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Data Processing Inequalities for the Quantum Guesswork

Year: 2026

Type: conference-paper

Abstract: Quantum guesswork has emerged as a crucial measure in assessing the distinguishability of nonorthogonal quantum states. In this paper, we review and compare previous definitions of the quantum guesswork, and establish the pre and post data processing inequalities (DPIs) that are relevant for the guessing problem. We also derive improved lower and upper bounds on the quantum guesswork in terms of the Shannon entropy and Holevo's information.

Source: HAL

Authors: Mejdoub, Ilyass, Béguinot, Julien, Rioul, Olivier

Institutions: Télécom Paris, Institut Polytechnique de Paris

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7204678451

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