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Published February 2010 | Published
Journal Article Open

Entropic uncertainty relations — a survey

Abstract

Uncertainty relations play a central role in quantum mechanics. Entropic uncertainty relations in particular have gained significant importance within quantum information, providing the foundation for the security of many quantum cryptographic protocols. Yet, little is known about entropic uncertainty relations with more than two measurement settings. In the present survey, we review known results and open questions.

Additional Information

© IOP Publishing 2010. Received 27 July 2009; Published 26 February 2010. We thank Andris Ambainis, Otfried Guehne, Michael Hall, Denes Petz, R Srikanth and Ronald de Wolf for useful comments and pointers. AW is supported by the UK EPSRC, by the Royal Society, the Leverhulme Trust, and by the European Commission through IP 'QAP' and STREP 'QICS'. The Centre for Quantum Technologies is funded by the Singapore Ministry of Education and the National Research Foundation as part of the Research Centres of Excellence programme. SW is supported by NSF grants PHY-04056720 and PHY-0803371.

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August 21, 2023
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