Universal quantum theory contains twisted logic

• URL: http://arxiv.org/abs/2409.20480v1
• Date: Mon, 30 Sep 2024 16:40:58 GMT
• Title: Universal quantum theory contains twisted logic
• Authors: Francesco Atzori, Enrico Rebufello, Maria Violaris, Laura T. Knoll, Abdulla Alhajri, Alessio Avella, Marco Gramegna, Chiara Marletto, Vlatko Vedral, Fabrizio Piacentini, Ivo Pietro Degiovanni, Marco Genovese,
• Abstract summary: Heisenberg's uncertainty principle leads to the impossibility of stringing together logical deductions about outcomes of consecutive non-compatible measurements. We show how overlooking this non-trivial logical structure leads to the erroneous possibility of distinguishing non-orthogonal states with a single measurement.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum theory is notoriously counterintuitive, and yet remains entirely self-consistent when applied universally. Here we uncover a new manifestation of its unusual consequences. We demonstrate, theoretically and experimentally (by means of polarization-encoded single-photon qubits), that Heisenberg's uncertainty principle leads to the impossibility of stringing together logical deductions about outcomes of consecutive non-compatible measurements. This phenomenon resembles the geometry of a Penrose triangle, where each corner is locally consistent while the global structure is impossible. Besides this, we show how overlooking this non-trivial logical structure leads to the erroneous possibility of distinguishing non-orthogonal states with a single measurement.

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