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Optimal quantum measurements and applications in cryptographic tasks

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The security of any quantum cryptographic protocol is intimately related to the notion of measurable quantities in quantum mechanics. As a well-known example, in quantum key distribution by encoding information in one of two incompatible bases, the legitimate sender and receiver can ensure that any eavesdropper must both make errors, and disturb the signal, and thus can be detected. Full security proofs usually rely on arguments which bound the information that can be available to an eavesdropper, assuming that the eavesdropper holds the purification of Alice and Bob’s joint state. Nevertheless, for many protocols of interest we can gain insight by explicitly constructing optimal measurements for extracting information, either in the single copy or many copy case. In this talk I’ll give an overview of optimal measurement strategies, in particular cases in which analytical solutions are possible, and mention applications to relativistic cryptographic protocols.

This talk is part of the CQIF Seminar series.

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