Modular Index Theory. This project capitilises on Australian advances in mathematics, particularly noncommutative geometry. It will maintain and extend Australia's prominence in this subject, providing excellent opportunities for young researchers via the research networks this project will establish. Being at the interface of ideas in mathematics and physics, there is potential for future technological spin offs for Australia.
Robust and Distributed Control of Quantum Systems. Australia has considerable strengths in quantum technology research. As these technologies advance, the issue of control and in particular feedback control becomes a critical one. This research project will strengthen Australia's position in quantum technology by developing new methodologies for designing high performance robust and distributed feedback controllers for quantum systems. The project will also add to Australia's strength in quantum ....Robust and Distributed Control of Quantum Systems. Australia has considerable strengths in quantum technology research. As these technologies advance, the issue of control and in particular feedback control becomes a critical one. This research project will strengthen Australia's position in quantum technology by developing new methodologies for designing high performance robust and distributed feedback controllers for quantum systems. The project will also add to Australia's strength in quantum technology by contributing to the research training of young researchers with expertise both in control systems engineering and quantum technology. This project will help Australia reap the maximum possible benefit from the new industries to emerge from the field of quantum technology.Read moreRead less
Robust Feedback Control in Quantum Technology. Australia has considerable strengths in quantum technology research. As these technologies advance, the issue of control and in particular feedback control becomes a critical one. This research project will strengthen Australia's position in quantum technology by developing new methodologies for designing high performance robust feedback controllers for quantum systems. The project will also add to Australia's strength in quantum technology by contr ....Robust Feedback Control in Quantum Technology. Australia has considerable strengths in quantum technology research. As these technologies advance, the issue of control and in particular feedback control becomes a critical one. This research project will strengthen Australia's position in quantum technology by developing new methodologies for designing high performance robust feedback controllers for quantum systems. The project will also add to Australia's strength in quantum technology by contributing to the research training of young researchers with expertise both in control systems engineering and quantum technology. This project will help Australia reap the maximum possible benefit from the new industries to emerge from the field of quantum technology.
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New quantum and robust control theory with applications to quantum optics. The application of quantum mechanics to the creation of quantum technology promises to be one of the most exciting technological developments of this century. Possible applications of quantum technologies include vastly improved sensors to search for minerals or gravity waves, secure quantum cryptography, and quantum computing. Quantum feedback control is a key tool in quantum technology. This project will lay the fou ....New quantum and robust control theory with applications to quantum optics. The application of quantum mechanics to the creation of quantum technology promises to be one of the most exciting technological developments of this century. Possible applications of quantum technologies include vastly improved sensors to search for minerals or gravity waves, secure quantum cryptography, and quantum computing. Quantum feedback control is a key tool in quantum technology. This project will lay the foundations of systematic theories of robust, coherent and nonlinear quantum feedback control and lead to advances in the control of highly resonant systems which underlie experimental quantum and nano technology. This will enable Australia to reap great benefits as this new technological area emerges.Read moreRead less
Special Research Initiatives - Grant ID: SR0354636
Funder
Australian Research Council
Funding Amount
$30,000.00
Summary
Australian Computational Molecular Science Network. Computational Molecular Science (CMS) involves the use of theory and computational methods to simulate and visualise molecular systems ranging from small atmospheric species to proteins, nucleic acids, chemical polymers and materials. It represents our most incisive expression of what we understand about the molecular basis of nature. The CMS network will integrate and cross-fertilize both fundamental and application-based expertize in molecula ....Australian Computational Molecular Science Network. Computational Molecular Science (CMS) involves the use of theory and computational methods to simulate and visualise molecular systems ranging from small atmospheric species to proteins, nucleic acids, chemical polymers and materials. It represents our most incisive expression of what we understand about the molecular basis of nature. The CMS network will integrate and cross-fertilize both fundamental and application-based expertize in molecular scale computations in the fields of nanoscience, biomaterials, biotechnology, biomedical science and environmental science. It will uncover and explore critical new interdisciplinary science and create new molecular-based paradigms that will drive advances in these fields over the next decade.Read moreRead less
Special Research Initiatives - Grant ID: SR0354553
Funder
Australian Research Council
Funding Amount
$30,000.00
Summary
