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Quantifiers and witnesses for the nonclassicality of measurements and of states

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arxiv 2504.02944 v3 pith:BMMILD5Y submitted 2025-04-03 quant-ph

classification quant-ph
keywords measurementsnonclassicalitystatesappliesindividualnoncontextualitynotionprocesses
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In recent work Phys. Rev. X 16, 021050, we proposed a unified notion of nonclassicality that applies to arbitrary processes in quantum theory, including individual quantum states, measurements, and sets thereof. This notion is derived from the principle of generalized noncontextuality, but in a novel manner that applies to individual processes rather than full experiments or theories. In the present work, we develop semidefinite-programming-based certificates and witnesses for the nonclassicality of states, sources, measurements, and sets thereof. These theory-dependent methods complement theory-independent approaches based on noncontextuality inequalities. We demonstrate the framework through a variety of explicit examples.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exact Incompatibility-Breaking Criterion for Unital Qubit Channels

    quant-ph 2026-07 accept novelty 7.0 of 10

    For every unital qubit channel, PVM- and POVM-incompatibility breaking coincide: the exact threshold is 2∫_{S²}‖Dn‖dμ(n) ≤ 1.

  2. Typicality of Contextuality

    quant-ph 2025-10 conditional novelty 6.0 of 10

    Random qubit prepare-and-measure experiments are contextual with probability near 1 once they contain enough preparations and measurements, yet the typical strength of contextuality — and the resulting quantum advanta...

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