Operational Concealment of Measurement Incompatibility by Quantum Channels

• URL: http://arxiv.org/abs/2607.11762v1
• Date: Mon, 13 Jul 2026 16:23:22 GMT
• Title: Operational Concealment of Measurement Incompatibility by Quantum Channels
• Abstract summary: Measurement incompatibility can become operationally inaccessible when observations are restricted to the output of a quantum channel.<n>We develop a systematic adjoint- kernel framework for operational concealment in which observables are organized into operational equivalence classes.<n>We show that concealment robustness coincides with standard incompatibility for injective channels but can be strictly smaller for non-injective channels.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Measurement incompatibility can remain intact at the operator level yet become operationally inaccessible when observations are restricted to the output of a quantum channel; we refer to this phenomenon as operational concealment. We develop a systematic adjoint-kernel framework for operational concealment in which observables are organized into operational equivalence classes determined by the kernel of the adjoint channel. This framework yields a structural classification of channels via kernel equivalence and monotonicity, together with a concealment robustness measure admitting explicit SDP formulations. It also yields an approximate concealment framework and a geometric characterization of concealment for unbiased binary qubit POVMs under rank-2 unital qubit channels. We show that concealment robustness coincides with standard incompatibility robustness for injective channels but can be strictly smaller for non-injective channels, as demonstrated by explicit analytical families. These results provide a systematic characterization and quantitative treatment of operationally inaccessible measurement incompatibility, with implications for restricted-access quantum information and semi-device-independent certification.

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