Quantum entanglement and its role in complex quantum systems. Quantum entanglement - non-classical correlations in quantum states - is the physical resource at the heart of modern applications of quantum technology, such as absolutely secure communication, and teleportation of quantum states from one location to another. This project aims to deepen our theoretical understanding of entanglement by characterizing the type and amount of entanglement present in the ground and thermal states of a ge ....Quantum entanglement and its role in complex quantum systems. Quantum entanglement - non-classical correlations in quantum states - is the physical resource at the heart of modern applications of quantum technology, such as absolutely secure communication, and teleportation of quantum states from one location to another. This project aims to deepen our theoretical understanding of entanglement by characterizing the type and amount of entanglement present in the ground and thermal states of a general physical system. These results will enable us to study the central role entanglement plays in quantum phase transitions - the change of a physical system from one state of matter to another, different, state of matter, one with a truly quantum character.Read moreRead less
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
The fundamental equations for inversion of operator pencils. This project seeks to deepen understanding of how complex systems may be significantly changed by incremental changes to ambient conditions. Mathematical models of complex systems (climate change processes, optimal driving strategies, efficient distribution policies, effective search routines) often depend on key parameters. If small perturbations to the parameters cause large changes to the solution, then the perturbations are said to ....The fundamental equations for inversion of operator pencils. This project seeks to deepen understanding of how complex systems may be significantly changed by incremental changes to ambient conditions. Mathematical models of complex systems (climate change processes, optimal driving strategies, efficient distribution policies, effective search routines) often depend on key parameters. If small perturbations to the parameters cause large changes to the solution, then the perturbations are said to be singular. This project aims to reveal the underlying mathematical structures and develop new computational algorithms to analyse a general class of perturbed systems both locally near an isolated singularity and globally. It plans to use these algorithms to solve systems of equations, calculate generalised inverse operators, examine perturbed Markov processes, and estimate exit times from meta-stable states in stochastic population dynamics.Read moreRead less
A Virtual Electromagnetic Compatibility (EMC) Lab Based on Advanced Computer Modeling and Simulation Techniques. The proposed project will provide a framework of electromagnetic compatibility computer modelling technologies for an electromagnetic compatibility/electromagnetic interference problem-solving environment. It will result in theoretical and practical contributions to the field of electromagnetic compatibility/electromagnetic interference and computational electromagnetics. The project ....A Virtual Electromagnetic Compatibility (EMC) Lab Based on Advanced Computer Modeling and Simulation Techniques. The proposed project will provide a framework of electromagnetic compatibility computer modelling technologies for an electromagnetic compatibility/electromagnetic interference problem-solving environment. It will result in theoretical and practical contributions to the field of electromagnetic compatibility/electromagnetic interference and computational electromagnetics. The project will provide an innovative technology to industry and societies with following major benefits: a) increased productivity and minimized the product risk with low failure rate, b) quicker project management cycles through such cost-effective electromagnetic compatibility computer modelling and simulation techniques based virtual Electromagnetic Compatibility Lab. and c) improved electromagnetic compatibility/electromagnetic interference problem solving environment and techniques for scientific research and commercial applications.Read moreRead less
Secure and Efficient Cryptographic Hashing. This project will enhance information security, which is absolutely crucial for rapidly growing e-commerce, e-government services and for national security (Priority 4 -Safeguarding Australia - Protection against Terrorism and Crime). The project will strengthen international collaboration by reciprocal exchange of researchers and postgraduate students leading to more attractive and productive research environment. At the same time, the project will he ....Secure and Efficient Cryptographic Hashing. This project will enhance information security, which is absolutely crucial for rapidly growing e-commerce, e-government services and for national security (Priority 4 -Safeguarding Australia - Protection against Terrorism and Crime). The project will strengthen international collaboration by reciprocal exchange of researchers and postgraduate students leading to more attractive and productive research environment. At the same time, the project will help to maintain high research profile of Australian researchers, to increase the capacity for consultancy and contract work, and provide a cutting-edge information technology for the Australian telecommunications industry, business and government (Priority 3 - Frontier Technologies). Read moreRead less
