Article
Device-independent tests of structures of measurement incompatibility
Author/s | Quintino, Marco Túlio
Budroni, Costantino Woodhead, Erik Cabello Quintero, Adán Cavalcanti, Daniel |
Department | Universidad de Sevilla. Departamento de Física Aplicada II |
Publication Date | 2019-10-31 |
Deposit Date | 2023-10-11 |
Published in |
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Abstract | In contrast with classical physics, in quantum physics some sets of measurements are incompatible in the sense that they cannot be performed simultaneously. Among other applications, incompatibility allows for contextuality ... In contrast with classical physics, in quantum physics some sets of measurements are incompatible in the sense that they cannot be performed simultaneously. Among other applications, incompatibility allows for contextuality and Bell nonlocality. This makes it of crucial importance to develop tools for certifying whether a set of measurements respects a certain structure of incompatibility. Here we show that, for quantum or nonsignaling models, if the measurements employed in a Bell test satisfy a given type of compatibility, then the amount of violation of some specific Bell inequalities becomes limited. Then, we show that correlations arising from local measurements on two-qubit states violate these limits, which rules out in a device-independent way such structures of incompatibility. In particular, we prove that quantum correlations allow for a device-independent demonstration of genuine triplewise incompatibility. Finally, we translate these results into a semidevice-independent Einstein-Podolsky-Rosen-steering scenario. |
Funding agencies | Japan Society for the Promotion of Science Ministry of Education, Culture, Sports, Science and Technology Austrian Science Fund Ministerio de Ciencia, Innovación y Universidades (MICINN). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) Ministerio de Economía y Competitividad (MINECO). España Generalitat de Catalunya European Research Council (ERC) |
Project ID. | 16F16769
JP-MXS0118069605 M2107 FIS2017-89609-P QIBEQI FIS2016-80773-P SEV-2015-0522 SGR875 CoG QITBOX |
Citation | Quintino, M.T., Budroni, C., Woodhead, E., Cabello Quintero, A. y Cavalcanti, . (2019). Device-independent tests of structures of measurement incompatibility. Physical Review Letters, 123 (180401). https://doi.org/10.1103/PhysRevLett.123.180401. |
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