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Quantum effects in zero-error communication

Funding: 2012: $100,000
2013: $80,000
2014: $80,000

Project Member(s): Duan, R.

Funding or Partner Organisation: Australian Research Council (Other funds for ARC projects)
Australian Research Council (ARC Discovery Projects)
University of Bristol

Start year: 2012

Summary: We aim to establish a systematic quantum zero-error information theory by considering quantum effects in zero-error communication. Powerful tools from algebraic geometry, operator theory, mathematical programming and entanglement theory will be used to develop techniques to estimate zero-error capacity, which will then be applied in other fields. Our findings will provide communication protocols to achieve perfect transmission for classical/quantum information using noisy quantum channels. With global implications for building highly reliable quantum communication networks, the project advances research into the physical realisation of quantum communication and promotes Australia's place in this new research field.

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.
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Xie, W, Fang, K, Wang, X & Duan, R 2017, 'Approximate broadcasting of quantum correlations', Phys. Rev. A, vol. 96, no. 2, p. 022302.
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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.
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Wang, X & Duan, R 2016, 'Nonadditivity of Rains' bound for distillable entanglement', Phys. Rev. A, vol. 95, no. 6, pp. 062322-062322-5.
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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.
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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.
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Lai, C-Y & Duan, R 2015, 'On the One-Shot Zero-Error Classical Capacity of Classical-Quantum Channels Assisted by Quantum Non-signalling Correlations'.

Wilde, MM, Datta, N, Hsieh, M-H & Winter, A 2012, 'Quantum rate distortion coding with auxiliary resources', IEEE Transactions on Information Theory vol. 59, no. 10, pages 6755-6773 (October 2013), vol. 59, no. 10, pp. 6755-6773.
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Duan, R, Severini, S & Winter, A 2010, 'Zero-error communication via quantum channels, non-commutative graphs and a quantum Lovasz theta function', IEEE Trans. Inf. Theory 59(2):1164-1174, 2013, vol. 59, no. 2, pp. 1164-1174.
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Keywords: quantum informationquantum channelsquantum zero-error capacityentanglement theory

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