the University of Oxford, University College London, the University of Barcelona, Spain and Sandia National Laboratories, USA.

Quantum information science promises to fundamentally change the way we do things, not unlike how classical information science continues to change every aspect of our daily lives. Classical information science teaches us how difficult it is to break a cipher, or how long it will take a computer to do a calculation; quantum information science predicts fundamentally secure cryptography, and computers that solve certain problems faster than any conceivable classical machine. At first glance, it is surprising to think that randomness can actually help perform information processing tasks, and yet it can: for example, a random cryptographic key is known to be the best way to hide messages; more surprisingly, there exist problems where, rather than execute a deterministic algorithm as classical computers normally do, it is better to guess -- that is, invoke randomness -- while computing a solution. Thus we say that randomness is a resource in classical information theory; having a coin at hand that one can flip is a tangible asset. This is especially true when one wants to test a complex device or process: send it random inputs, and investigate how the outputs behave. We can also purposely introduce randomness into quantum information protocols and ask if this can make certain tasks easier. It turns out the answer is also yes, giving rise to the study, for example, of random quantum circuits, or random quantum error correcting codes. In the formalism of quantum mechanics these are expressed as random operators, rather than simple random numbers, but they can be thought of as resources for quantum information science in much the same way as in the classical case. However, both classically and quantumly, generating truly random resources is very difficult; one can imagine trying to encrypt terabytes of information by flipping a coin billions of times. In practice we rely on so-called pseudorandom resources that, given a finite amount of time or computing power, can never be distinguished from truly random. If we think of increasingly complex tests one might do to check for randomness, a pseudorandom resource will pass these tests up to a certain level of complexity (and fail beyond that). Such resources are much easier to create than truly random ones, and pseudorandom number generators are a cornerstone of today's information technologies. This research project aims to make pseudorandom resources available to quantum information technologies. In the quantum realm, the notion of pseudorandomness is captured by what are called quantum 't-designs'. These are resources -- ensembles of quantum operators -- that pass randomness tests up to some level of complexity (more precisely, t corresponds to the degree of a statistical moment). The project has two main components; the first will be a systematic study of the mathematical structure of t-designs, finding new ones along the way, and then optimising these resources for specific quantum technologies; at the University of Bristol a technology we focus on is integrated quantum photonics, and so the second part of this project will be to use our theoretical work to propose and perform quantum photonic experiments that demonstrate quantum pseudorandomness. Quantum technology is in its infancy, and this research will be an important early step in understanding and solving the problem of efficiently producing the randomness that is crucial to information science. In the short term, the results will be used to tackle challenging problems such as finding the best way to characterise increasingly complex quantum devices, like the ones being developed by hundreds of partners in the UK Quantum Technology Network. In the longer term, it will enable customised, plug-in pseudorandom resources for any quantum platform, which will be used in a multitude of future quantum information applications.

We aim to grow the world's leading centre for training in quantum engineering for the emerging quantum technology (QT) industry. We have designed this CDT in collaboration with a large number of academic and industry experts, and included as partners those who will add substantially to the training and cohort experience. Through this process a consistent picture of what industry wants in future quantum engineers emerged: people who can tackle the hardest intellectual challenges, recognising the end goal of their research, with an ability to move from fundamental physics towards the challenges of engineering and miniaturising practical systems, who understands the capabilities of other people (and why they are useful). Industry wants people with good decision-making, communication and management skills, with the ability to work across discipline boundaries (to a deadline and a budget!) and build interdisciplinary teams, with the ability to translate a problem from one domain to another. Relevant work experience, knowledge of entrepreneurship, industrial R&D operations and business practices are essential. By forming a hub of unrivalled international excellence in quantum information and photonics, surrounded by world-class expertise in all areas of underpinning science and technology and the scientific and technological application areas of QT, and a breadth of academic and industry partners, we will deliver a new type of training: quantum engineering. Bristol has exceptional international activity in the areas that surround the hub: from microelectronics and high performance computing to system engineering and quantum chemistry. The programme will be delivered in an innovative way-focussing particularly on cohort learning-and assessed by a variety of different means, some already in existence in Bristol. We believe that we are attempting something new and exciting that has the potential to attract and train the best students to ensure that the resulting capacity is world-class, thus providing real benefits to the UK economy.