%0 Generic %1 sarkar2021probing %A Sarkar, Shubhayan %A Saha, Debashis %D 2021 %K Foundation %T Probing measurement problem of quantum theory with an operational approach %U http://arxiv.org/abs/2107.08447 %X Exploiting the tension between the two dynamics of quantum theory (QT) or the so-called "measurement problem" of QT within a modified version of Wigner's Friend thought experiment, we point out that two different descriptions of Friend's lab by two different observers, Wigner and his Student, applying the same textbook QT can lead to inconsistency in observed probabilities. To avoid such inconsistent predictions of QT, we hypothesize two distinct solutions inspired by the perspectives of Wigner and Student, which we term as Äbsoluteness of measurement (AoM)", and "Non-absoluteness of measurement (NoM)". To test the validity of these two perceptions in an operational approach, we construct an extended Wigner's Friend scenario and probe two sets of empirical probabilities inferred from these two perceptions without assuming the details of the experiment. We show that the set of probabilities obtainable for NoM is strictly larger than the set obtainable for AoM. We then further extend our scenario for two spatially separated Friends and propose an operational task with a suitable figure of merit to single out quantum correlations achievable with NoM but cannot be achieved using AoM. Notably, the optimal value of the figure of merit in QT with AoM is the same as in classical theory. We also analyze whether different interpretations of QT are compatible with these two perceptions and provide consistent predictions or not. Finally, we point out that the recent no-go theorems of QT provided by Frauchiger-Renner Nat. Commun. 9, 3711 (2018), by Brukner Entropy 20, 350 (2018), and by K.W. Bong et al., Nat. Phys. 16, 1199 (2020) are particular instances of the violation of AoM.

@misc{sarkar2021probing, abstract = {Exploiting the tension between the two dynamics of quantum theory (QT) or the so-called "measurement problem" of QT within a modified version of Wigner's Friend thought experiment, we point out that two different descriptions of Friend's lab by two different observers, Wigner and his Student, applying the same textbook QT can lead to inconsistency in observed probabilities. To avoid such inconsistent predictions of QT, we hypothesize two distinct solutions inspired by the perspectives of Wigner and Student, which we term as "Absoluteness of measurement (AoM)", and "Non-absoluteness of measurement (NoM)". To test the validity of these two perceptions in an operational approach, we construct an extended Wigner's Friend scenario and probe two sets of empirical probabilities inferred from these two perceptions without assuming the details of the experiment. We show that the set of probabilities obtainable for NoM is strictly larger than the set obtainable for AoM. We then further extend our scenario for two spatially separated Friends and propose an operational task with a suitable figure of merit to single out quantum correlations achievable with NoM but cannot be achieved using AoM. Notably, the optimal value of the figure of merit in QT with AoM is the same as in classical theory. We also analyze whether different interpretations of QT are compatible with these two perceptions and provide consistent predictions or not. Finally, we point out that the recent no-go theorems of QT provided by Frauchiger-Renner [Nat. Commun. 9, 3711 (2018)], by Brukner [Entropy 20, 350 (2018)], and by K.W. Bong et al., [Nat. Phys. 16, 1199 (2020)] are particular instances of the violation of AoM.}, added-at = {2021-07-29T09:30:36.000+0200}, author = {Sarkar, Shubhayan and Saha, Debashis}, biburl = {https://www.bibsonomy.org/bibtex/20c22279f5a2d7c50c31a87c7696dcef9/sakshiprajne}, description = {Probing measurement problem of quantum theory with an operational approach}, interhash = {9451ec680320a4e4c0b91bcddcee136b}, intrahash = {0c22279f5a2d7c50c31a87c7696dcef9}, keywords = {Foundation}, note = {cite arxiv:2107.08447Comment: First draft, comments are welcome}, timestamp = {2021-07-29T09:30:36.000+0200}, title = {Probing measurement problem of quantum theory with an operational approach}, url = {http://arxiv.org/abs/2107.08447}, year = 2021 }