Principles of Quantum Information Science. The use of quantum mechanical systems to carry and process information is enabling a revolution in information technology through innovations such as quantum computation and quantum teleportation. This project investigates the fundamental theory of quantum information science. The project aims to formulate general principles governing the power and behaviour of quantum information. These principles will, in turn, enable the development of powerful new ....Principles of Quantum Information Science. The use of quantum mechanical systems to carry and process information is enabling a revolution in information technology through innovations such as quantum computation and quantum teleportation. This project investigates the fundamental theory of quantum information science. The project aims to formulate general principles governing the power and behaviour of quantum information. These principles will, in turn, enable the development of powerful new applications of quantum information. Principal areas to be addressed include: general conditions for a physical system to be usable for quantum computation, the development of new algorithms for quantum computers, the development of new quantum communication protocols, and the theory of quantum entanglement.Read moreRead less
COMPLEX NETWORKS: DYNAMICS, OPTIMIZATION AND CONTROL. Complex networks such large power grids, the Internet, transportation networks and co-operation networks of all kinds provide challenges for frontier technologies particularly computing, communication and control. In particular, advanced societies have become dependent on large infrastructure networks to an extent beyond our capability to plan and control them. The recent spate of collapses in power grids and virus attacks on the Internet i ....COMPLEX NETWORKS: DYNAMICS, OPTIMIZATION AND CONTROL. Complex networks such large power grids, the Internet, transportation networks and co-operation networks of all kinds provide challenges for frontier technologies particularly computing, communication and control. In particular, advanced societies have become dependent on large infrastructure networks to an extent beyond our capability to plan and control them. The recent spate of collapses in power grids and virus attacks on the Internet illustrate the need for research on modelling, analysis of behaviour, planning and control in such networks. This project aims to establish research in this area for Australia's benefit.Read moreRead less
Exploring the Frontiers of Feasible Computation. The project aims to delineate the boundary between feasible and infeasible computational problems. A problem is considered feasible if there is an algorithm to solve it in worst-case time bounded by a polynomial in the input size. This is probably impossible for the important class of NP-complete problems. However, typical examples of NP-complete problems can often be solved in polynomial time, because worst-case problems are rare. The project is ....Exploring the Frontiers of Feasible Computation. The project aims to delineate the boundary between feasible and infeasible computational problems. A problem is considered feasible if there is an algorithm to solve it in worst-case time bounded by a polynomial in the input size. This is probably impossible for the important class of NP-complete problems. However, typical examples of NP-complete problems can often be solved in polynomial time, because worst-case problems are rare. The project is relevant to public-key cryptography, where breaking an encryption scheme should be infeasible, and to many real-life situations where NP-complete problems need to be solved, either exactly or approximately.Read moreRead less
lll-conditioned and constrained inverse problems in Signal Processing, Telecommunications and Control. Aims: To carry out fundamental research on methods for understanding and solving inverse problems in signal processin, telecommunications and control. To translate these fundamental results into practical outcomes of importance to Australian Industry.
Significance: Signal Processing, Telecommunications and Control are core technologies for all modern societies. The research proposed here ....lll-conditioned and constrained inverse problems in Signal Processing, Telecommunications and Control. Aims: To carry out fundamental research on methods for understanding and solving inverse problems in signal processin, telecommunications and control. To translate these fundamental results into practical outcomes of importance to Australian Industry.
Significance: Signal Processing, Telecommunications and Control are core technologies for all modern societies. The research proposed here will generate new methods for designing and understanding key algorithms in these areas. Particular emphasis will be placed on difficult problems involving ill-conditioned inverses or those having hard constraints that must be satisfied.
