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Strong Converse Exponent of Quantum Dichotomies

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arxiv 2410.12576 v2 pith:BTCNSRXV submitted 2024-10-16 quant-ph

Mario Berta , Yongsheng Yao This is my paper · ORCID
classification quant-ph
keywords quantumdichotomiesconverseexactexponentlarge-deviationpairrate
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The quantum dichotomies problem asks at what rate one pair of quantum states can be approximately mapped into another pair of quantum states. In the many copy limit and for vanishing error, the optimal rate is known to be given by the ratio of the respective quantum relative distances. Here, we study the large-deviation behavior of quantum dichotomies and determine the exact strong converse exponent based on the purified distance. This is the first time to establish the exact high-error large-deviation analysis for this task in fully quantum setting.

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Cited by 1 Pith paper

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  1. Strong converse Exponents of Partially Smoothed Information Measures

    quant-ph 2025-05 conditional novelty 6.0 of 10

    The strong converse exponents of partially smoothed mutual max-information and conditional min-entropy are determined exactly for classical and pure quantum states.

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