Quantum contextuality is in good agreement with the delayed-choice method

Official URL: https://dx.doi.org/10.1007/s10773-023-05344-6

Contextuality is a critical concept to understand the laws of Quantum Theory. It tells us how measurement can be affected by the context in which it is performed. As a result, we observe the violation of the classical inequalities. The wave-particle duality is also a fundamental concept explaining how quantum particles may behave as both waves and particles. In this work, we make a connection between quantum contextuality and the wave-particle duality. For this purpose, we propose a quantum circuit consisting of a couple of two-qubit gates and a Hadamard gate. We apply the Klyachko-Can-Binicioğlu-Shumovsky (KCBS) test to the symmetric two-qubit states corresponding to qutrits and observe that particle- and wave-like properties determine whether one may observe contextual behavior.