Expected Outcomes: A prime outcome will be fundamental research results at the highest international level. This will be accompanied by top level refereed publications and books. There will also be direct and tangible benefits to Australian industry.Read moreRead less
Group actions: combinatorics, geometry and computation. Science today relies on digital technologies using quantised and digital information. Because of the discrete nature of digital information, much of the mathematics underpinning these advances comes from the core disciplines of algebra and combinatorics within which this proposal falls. All aspects of the proposal focus on strengthening theoretical understanding of algebraic and combinatorial structures, and increasing computational power f ....Group actions: combinatorics, geometry and computation. Science today relies on digital technologies using quantised and digital information. Because of the discrete nature of digital information, much of the mathematics underpinning these advances comes from the core disciplines of algebra and combinatorics within which this proposal falls. All aspects of the proposal focus on strengthening theoretical understanding of algebraic and combinatorial structures, and increasing computational power for working with them. The fundamental research outcomes, in terms of theorems, algorithms, and the training of young research mathematicians, will thus both enhance the high international standing of Australian mathematics, and strengthen Australia's capabilities in these important areas.Read moreRead less
Language, belief formation and visual cognition: cognitive and neuropsychological investigations. I will direct a programme of research and research training in cognitive science and cognitive neuropsychology at macquarie universtiy, with international collaborative links to the USA, Canada, France, Italy, Spain, Germany & New Zealand. This programme of research and research training will initially focus on
a)how people understand and produce language, and how these capabilities can break down ....Language, belief formation and visual cognition: cognitive and neuropsychological investigations. I will direct a programme of research and research training in cognitive science and cognitive neuropsychology at macquarie universtiy, with international collaborative links to the USA, Canada, France, Italy, Spain, Germany & New Zealand. This programme of research and research training will initially focus on
a)how people understand and produce language, and how these capabilities can break down after brain damage;
b)The relationship between visual memory and reading; and
c)The nature of the delusions seen in schizophrenia and other disorders, and what causes these delusions.Read moreRead less
Long-term memory systems and the human brain. Impairment of memory is a ubiquitous feature of human brain disease. A better understanding of memory processing in the brain is key to the development of better tests for the detection and monitoring of disease progression as well as the application of improved methods of rehabilitation for patients with acquired brain injury. This project will provide the catalyst for the development of a National Memory Disorders Research Centre that would be the ....Long-term memory systems and the human brain. Impairment of memory is a ubiquitous feature of human brain disease. A better understanding of memory processing in the brain is key to the development of better tests for the detection and monitoring of disease progression as well as the application of improved methods of rehabilitation for patients with acquired brain injury. This project will provide the catalyst for the development of a National Memory Disorders Research Centre that would be the focus for multidisciplinary cognitive neuroscience research. The ultimate aim would be the translation of basic neuroscience into effective tools that will impact the health outcome of the ageing population.Read moreRead less
Human long-term memory and social cognition: an integrated cognitive neuroscience approach. Impairment of memory is a ubiquitous feature of the dementias and a better understanding of memory processing in the brain is key to the development of better tests for the early detection and monitoring of disease progression. The study of social cognition is relevant to a range of developmental, psychiatric and neurological disorders. This project will provide the catalyst for the development of a Natio ....Human long-term memory and social cognition: an integrated cognitive neuroscience approach. Impairment of memory is a ubiquitous feature of the dementias and a better understanding of memory processing in the brain is key to the development of better tests for the early detection and monitoring of disease progression. The study of social cognition is relevant to a range of developmental, psychiatric and neurological disorders. This project will provide the catalyst for the development of a National Memory and Cognitive Disorders Centre that would be the focus for multidisciplinary cognitive neuroscience research. The ultimate aim would be the translation of basic neuroscience into effective tools that will impact the health outcomes of the ageing population.Read moreRead less
Cellular Plasticity in the Brain: discovering molecular mechanisms controlling the production of neurons during brain development, function, ageing and disease. The program aims to understand the mechanisms regulating Brain Plasticity - this recently discovered property of the brain to respond to environmental stimuli, both physiological and pathological, by producing new functional neurons. Specifically, the program will discover how the brain's stem cells are stimulated to produce new neurons. ....Cellular Plasticity in the Brain: discovering molecular mechanisms controlling the production of neurons during brain development, function, ageing and disease. The program aims to understand the mechanisms regulating Brain Plasticity - this recently discovered property of the brain to respond to environmental stimuli, both physiological and pathological, by producing new functional neurons. Specifically, the program will discover how the brain's stem cells are stimulated to produce new neurons. This understanding will significantly expand our knowledge of how the brain develops, and how functions, like memory, are modulated by neuronal replacement. Discoveries will underpin the development of, in association with Australia's biotechnology sector, a new generation of therapeutics, which treat neurological diseases, like Stroke, by stimulating the production of functional neurons.Read moreRead less