Work

Strong Converse Exponent of Quantum Dichotomies

Year: 2025

Type: article

Abstract: 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.

Source: IEEE Transactions on Information Theory

DOI: 10.1109/tit.2025.3643514

Authors: Mario Berta, Yongsheng Yao

Institution: RWTH Aachen University

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: European Research Council, H2020 European Research Council

Awards: G1789509448, Entropy for Quantum Information Science