Coarse Grained Parallel Algorithms. Various fields of research face barriers created by problems that are computationally hard and/or require processing of large amounts of data. For example, some computational biochemistry methods on protein or gene sequences can not be scaled up to data sets required for human health research because of performance problems. Parallel computing enables new research by increasing the size of solvable problems. In addition to fundamental parallel computing resear ....Coarse Grained Parallel Algorithms. Various fields of research face barriers created by problems that are computationally hard and/or require processing of large amounts of data. For example, some computational biochemistry methods on protein or gene sequences can not be scaled up to data sets required for human health research because of performance problems. Parallel computing enables new research by increasing the size of solvable problems. In addition to fundamental parallel computing research, this project studies parallel algorithms for structure-based drug design and protein-protein interaction prediction that will enable new biochemistry research, as well as parallel algorithms for data cubes that will help enable the next generation of very large data warehouses.Read moreRead less
Diffusion and transport of saltwater in coastal aquifers. Saltwater intrusion is a severe environmental problem in coastal regions of Australia, resulting in loss of agricultural land at an alarming rate. This project aims to develop a three-dimensional mathematical model for the simulation and prediction of saltwater intrusion into complex coastal aquifers based on recent advances in the theory of anomalous diffusion, stochastic modelling and numerical methods. The parameters of the model such ....Diffusion and transport of saltwater in coastal aquifers. Saltwater intrusion is a severe environmental problem in coastal regions of Australia, resulting in loss of agricultural land at an alarming rate. This project aims to develop a three-dimensional mathematical model for the simulation and prediction of saltwater intrusion into complex coastal aquifers based on recent advances in the theory of anomalous diffusion, stochastic modelling and numerical methods. The parameters of the model such as hydraulic conductivity and porosity will be estimated using multifractal techniques based on field data at the microscale. Once validated from measurements, the model will be used directly for resource management and planning.Read moreRead less
Supercomputer Simulation and Risk Evaluation of Tsunami Generation Induced by Earthquakes. New hotspot forecasts show that great earthquakes are likely to occur during the next decade in the Western Pacific north of New Zealand which potentially poses a tsunami risk to Australia. The project will enable this risk to be reliably assessed thereby providing the information needed to properly manage this risk thus addressing the national research priority: Safeguarding Australia. Building on extensi ....Supercomputer Simulation and Risk Evaluation of Tsunami Generation Induced by Earthquakes. New hotspot forecasts show that great earthquakes are likely to occur during the next decade in the Western Pacific north of New Zealand which potentially poses a tsunami risk to Australia. The project will enable this risk to be reliably assessed thereby providing the information needed to properly manage this risk thus addressing the national research priority: Safeguarding Australia. Building on extensive geo-data and Australia's forefront position in solid earth simulation via investment in the ACcESS Major National Research Facility, the project provides an opportunity for Australia to play a key role in constructing next generation real-time tsunami warning systems.Read moreRead less
Efficient Pre-Processing of Hard Problems: New Approaches, Basic Theory and Applications. Computers store even larger amounts of data about all aspects of human and industrial activity. However, they have not become significantly better at solving common problems in optimization and search. Traditional complexity theory indicates many of these problems require algorithms that are very unlikely to exist. The Parameterized Complexity approach allows us to obtain very efficient algorithms for a lar ....Efficient Pre-Processing of Hard Problems: New Approaches, Basic Theory and Applications. Computers store even larger amounts of data about all aspects of human and industrial activity. However, they have not become significantly better at solving common problems in optimization and search. Traditional complexity theory indicates many of these problems require algorithms that are very unlikely to exist. The Parameterized Complexity approach allows us to obtain very efficient algorithms for a large variety of problems, but the machinery required was diverse and complicated. This research will organize the machinery into a new approach that systematically finds good algorithms by applying simplifications around a parameter of the domain of the problem. As a result, efficient algorithms are obtained for many diverse areas.Read moreRead less
Generic complexity in computational topology: breaking through the bottlenecks. The project will focus on key computational problems in three-dimensional topology, with the aims of illuminating the theoretical limitations of such problems, developing new computational tools for solving them, and applying these tools to a variety of applications. The project will generate theoretical research, practical software, and rich experimental data.