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

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', 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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Duan, R, Severini, S & Winter, A 2013, 'Zero-Error Communication via Quantum Channels, Noncommutative Graphs, and a Quantum Lovász Number', IEEE Transactions On Information Theory, vol. 59, no. 2, pp. 1164-1174.
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Wilde, M, Datta, N, Hsieh, M & Winter, A 2013, 'Quantum Rate-Distortion Coding With Auxiliary Resources', IEEE Transactions On Information Theory, vol. 59, no. 10, pp. 6755-6773.
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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