Network on Control, Dynamics and Systems (NCDS). Control systems theory provides principles and methods for design of complex engineering systems that automatically maintain desired performance despite changes in their environment (e.g. autopilot in an aircraft). This field is facing many new exciting challenges at the dawn of new millenium, such as design of complex engineering systems in possibly networked, asynchronous and distributed environments. The network will play a major role in addres ....Network on Control, Dynamics and Systems (NCDS). Control systems theory provides principles and methods for design of complex engineering systems that automatically maintain desired performance despite changes in their environment (e.g. autopilot in an aircraft). This field is facing many new exciting challenges at the dawn of new millenium, such as design of complex engineering systems in possibly networked, asynchronous and distributed environments. The network will play a major role in addressing these challenges by providing a national research focus, facilitating collaboration and the sharing of people and ideas. By delivering a National Graduate School, the network will enhance learning conditions for graduate students. Moreover, it will provide an important catalyst between Australian universities and industry. This initiative will be essential in assessing the present state of control research in Australia and drafting a detailed plan for the network's leading research role in the future. Read moreRead less
Relative quantum information theory. Quantum information encoded in relative degrees of freedom of multiple quantum systems offers striking advantages in communication and cryptography: it is immune to common types of noise and does not require reference systems shared between parties. This project aims to formulate a theory of relative quantum information, to develop practical information processing protocols that take advantage of relative encodings, and to propose proof-of-principle experim ....Relative quantum information theory. Quantum information encoded in relative degrees of freedom of multiple quantum systems offers striking advantages in communication and cryptography: it is immune to common types of noise and does not require reference systems shared between parties. This project aims to formulate a theory of relative quantum information, to develop practical information processing protocols that take advantage of relative encodings, and to propose proof-of-principle experiments in quantum optics that reveal these advantages. Expected outcomes include powerful communication and cryptographic protocols, a design for programmable quantum computation, and a fundamentally relative theory of quantum information connecting with other foundational fields of physics.Read moreRead less
Nonlinear Dynamics of Pulse Coupled Oscillators. A mathematical model of the heart pacemaker system will be created, based on simple interacting units. These units have been shown to be good models of physiological information e.g. the discrimination of different influences on heart rate. We will firstly look at the interaction of the units in simple combinations and then tune the model to mimic the behaviour of the cardiac pacemaker.
Potential benefits may arise from elucidating the mechanis ....Nonlinear Dynamics of Pulse Coupled Oscillators. A mathematical model of the heart pacemaker system will be created, based on simple interacting units. These units have been shown to be good models of physiological information e.g. the discrimination of different influences on heart rate. We will firstly look at the interaction of the units in simple combinations and then tune the model to mimic the behaviour of the cardiac pacemaker.
Potential benefits may arise from elucidating the mechanisms underlying arrhythmias which contribute to ?sudden cardiac death? in young men, and suggesting strategies for artificial pacemakers to effectively arrest abnormal rhythms before they convert to potentially fatal fibrillation.Read moreRead less
Geometry and representations of classical and quantum Lie supergroups. The physical notion of supersymmetry is a unifying principle which ensures that bosonic and fermionic particles in quantum physics obey the same fundamental laws. It has permeated the forefront of mathematical research since 1980s, leading to the creation of some of the deepest theories in diverse areas. The mathematical foundation of supersymmetry lies in the theory of Lie supergroups. This project addresses major outstandin ....Geometry and representations of classical and quantum Lie supergroups. The physical notion of supersymmetry is a unifying principle which ensures that bosonic and fermionic particles in quantum physics obey the same fundamental laws. It has permeated the forefront of mathematical research since 1980s, leading to the creation of some of the deepest theories in diverse areas. The mathematical foundation of supersymmetry lies in the theory of Lie supergroups. This project addresses major outstanding problems in the geometry and representations of Lie supergroups and their quantum analogues. Results will be important to the quest for a consistent quantum theory of all the four interactions in nature.Read moreRead less
Infinite Dimensional Unitarizable Representations of Lie Superalgebras. The project addresses major outstanding mathematical problems, which are of fundamental importance to the development of a unified theory of all four interactions in quantum physics. Mathematics is essential for the understanding of our own rationality. Advances in the field promised by this project are of intrinsic value. Physics is the foundation of modern technology. Success of the project will help to create a scientif ....Infinite Dimensional Unitarizable Representations of Lie Superalgebras. The project addresses major outstanding mathematical problems, which are of fundamental importance to the development of a unified theory of all four interactions in quantum physics. Mathematics is essential for the understanding of our own rationality. Advances in the field promised by this project are of intrinsic value. Physics is the foundation of modern technology. Success of the project will help to create a scientific environment in Australia that fosters technological creativity and innovation. Results of the project will greatly enhance the scientific reputation of Australia internationally, attracting foreign researchers and Ph.D students to Australian shores. Read moreRead less