Foundations of quantum cryptography for distribution of secret keys. Quantum cryptographic systems have the advantage of mathematically provable security and privacy, addressing security threats to communications as information and communications technologies proliferate. This project aims to quantify a quantum channel's capability for secure communications. This quantity provides the ultimate limit to benchmark practical quantum key distribution protocols for their performance. This will signif ....Foundations of quantum cryptography for distribution of secret keys. Quantum cryptographic systems have the advantage of mathematically provable security and privacy, addressing security threats to communications as information and communications technologies proliferate. This project aims to quantify a quantum channel's capability for secure communications. This quantity provides the ultimate limit to benchmark practical quantum key distribution protocols for their performance. This will significantly advance the theory of quantum cryptography and knowledge of the fundamental resource of secret keys. It is expected to have immediate application for the classical security of existing (non-quantum) communication devices, and benefit security, military, government, industry, individuals, and the community.Read moreRead less
Quantum effects in zero-error communication. This project will establish a systematic quantum zero-error information theory to build highly reliable quantum communications networks. This innovative, breakthrough technology will advance research into the physical realisation of quantum communication. It has global implications and will promote Australia's position in this new research field.
A mathematical foundation and novel solutions for highly secure communications. This project will deliver novel solutions to security and privacy in communication networks by exploring the power of quantum information with mathematical tools from operator stuctures. It will significantly advance our knowledge about quantum communication, with expected benefits on Australian social, economic and even military security.
Special Research Initiatives - Grant ID: SR0354741
Funder
Australian Research Council
Funding Amount
$10,000.00
Summary
Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies. This Initiative will bring together leading researchers with complementary expertise in mathematics and the enabling sciences to form a Network fostering world leading fundamental research and innovation in quantum many-body systems. The collaborative effort between mathematicians with powerful and sophisticated new techniques and physicists and chemists with deep insight into the challenges and opportunities of t ....Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies. This Initiative will bring together leading researchers with complementary expertise in mathematics and the enabling sciences to form a Network fostering world leading fundamental research and innovation in quantum many-body systems. The collaborative effort between mathematicians with powerful and sophisticated new techniques and physicists and chemists with deep insight into the challenges and opportunities of the quantum realm will lead to breakthrough science of vital importance to the development of frontier technologies in Australia. This Network will also place a strong emphasis on research training, the mentoring of early career researchers and establishing collaborations with leading international research groups and networks.
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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.
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
Australian Laureate Fellowships - Grant ID: FL120100094
Funder
Australian Research Council
Funding Amount
$3,184,657.00
Summary
Geometric construction of critical solutions of nonlinear systems. Whether we are looking at waves on a beach, the dispersal of herds of animals in a landscape, or the interaction of black holes, their patterns of movement rely on rules expressed by non-linear mathematical models. This project will aim to create new mathematical methods to describe the solutions of non-linear systems, which are ubiquitous in modern science.
Critical solutions of nonlinear systems. Whether we are looking at waves on a beach, the dispersal of herds of animals in a landscape, or the interaction of black holes, their patterns of movement rely on rules expressed by nonlinear mathematical models. This project aims to create new mathematical methods to describe critical solutions of nonlinear systems, which are ubiquitous in modern science.
Algebraic interpretations of discrete integrable equations. The important mathematical disciplines of discrete geometry on one hand, and structure in discrete non-linear dynamics known as integrability on the other, have an emerging and fruitful interrelation. This project will construct a new algebraic framework in order to better understand and exploit this point of intersection.