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

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', Phys. Rev. A, vol. 95, no. 5, pp. 052346-052346-6.
View/Download from: Publisher's site

Xie, W, Fang, K, Wang, X & Duan, R 2017, 'Approximate broadcasting of quantum correlations', Phys. Rev. A, vol. 96, no. 2, p. 022302.
View/Download from: Publisher's site

Wang, X, Xie, W & Duan, R 1970, 'Semidefinite programming converse bounds for classical communication over quantum channels', 2017 IEEE International Symposium on Information Theory (ISIT), 2017 IEEE International Symposium on Information Theory (ISIT), IEEE, Aachen, Germany, pp. 1728-1732.
View/Download from: Publisher's site

Wang, X & Duan, R 2016, 'Nonadditivity of Rains' bound for distillable entanglement', Phys. Rev. A, vol. 95, no. 6, pp. 062322-062322-5.
View/Download from: Publisher's site

Wang, X & Duan, R 1970, '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.
View/Download from: Publisher's site

Wang, X & Duan, R 1970, '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.
View/Download from: Publisher's site

Lai, C-Y & Duan, R 2015, 'On the One-Shot Zero-Error Classical Capacity of Classical-Quantum Channels Assisted by Quantum Non-signalling Correlations'.

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, Mathematical aspects of classical mechanics, quantum mechanics and quantum information theory, Coding, information theory and compression, Quantum information, computation and communication

Acknowledgement of Country

UTS acknowledges the Gadigal people of the Eora Nation, the Boorooberongal people of the Dharug Nation, the Bidiagal people and the Gamaygal people, upon whose ancestral lands our university stands. We would also like to pay respect to the Elders both past and present, acknowledging them as the traditional custodians of knowledge for these lands.