Certifying ergotropy under partial information

• URL: http://arxiv.org/abs/2603.18828v1
• Date: Thu, 19 Mar 2026 12:24:31 GMT
• Title: Certifying ergotropy under partial information
• Abstract summary: Ergotropy, the maximum work extractable from a quantum system, is a central resource in quantum physics.<n>Here we introduce a general certification framework that lower bounds ergotropy using only the expectation values of a limited set of arbitrary observables.<n>We benchmark our approach on both synthetic data and experimental measurements from an IBM quantum processor.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Ergotropy, the maximum work extractable from a quantum system, is a central resource in quantum physics. Computing ergotropy is well established when the system state is fully known, but its estimation under partial information remains an open problem. Here we introduce a general certification framework that lower bounds ergotropy using only the expectation values of a limited set of arbitrary observables. The method naturally applies in the finite-statistics regime, yielding confidence-certified bounds that explicitly incorporate shot noise. We benchmark our approach on both synthetic data and experimental measurements from an IBM quantum processor. This establishes a robust and experimentally accessible tool for certifying extractable work in realistic quantum settings.

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