Quantum steering, nonlocality and foundations. This project aims at answering foundational questions that will help further our understanding of quantum mechanics---a scientific discipline with proven track record of technological output of great impact in modern society and a huge potential for future developments such as quantum computation and communication. There is a global trend towards interest in quantum foundations, and Australia is already a world leader in the closely related fields o ....Quantum steering, nonlocality and foundations. This project aims at answering foundational questions that will help further our understanding of quantum mechanics---a scientific discipline with proven track record of technological output of great impact in modern society and a huge potential for future developments such as quantum computation and communication. There is a global trend towards interest in quantum foundations, and Australia is already a world leader in the closely related fields of quantum information and quantum-atom optics. Funding of this project will help strengthen and consolidate Australia's position as a world leader in the foundations of quantum mechanics.Read moreRead less
Decoherence and Quantum Simulations of Spin-Environment systems. The effort to develop quantum technologies relies on our ability to understand and manipulate quantum mechanical objects with great precision. In order to do this, we need to study how such systems interact with their surroundings. Solid-state quantum systems connected to an environment show a rich range of phenomena, such as quantum phase transitions, which are interesting in their own right. This work will better enable experi ....Decoherence and Quantum Simulations of Spin-Environment systems. The effort to develop quantum technologies relies on our ability to understand and manipulate quantum mechanical objects with great precision. In order to do this, we need to study how such systems interact with their surroundings. Solid-state quantum systems connected to an environment show a rich range of phenomena, such as quantum phase transitions, which are interesting in their own right. This work will better enable experimentalists to develop the techniques required for the future of quantum technology.Read moreRead less
Decoherence in quantum computing and quantum electromechanical systems. Australia is one of the world leaders in fundamental studies and implementation of quantum computing and quantum electromechanical systems. By developing a framework to quantify and control noise due to decoherence in such systems, this research will facilitate progress in the development and understanding of quantum computing and quantum electromechanical devices. The project will also significantly strengthen the general r ....Decoherence in quantum computing and quantum electromechanical systems. Australia is one of the world leaders in fundamental studies and implementation of quantum computing and quantum electromechanical systems. By developing a framework to quantify and control noise due to decoherence in such systems, this research will facilitate progress in the development and understanding of quantum computing and quantum electromechanical devices. The project will also significantly strengthen the general representation of research on decoherence, a field of crucial importance to many areas of theoretical and experimental physics, in Australia. Funding of this project will enable Australia to further expand its leading position in cutting-edge science and next-generation technology.
Read moreRead less
Principles of quantum nanotechnology. Quantum physics in the last two decades has blazed an entry path for a new technology based on manipulating matter and light at the quantum level. In this project I will formulate principles for emerging quantum nanotechnologies: quantum electromechanical systems (QEMS), quantum molecular electronics, quantum optics and coherent matter physics. The principle applications to be investigated include: quantum control, quantum metrology, quantum communication a ....Principles of quantum nanotechnology. Quantum physics in the last two decades has blazed an entry path for a new technology based on manipulating matter and light at the quantum level. In this project I will formulate principles for emerging quantum nanotechnologies: quantum electromechanical systems (QEMS), quantum molecular electronics, quantum optics and coherent matter physics. The principle applications to be investigated include: quantum control, quantum metrology, quantum communication and quantum information processing. The project will be an essential part of two major multi-institutional international research projects; one based in the US (in QEMS) and one EU-based project in quantum metrology.Read moreRead less
