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Unambiguous comparison of ensembles of quantum states
Michal Sedlak, Mario Ziman, Vladimir Buzek +1
We present a solution of the problem of the optimal unambiguous comparison of two ensembles of unknown quantum states (psi_1)^k and (psi_2)^l. We consider two cases: 1) The two unk…
Application of quantum algorithms to the study of permutations and group automorphisms
Marianna Bonanome, Mark Hillery, Vladimir Buzek
We discuss three applications of efficient quantum algorithms to determining properties of permutations and group automorphisms. The first uses the Bernstein-Vazirani algorithm to…
Modifying quantum walks: A scattering theory approach
Edgar Feldman, Mark Hillery
We show how to construct discrete-time quantum walks on directed, Eulerian graphs. These graphs have tails on which the particle making the walk propagates freely, and this makes i…