We could use blockchain, the same technology that makes Bitcoin work, for e-voting. Elections are usually managed by the authorities in a black-boxed, centralised and top-down process, but blockchain elections would be run by the people in a transparent, decentralised and bottom-up process. While blockchain technology could be the breakthrough in security that is needed to enable e-voting, its success also depends upon the values and politics that it represents.
See the paper publication behind this podcast:
http://www.europarl.europa.eu/thinktank/en/document.html?reference=EPRS_ATA(2016)581918
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