Assemblages and steering in general probabilistic theories

Article Physics, Multidisciplinary

Maximal violation of steering inequalities and the matrix cube

Andreas Bluhm et al.

Quantum (2022)

Article Physics, Mathematical

Incompatibility in General Probabilistic Theories, Generalized Spectrahedra, and Tensor Norms

Andreas Bluhm et al.

Summary: In this work, the authors investigate measurement incompatibility in general probabilistic theories (GPTs) and provide several equivalent characterizations of compatible measurements. They use these characterizations to study the amount of incompatibility present in different GPTs and find new bounds on the maximal incompatibility in more than three qubit measurements.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2022)

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Article Quantum Science & Technology

Post-quantum steering is a stronger-than-quantum resource for information processing

Paulo J. Cavalcanti et al.

Summary: This article presents the application of post-quantum steering in information processing and demonstrates its significance and potential applications through the construction of a new probabilistic theory.

NPJ QUANTUM INFORMATION (2022)

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Article Multidisciplinary Sciences

Complete classification of steerability under local filters and its relation with measurement incompatibility

Huan-Yu Ku et al.

Summary: The study explores the importance of quantum steering in both theoretical foundations and practical applications. The researchers propose a condition for transforming a steerable resource into another via local filtering, based on the concept of steering equivalent observables (SEO). They provide an efficient method for computing the maximum extractable steerability via local filters and demonstrate its equivalence to the incompatibility of the SEO. Additionally, they investigate the optimal performance of transformation protocols in the single-shot scenario.

NATURE COMMUNICATIONS (2022)

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Article Mathematics

ENTANGLEABILITY OF CONES

Guillaume Aubrun et al.

Summary: This research solves a long-standing conjecture by Barker, showing that the minimal and maximal tensor products of two finite-dimensional proper cones coincide if and only if one of the cones is generated by a linearly independent set. The proof techniques involve a combination of convex geometry, elementary algebraic topology, and computations inspired by quantum information theory. The motivation behind the study comes from foundational physics, demonstrating that any two non-classical systems modeled by general probabilistic theories can be entangled.

GEOMETRIC AND FUNCTIONAL ANALYSIS (2021)

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Article Physics, Mathematical