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Quantum Privacy: A Mathematical Foundation and Novel Solutions for Highly Secure Communications

Funding: 2012: $170,757
2013: $168,164
2014: $170,757
2015: $168,164

Funding or Partner Organisation: University of Franche-Comte
Australian Research Council (ARC Future Fellowships)
University of Toronto (The University of Toronto, Canada)

Start year: 2012

Summary: Quantum cryptographic systems have been commercially available, with a striking advantage of mathematically provable security and privacy. This project aims to exploit the superactivation of private capacity of quantum communication channels, and to advance further the currently fragmentary theory of quantum privacy through a stronger integration of quantum information theory with suitable operator structures. Expected outcomes are innovative solutions to enable truly secure communication and their mathematical foundations. These solutions will help to safeguard the Australian society and global economies.

Publications:

Li, Y, Wang, X & Duan, R 2017, 'Indistinguishability of bipartite states by positive-partial-transpose operations in the many-copy scenario', Physical Review A, vol. 95, no. 5, pp. 052346-1-052346-6.
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Wang, X & Duan, R 2017, 'Nonadditivity of Rains' bound for distillable entanglement', Physical Review A, vol. 95, no. 6, pp. 062322-1-062322-5.
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Xie, W, Fang, K, Wang, X & Duan, R 2017, 'Approximate broadcasting of quantum correlations', PHYSICAL REVIEW A, vol. 96, no. 2.
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Wang, X, Xie, W & Duan, R 2017, 'Semidefinite programming converse bounds for classical communication over quantum channels', IEEE International Symposium on Information Theory - Proceedings, IEEE International Symposium on Information Theory, IEEE, Aachen, Germany, pp. 1728-1732.
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Wang, X & Duan, R 2016, 'A semidefinite programming upper bound of quantum capacity', IEEE International Symposium on Information Theory - Proceedings, IEEE International Symposium on Information Theory, IEEE, Barcelona, Spain, pp. 1690-1694.
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Wang, X & Duan, R 2016, 'On the quantum no-signalling assisted zero-error classical simulation cost of non-commutative bipartite graphs', IEEE International Symposium on Information Theory - Proceedings, IEEE International Symposium on Information Theory, IEEE, Barcelona, Spain, pp. 2244-2248.
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Lai, C-Y & Duan, R 2016, 'On the One-Shot Zero-Error Classical Capacity of Classical-Quantum Channels Assisted by Quantum Non-signalling Correlations'.
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Keywords: quantum information theory,quantum privacy,operator structures

FOR Codes: Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory, Expanding Knowledge in the Mathematical Sciences, Quantum Information, Computation and Communication, Expanding Knowledge in the Physical Sciences, Coding and Information Theory, Expanding Knowledge in the Information and Computing Sciences