Centre for Quantum Computer Technology. Development of a quantum computer (QC) for massively parallel computing is one of the major challenges in science and engineering this century. Since 2000 the Centre has achieved two major breakthroughs in this field: constructing the key functional element of a silicon solid-state QC; and co-inventing a scheme for efficient linear optics QC. The proposed CoE aims to align these two nationally co-ordinated research programs with the world's existing comput ....Centre for Quantum Computer Technology. Development of a quantum computer (QC) for massively parallel computing is one of the major challenges in science and engineering this century. Since 2000 the Centre has achieved two major breakthroughs in this field: constructing the key functional element of a silicon solid-state QC; and co-inventing a scheme for efficient linear optics QC. The proposed CoE aims to align these two nationally co-ordinated research programs with the world's existing computer and IT industries to realise a fault-tolerant multiple qubit quantum processor with integrated control and qubit chips, and develop a scaleable optical quantum processor providing significant economic benefit to Australia.Read moreRead less
From superintegrability to quasi-exact solvability: theory and application. This project aims to develop mathematical techniques to resolve longstanding problems in the area of integrability and exact solvability. Quantum integrable systems and exact solvable models are of central importance for understanding the correct behaviours of complex quantum problems without approximation. This project aims to construct sophisticated mathematical tools to settle key questions across a variety of models ....From superintegrability to quasi-exact solvability: theory and application. This project aims to develop mathematical techniques to resolve longstanding problems in the area of integrability and exact solvability. Quantum integrable systems and exact solvable models are of central importance for understanding the correct behaviours of complex quantum problems without approximation. This project aims to construct sophisticated mathematical tools to settle key questions across a variety of models such as superintegrable systems, quantum spin chains, and spin-boson models. Anticipated applications of the proposed research include the accurate prediction of physical phenomena, from energy spectra to quantum correlations. Such advances should have significant ramifications, and provide benefits, well beyond the mathematical discipline itself.Read moreRead less
Representation theory of diagram algebras and logarithmic conformal field theory. Generalized models of polymers and percolation are notoriously difficult to handle mathematically, but can be described and solved using diagram algebras and logarithmic conformal field theory. Potential applications include polymer-like materials, filtering of drinking water, spatial spread of epidemics and bushfires, and tertiary recovery of oil.
Indecomposable representation theory. The project aims to develop a systematic approach to the study and application of indecomposable representations in pure mathematics and mathematical physics. Indecomposability is a central concept in representation theory and is thus fundamental to a wide range of applications in science. Examples of important contexts considered are diagram algebras and finite and infinite-dimensional Lie algebras including the Virasoro algebra underlying conformal field t ....Indecomposable representation theory. The project aims to develop a systematic approach to the study and application of indecomposable representations in pure mathematics and mathematical physics. Indecomposability is a central concept in representation theory and is thus fundamental to a wide range of applications in science. Examples of important contexts considered are diagram algebras and finite and infinite-dimensional Lie algebras including the Virasoro algebra underlying conformal field theory. Linear algebra is a ubiquitous mathematical tool playing a pivotal role in representation theory, and the project aims to resolve outstanding fundamental issues concerning families of so-called non-diagonalisable matrices.Read moreRead less
Quantum control designed from broken integrability. This Project aims to open new avenues in quantum device engineering design. This will be achieved through the use of advanced mathematical methodologies developed around the notion of quantum integrability, and the breaking of that integrability. The expert team of Investigators will capitalise on their recent achievements in this field, which includes a first example of a quantum switch designed through broken integrability. The expected outco ....Quantum control designed from broken integrability. This Project aims to open new avenues in quantum device engineering design. This will be achieved through the use of advanced mathematical methodologies developed around the notion of quantum integrability, and the breaking of that integrability. The expert team of Investigators will capitalise on their recent achievements in this field, which includes a first example of a quantum switch designed through broken integrability. The expected outcomes will encompass novel applications of abstract mathematical physics towards the concrete control of quantum mechanical architectures. These outcomes will promote new opportunities for the construction of atomtronic devices, which are rising as a foundation for next-generation quantum technologies.
Read moreRead less
Mathematical models for disordered critical point theories. This project sets up a team to develop innovative techniques for fundamental advances in critical behaviour of disordered systems including the Nobel Prize winning integer quantum Hall effect. It will yield new mathematical models for disordered critical point theories, essential for the theoretical analysis of associated emerging technologies.