Geodesic
Analysis of properties of quantum hashing
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Quantum computing, Tome 138 (2017), pp. 11-18.

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We analyze a method of binary quantum hashing that allows one to represent binary sets as quantum states. We show that this method is very stable with respect to the recovery of preimages. Moreover, we propose heuristic approaches to small-bias sets on which the construction of quantum hash-functions is based and show that they are stable with respect to collisions.
Keywords: quantum computing, quantum cryptography, quantum hashing, linear binary code, random search, particle swarm algorithm. 
@article{INTO_2017_138_a1,
     author = {A. V. Vasiliev and A. R. Vasilov and M. A. Latypov},
     title = {Analysis of properties of quantum hashing},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {11--18},
     publisher = {mathdoc},
     volume = {138},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_138_a1/}
}
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A. V. Vasiliev; A. R. Vasilov; M. A. Latypov. Analysis of properties of quantum hashing. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Quantum computing, Tome 138 (2017), pp. 11-18. http://geodesic.mathdoc.fr/item/INTO_2017_138_a1/