Foundations of quantum cryptography for distribution of secret keys

Funding: 2014: $85,613
2015: $169,626
2016: $169,626
2017: $169,626
2018: $84,013

Project Member(s): Hsieh, M.

Funding or Partner Organisation: Australian Research Council (ARC Future Fellowships)

Start year: 2014

Summary: 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. The quantity provides the ultimate limit to benchmark practical quantum key distribution protocols for their performance. Expected outcomes will significantly advance the theory of quantum cryptography and our knowledge of the fundamental resource of secret keys, have immediate application for the classical security of existing (non- quantum) communication devices, and benefit security, military, government, industry, individuals, and the community.

Publications:

Cheng, H-C & Hsieh, M-H 2019, 'Matrix Poincaré, Φ-Sobolev inequalities, and quantum ensembles', Journal of Mathematical Physics, vol. 60, no. 3, pp. 032201-032201.
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Zhu, EY, Zhuang, Q, Hsieh, M-H & Shor, PW 2019, 'Superadditivity in Trade-Off Capacities of Quantum Channels', IEEE Transactions on Information Theory, vol. 65, no. 6, pp. 3973-3989.
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Luo, Y, Li, Y & Hsieh, M-H 2018, 'Inequivalent Multipartite Coherence Classes and New Coherence Monotones', Phys. Rev. A, vol. 99, no. 4, p. 042306.
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Cheng, H-C, Gao, L & Hsieh, M-H 1970, 'Properties of Noncommutative Renyi and Augustin Information', Communications in Mathematical Physics volume, IEEE International Symposium on Information Theory, IEEE, Paris, France, pp. 501-544.
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Cheng, H-C & Hsieh, M-H 2017, 'Moderate Deviation Analysis for Classical-Quantum Channels and Quantum Hypothesis Testing', IEEE Transactions on Information Theory, vol. 64, no. 2, pp. 1385-1403.
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Cheng, H-C, Hsieh, M-H & Tomamichel, M 2017, 'Quantum Sphere-Packing Bounds with Polynomial Prefactors', IEEE Transactions on Information Theory, 65(5):2872-2898, May 2019, vol. 65, no. 5, pp. 2872-2898.
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Cheng, H-C & Hsieh, M-H 2016, 'Characterisations of Matrix and Operator-Valued $Φ$-Entropies, and Operator Efron-Stein Inequalities', Proc. R. Soc. A, vol. 472, no. 2187, p. 2187.
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Cheng, H-C & Hsieh, M-H 2016, 'On the Concavity of Auxiliary Function in Classical-Quantum Channels', IEEE Trans. Inf. Theory, 62(10), 5960 - 5965, 2016, vol. 62, no. 10, pp. 5960-5965.
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Cheng, HC, Hsieh, MH & Yeh, PC 2016, 'The learnability of unknown quantum measurements', Quantum Information and Computation, vol. 16, no. 7-8, pp. 615-656.

Chitambar, E, Fortescue, B & Hsieh, M-H 2015, 'A Classical Analog to Entanglement Reversibility', Phys. Rev. Lett., vol. 115, no. 9, pp. 090501-5.
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Chitambar, E, Fortescue, B & Hsieh, M-H 1970, 'Distributions Attaining Secret Key at a Rate of the Conditional Mutual Information', Advances in Cryptology -- CRYPTO 2015, Volume 9216 of the series Lecture Notes in Computer Science pp. 443-462, 2015, Annual International Cryptology Conference, SPRINGER-VERLAG BERLIN, Santa Barbara, CA, pp. 443-462.
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Hsieh, M-H & Watanabe, S 1970, 'Source Compression with a Quantum Helper', 2015 IEEE International Symposium on Information Theory (ISIT), pp. 2762-2766, 2015, IEEE International Symposium on Information Theory, IEEE, Hong Kong, pp. 2762-2766.
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Chitambar, E, Hsieh, M-H & Winter, A 2014, 'The Private and Public Correlation Cost of Three Random Variables with Collaboration', IEEE Trans. Inf. Theory 62(4):2034-2043, 2016, vol. 62, no. 4, pp. 2034-2043.
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Datta, N, Hsieh, M-H & Oppenheim, J 2014, 'An upper bound on the second order asymptotic expansion for the quantum communication cost of state redistribution', Journal of Mathematical Physics, vol. 57, no. 5, p. 052203.
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Lai, C-Y, Hsieh, M-H & Lu, H-F 2014, 'On the MacWilliams Identity for Classical and Quantum Convolutional Codes', IEEE Transactions on Communications, vol. 64, no. 8, pp. 3148-3159, Aug 2016, vol. 64, no. 8, pp. 3148-3159.
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Keywords: Quantum Shannon Theory, Quantum Cryptography, Quantum Information Theory

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