论文标题

选择相互无偏基的基础和结果标签会影响测量结果保密

Choice of mutually unbiased bases and outcome labelling affects measurement outcome secrecy

论文作者

Doda, Mirdit, Pivoluska, Matej, Plesch, Martin

论文摘要

相互无偏基(MUB)是量子信息处理中许多方案的关键要素。在这些基础上进行的测量值在最大可能的程度上是公正的,这用于证明测量结果的随机性或保密性。在这项工作中,我们表明,MUB的某些特性至关重要地取决于它们的特定选择,包括令人惊讶的是测量结果标签。如果以连贯的方式选择测量值,则对于特定的MUB测量值,可能会完全丢失结果的保密性,而部分保留了其他结果。这可能会影响使用MUB的广泛应用。

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 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 labelling. If measurements are chosen in a coherent way, the secrecy of the result can be completely lost for specific sets of MUB measurements, while partially retained for others. This can potentially impact a broad spectrum of applications, where MUBs are utilized.

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