Leonardo Banchi

Apr 8, 2024 | arxiv.org | Leonardo Banchi

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May 9, 2023 | link.aps.org | Jason Pereira |Leonardo Banchi |Sesto Fiorentino |Stefano Pirandola

Abstract Two types of errors can occur when discriminating pairs of quantum states. Asymmetric state discrimination involves minimizing the probability of one type of error, subject to a constraint on the other. We give explicit expressions bounding the set of achievable errors, using the trace norm, the fidelity, and the quantum Chernoff bound. The upper bound is asymptotically tight and the lower bound is exact for pure states.

May 9, 2023 | link.aps.org | Jason Pereira |Sesto Fiorentino |Leonardo Banchi |Stefano Pirandola

Abstract Identifying clusters in data is an important task in many fields. In this paper, we consider situations in which data live in a physical world, so we first have to collect the images using sensors before clustering them. Using sensors enhanced by quantum entanglement, we can image surfaces more accurately than using purely classical strategies. However, it is not immediately obvious whether the advantage we gain is robust enough to survive data-processing steps such as clustering.