Operational Characterization of Coherent Measurements with Steering and Randomness

• URL: http://arxiv.org/abs/2511.09102v1
• Date: Thu, 13 Nov 2025 01:31:58 GMT
• Title: Operational Characterization of Coherent Measurements with Steering and Randomness
• Authors: Chellasamy Jebarathinam, Huan-Yu Ku, Hsi-Sheng Goan,
• Abstract summary: We show that a set of coherent measurements leverages semi-independent (device) steering and local generation.<n>We apply this monotone randomness to the steer of local randomness from twoqubit states without to be certified.
• Score: 1.5020330976600738
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Here, we demonstrate that a set of coherent measurements leverages semi-device-independent (SDI) steering and local randomness generation. To this end, we show that coherent measurements are a necessary resource for demonstrating SDI steering. Conversely, through one-to-one mapping of an SDI steerable correlation to a set of measurements, the coherence of the measurements, in turn, is a necessary and sufficient criterion for SDI steering. This result aligns with the relationship between the standard steering scenario and the measurement incompatibility. Then a nonconvex resource theory for SDI steering is formulated and a nonconvex monotone of the resource is obtained in the two-setting scenario using the above-mentioned one-to-one mapping. Finally, we apply this monotone to the quantification of local randomness from two-qubit states without requiring entanglement to be certified.

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