Choice of mutually unbiased bases and outcome labeling affecting measurement outcome secrecy

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DODA M. PIVOLUSKA Matej PLESCH Martin

Rok publikování 2021
Druh Článek v odborném periodiku
Časopis / Zdroj Physical review A
Fakulta / Pracoviště MU

Ústav výpočetní techniky

Citace
www https://journals.aps.org/pra/pdf/10.1103/PhysRevA.103.032206
Doi http://dx.doi.org/10.1103/PhysRevA.103.032206
Klíčová slova quantum measurement incompatibility; guessing game
Popis Mutually unbiased bases (MUBs) are a crucial ingredient for many protocols in quantum information processing. Measurements performed in these bases are unbiased to the maximally possible extent, which is used to prove the randomness or secrecy of measurement results. In this work we show that certain properties of sets of MUBs crucially depend on their specific choice, including, somewhat surprisingly, measurement outcome labeling. If measurements are chosen in a coherent way, the secrecy of the result can be completely lost for specific sets of MUB measurements but partially retained for others. This could potentially impact a broad spectrum of applications where MUBs are utilized.
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