Optimal
fingerprinting strategies with one-sided error
(pp243-264)
Andrew
J. Scott, Jonathan Walgate, and Barry C. Sanders
doi:
https://doi.org/10.26421/QIC7.3-5
Abstracts:
Fingerprinting enables two parties to infer whether the
messages they hold are the same or different when the cost of
communication is high: each message is associated with a smaller
fingerprint and comparisons between messages are made in terms of their
fingerprints alone. In the simultaneous message passing model, it is
known that fingerprints composed of quantum information can be made
exponentially smaller than those composed of classical information. For
small message lengths, we present constructions of optimal classical
fingerprinting strategies with one-sided error, in both the one-way and
simultaneous message passing models, and provide bounds on the
worst-case error probability with the help of extremal set theory. The
performance of these protocols is then compared to that for quantum
fingerprinting strategies constructed from spherical codes, equiangular
tight frames and mutually unbiased bases.
Key words: quantum
fingerprinting, communication complexity |