Cryptography in a Quantum World

Details Cryptography in a Quantum World Cryptography in a Quantum World

2008-06-20

arxiv.org/abs/0806.3483v1

Physics

Quantum Physics

PhD Thesis, University of Amsterdam, 27 February 2008. 279 pages, 32 figures

Scientific paper

Quantum computing had a profound impact on cryptography. Shor's discovery of an efficient quantum algorithm for factoring large integers implies that many existing classical systems based on computational assumptions can be broken, once a quantum computer is built. It is therefore imperative to find other means of implementing secure protocols. This thesis aims to contribute to the understanding of both the physical limitations, as well as the possibilities of cryptography in the quantum setting. In particular, we investigate several questions that are crucial to the security of quantum protocols: How can we find good uncertainty relations for a large number of measurement settings? How does the presence of entanglement affect classical protocols? And, what limitations does entanglement impose on implementing quantum protocols? Finally, can we circumvent some of those limitations using realistic assumptions?

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