iCore Seminar: Quantum Shannon Theory for Quantum Technologies

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• Dr Mario Berta, Department of Computing, Imperial College London
• Wednesday 06 December 2017, 14:00-15:00
• Seminar Room 909b, Level 9, EEE Building.

If you have a question about this talk, please contact Cong Ling.

In recent years there has been tremendous progress in the design and control of quantum mechanical systems, promising revolutionary applications in information processing in the very near future. In this talk, I will present some of the communication theoretic aspects of quantum technologies which are the basis for physically secure and efficient network communication over the quantum internet.

In Shannon information theory the channel capacity determines the maximal rate at which we can code reliably over asymptotically many uses of a noisy channel. I will argue that this asymptotic treatment is insufficient in the quantum setting where decoherence severely limits our ability to manipulate large quantum systems in the encoder and decoder. For all practical purposes we should instead focus on the trade-off between three parameters: the rate of the code, the number of coherent uses of the channel, and the fidelity of the transmission. The aim is then to specify the region determined by allowed combinations of these parameters. Towards this goal, we find approximate and exact characterizations of the region of allowed triplets for the qubit dephasing channel and for the erasure channel with classical post-processing assistance. In each case the region is parametrized by a second channel parameter, the quantum channel dispersion.

This talk is part of the Featured talks series.

This talk is included in these lists:

• Andrea Picciau's list
• COMMSP & CP list
• COMMSP Seminar
• Featured talks
• SAP Talks
• Seminar Room 909b, Level 9, EEE Building

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