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
A new theory for retinotectal map formation. How brains become wired up during development is a question of
importance to both biology and computing. In this project we adopt a
novel computational approach to understanding the development of
topographic maps, a wiring pattern that is ubiquitous in biological
nervous systems. This project will build capacity for research in
computational neuroscience in Australia. It may also lead to
technological benefits such as new ideas for the design o ....A new theory for retinotectal map formation. How brains become wired up during development is a question of
importance to both biology and computing. In this project we adopt a
novel computational approach to understanding the development of
topographic maps, a wiring pattern that is ubiquitous in biological
nervous systems. This project will build capacity for research in
computational neuroscience in Australia. It may also lead to
technological benefits such as new ideas for the design of self-wiring
computing devices, and new insights into
the causes of wiring defects both during normal development and
rewiring after injury.
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Wiring up the nervous system: how do axons detect molecular gradients? This project will improve our understanding of how the nervous system
becomes wired up during development. This will ultimately allow better
therapies for some types of developmental disorders, and for repairing
damaged connections for instance in the spinal cord. The theoretical
models developed will improve our understanding of the computations
necessary to generate appropriate wiring of the nervous system, which
may ....Wiring up the nervous system: how do axons detect molecular gradients? This project will improve our understanding of how the nervous system
becomes wired up during development. This will ultimately allow better
therapies for some types of developmental disorders, and for repairing
damaged connections for instance in the spinal cord. The theoretical
models developed will improve our understanding of the computations
necessary to generate appropriate wiring of the nervous system, which
may facilitate the development of self-organizing computing
devices. The project will also provide unique research training at the
interface of biology and computation, building capacity for such
interdisciplinary research throughout Australia.
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Unsupervised learning of finite mixture models in data mining applications. The extraction of useful information from massively large databases is known as data mining. Its broad but vague goal is to find "interesting structure" in the data, which typically leads to breaking the data into clusters. To this end, we consider the fast, efficient, and automatic learning of finite mixture models in hugh data sets without any prior knowledge of the structure. This probabilistic approach to the discove ....Unsupervised learning of finite mixture models in data mining applications. The extraction of useful information from massively large databases is known as data mining. Its broad but vague goal is to find "interesting structure" in the data, which typically leads to breaking the data into clusters. To this end, we consider the fast, efficient, and automatic learning of finite mixture models in hugh data sets without any prior knowledge of the structure. This probabilistic approach to the discovery and validation of group structure in data mining applications will considerably enhance knowledge management and decision support in science, industry, and government.
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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