Work

Entanglement fidelity of the Petz decoder for one-shot entanglement transmission

Year: 2026

Type: article

Abstract: One-shot entanglement transmission is a quantum information processing task where a quantum state is sent to a second party over a noisy channel. The goal of the task is to approximately recover the original state by applying a decoder to the output of the noisy channel. In this work, we note that the Petz map induces a universal decoder for one-shot entanglement transmission, and we quantify its entanglement fidelity. This fidelity is found to be determined by the singly minimized Petz Rényi mutual information of order 1/2 associated with a complementary channel, thus providing a novel operational interpretation of this information measure. Furthermore, we compare the performance of this decoder to that of the decoder induced by the twirled Petz map and the Schumacher–Westmoreland decoder.

Source: Journal of Mathematical Physics

DOI: 10.1063/5.0306268

Author: Laura Burri

Institutions: ETH Zurich, Institute for Theoretical Physics

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Funder: Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Award: G1393669212