Work

No-go theorems on probabilistically enhancing measurement incompatibility’s advantages

Year: 2026

Type: article

Abstract: We show that the quantum advantages arising from incompatibility of a set of measurements cannot be enhanced by subjecting them to a filter, namely, by combining them with a device that post-selects the incoming states on a fixed outcome of a stochastic transformation. This result holds for several measures of incompatibility, such as those based on robustness and convex weight. As an application, we show that, for Einstein-Podolsky-Rosen steering, our no-go results determine the maximum steerability attainable under the most general local filters, together with an explicit expression for the optimal filter. Moreover, our results generalize to nonphysical maps, i.e., positive but not completely positive linear maps.

Source: npj Quantum Information

DOI: 10.1038/s41534-026-01270-7

Authors: Huan-Yu Ku, Chung-Yun Hsieh, Costantino Budroni

Institutions: National Taiwan Normal University, University of Bristol, University of Pisa

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $4,290

Funders: Leverhulme Trust, Ministry of Education, India, Ministry of Science and Technology, Taiwan, National Taiwan Normal University