Discrete integrable systems. Discrete integrable systems are a fundamental generalisation of traditional integrable systems. This project, combining 5 world experts from 3 countries and 2 early career researchers, will expand and systematise this new interdisciplinary field, and will place Australia at the forefront of this intensive international activity.
Finite dimensional integrable systems and differential geometry. Mathematical models of many processes in science (physics, engineering) and in the real world (nature, economics) are governed by complicated systems of differential equations. An important, distinguished class of such models is described by integrable systems, the systems for which one can provide a comprehensive qualitative picture, and in many cases, a complete solution. Using recently developed, powerful methods of integrable s ....Finite dimensional integrable systems and differential geometry. Mathematical models of many processes in science (physics, engineering) and in the real world (nature, economics) are governed by complicated systems of differential equations. An important, distinguished class of such models is described by integrable systems, the systems for which one can provide a comprehensive qualitative picture, and in many cases, a complete solution. Using recently developed, powerful methods of integrable systems and differential geometry, this project will focus on a range of important, interconnected theoretical problems in both disciplines. The expected outcomes will provide new, deep, mathematically and physically significant results which will lead to applications and developments across a range of fields.Read moreRead less
New Frontiers and Advances in Discrete Integrable Systems. Integrable systems boast a long and venerable history, and have such famous members as the Kepler system, the Korteweg-de Vries equation, and the sine-Gordon equation. More recently, interest in integrable systems has expanded to include systems with discrete time, that is, ordinary difference equations (or maps) and integrable partial difference equations. These discrete integrable systems are arguably more fundamental than the continuo ....New Frontiers and Advances in Discrete Integrable Systems. Integrable systems boast a long and venerable history, and have such famous members as the Kepler system, the Korteweg-de Vries equation, and the sine-Gordon equation. More recently, interest in integrable systems has expanded to include systems with discrete time, that is, ordinary difference equations (or maps) and integrable partial difference equations. These discrete integrable systems are arguably more fundamental than the continuous-time ones. Based upon recent breakthroughs this study will combine analysis, geometry, and computer algebra to expand and systematise this new interdisciplinary field of discrete integrable systems.Read moreRead less
Quantum measurement as a resource. Advanced quantum computers will use modular measurements significantly enhancing their capabilities. However, due to the noisy environment, the measurements may have nontrivial effects on the computation. Making best use of realistic (hence imperfect) measurements is a challenging problem that hinders the development of these technologies. This project, using modern tools of resource theory, aims to design optimal realistic measurement procedures for near-term ....Quantum measurement as a resource. Advanced quantum computers will use modular measurements significantly enhancing their capabilities. However, due to the noisy environment, the measurements may have nontrivial effects on the computation. Making best use of realistic (hence imperfect) measurements is a challenging problem that hinders the development of these technologies. This project, using modern tools of resource theory, aims to design optimal realistic measurement procedures for near-term noisy quantum devices. The expected outcomes of the project are refined methods to optimise quantum measurements in today's rudimentary quantum machines. This will provide a significant benefit to the Australian community, advancing the development of disruptive quantum technologies.Read moreRead less
Outmaneuvering correlated noise in quantum computers. The project aims to characterise and control quantum machines available today. These machines overwhelmingly suffer from noise with complex structures. Thus, a key target of the project is to develop a theory to describe and manipulate complex quantum processes. The project then intends to apply this theory to commercial-grade quantum computers. This approach is anticipated to lead to a new understanding of time-correlated complex quantum pro ....Outmaneuvering correlated noise in quantum computers. The project aims to characterise and control quantum machines available today. These machines overwhelmingly suffer from noise with complex structures. Thus, a key target of the project is to develop a theory to describe and manipulate complex quantum processes. The project then intends to apply this theory to commercial-grade quantum computers. This approach is anticipated to lead to a new understanding of time-correlated complex quantum processes and develop methods to enhance the performance of today's quantum computers. Noise characterisation and mitigation should have commercial value and benefit research groups working to develop quantum technologies, both in Australia and internationally.Read moreRead less
Crossing quantum-classical boundaries in a single particle. This project is aimed at constructing and observing an individual quantum system that can exhibit chaotic behaviour under controllable conditions. It is a long-sought goal of modern physics that can become reality for the first time in the world, thanks to the unique availability in Australia of the most quantum-coherent single spin ever made and a long history of theoretical advances in the field. Turning a spin into a chaotic system w ....Crossing quantum-classical boundaries in a single particle. This project is aimed at constructing and observing an individual quantum system that can exhibit chaotic behaviour under controllable conditions. It is a long-sought goal of modern physics that can become reality for the first time in the world, thanks to the unique availability in Australia of the most quantum-coherent single spin ever made and a long history of theoretical advances in the field. Turning a spin into a chaotic system will uncover the true nature of the quantum-classical boundary, and verify whether an underlying classical chaotic dynamics ultimately influences the behaviour of quantum systems. It is expected that the discoveries made will illuminate the path towards the technological exploitation of increasingly complex quantum devices.Read moreRead less
Diamond Single Photon Source. This project will enhance Australia's international profile in the area of quantum technology and will link, for the first time, diamond single photon capability with fibre optics technology, building on the strengths of both fields. The innovative steps in photonics and materials science which we are initiating place us in a unique position to exploit the emerging niche market for single photon sources. A provisional patent application for this technology is bein ....Diamond Single Photon Source. This project will enhance Australia's international profile in the area of quantum technology and will link, for the first time, diamond single photon capability with fibre optics technology, building on the strengths of both fields. The innovative steps in photonics and materials science which we are initiating place us in a unique position to exploit the emerging niche market for single photon sources. A provisional patent application for this technology is being lodged by the applicant and University of Melbourne colleagues in conjunction with QUCOR Pty Ltd. Success in researching and developing this device will help consolidate Australia's reputation as a global contributor to leading edge science and technology. Read moreRead less
Foundation technology for quantum measurement, sensing and computing. This project will advance quantum control of cold ions, atoms and diamond colour centres for application of quantum science to high-tech problems, from ion-based quantum computing to diamond-based quantum imaging inside living cells.
Optical technology for quantum science. This project aims to develop and commercialise optical cavity and frequency stabilisation technology to generate laser light at new and precise wavelengths. Australia plays a leading role internationally in quantum science, a burgeoning area of research where fundamental quantum mechanical principles underpin exciting new technological applications, such as ion-based quantum computing, ultracold atom sensing for geo-exploration and defence, and nanoscale i ....Optical technology for quantum science. This project aims to develop and commercialise optical cavity and frequency stabilisation technology to generate laser light at new and precise wavelengths. Australia plays a leading role internationally in quantum science, a burgeoning area of research where fundamental quantum mechanical principles underpin exciting new technological applications, such as ion-based quantum computing, ultracold atom sensing for geo-exploration and defence, and nanoscale imaging inside living human cells. This project aims to continue and develop this role.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