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Australian State/Territory : QLD
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Research Topic : Probability Theory
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  • Researchers (16)
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  • Funded Activity

    Discovery Projects - Grant ID: DP0346187

    Funder
    Australian Research Council
    Funding Amount
    $475,000.00
    Summary
    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.
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    Funded Activity

    Federation Fellowships - Grant ID: FF0455782

    Funder
    Australian Research Council
    Funding Amount
    $1,519,710.00
    Summary
    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.
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    Funded Activity

    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.
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    Funded Activity

    Linkage - International - Grant ID: LX0455561

    Funder
    Australian Research Council
    Funding Amount
    $30,500.00
    Summary
    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.
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    Funded Activity

    Discovery Projects - Grant ID: DP0208808

    Funder
    Australian Research Council
    Funding Amount
    $457,836.00
    Summary
    Algebraic Structures in Mathematical Physics and Their Applications. Algebraic structures such as affine (super)algebras, quantised algebras and vertex operator algebras are among the most important discoveries in mathematics. They provide a universal common algebraic framework underlying applications in a wide range of physics (eg. statistical mechanics, string theory, condensed matter physics etc.) leading to a high level of research activity worldwide. The project harnessess the high level .... Algebraic Structures in Mathematical Physics and Their Applications. Algebraic structures such as affine (super)algebras, quantised algebras and vertex operator algebras are among the most important discoveries in mathematics. They provide a universal common algebraic framework underlying applications in a wide range of physics (eg. statistical mechanics, string theory, condensed matter physics etc.) leading to a high level of research activity worldwide. The project harnessess the high level of expertise in mathematical physics across Australia to focus on exciting new developments in the theory of these algebraic structures and their application to physics, thus ensuring Australia plays a leading role in this rapidly expanding field.
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    Funded Activity

    Discovery Projects - Grant ID: DP1096240

    Funder
    Australian Research Council
    Funding Amount
    $343,000.00
    Summary
    Understanding cohesive forces in nanosystems. This theory project will provide basic scientific and modelling/computational support for a number of emerging technologies such as clean energy, and advanced materials and textiles (both CSIRO research areas). Other possible application areas are assembly of arrays of nanotube-based mechanical or electronic devices (e.g. single electron transistor arrays for quantum computer readout), and medical imaging and drug delivery via nano-sized magnetic pa .... Understanding cohesive forces in nanosystems. This theory project will provide basic scientific and modelling/computational support for a number of emerging technologies such as clean energy, and advanced materials and textiles (both CSIRO research areas). Other possible application areas are assembly of arrays of nanotube-based mechanical or electronic devices (e.g. single electron transistor arrays for quantum computer readout), and medical imaging and drug delivery via nano-sized magnetic particles. This last application is a strong growth area worldwide, with several Australian groups already participating. The project will train postgraduate students and a postdoctoral researcher. It will connect Australian scientists with a European Network of Excellence.
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    Funded Activity

    Linkage - International - Grant ID: LX0453416

    Funder
    Australian Research Council
    Funding Amount
    $35,000.00
    Summary
    The fundamental structure of combinatorial configurations. Combinatorial configurations are fundamental mathematical tools used to model physical problems in the information sciences. Combinatorial trades arise from the differences between combinatorial configurations. They uniquely determine the underlying structure of the configuration and are central to the determination of defining sets. With this proposal we shall study the existence, properties and applications of combinatorial trades and .... The fundamental structure of combinatorial configurations. Combinatorial configurations are fundamental mathematical tools used to model physical problems in the information sciences. Combinatorial trades arise from the differences between combinatorial configurations. They uniquely determine the underlying structure of the configuration and are central to the determination of defining sets. With this proposal we shall study the existence, properties and applications of combinatorial trades and the associated defining sets. Our results will have applications in the areas of biotechnology, information systems, information security and experimental design.
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