Quantum prescriptions are more ontologically distinct than they are operationally distinguishable
Based on an intuitive generalization of the Leibniz principle of `the identity of indiscernibles', we introduce a novel ontological notion of classicality, called bounded ontological distinctness. Formulated as a principle, bounded ontological distinctness equates the distinguishability of a se...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2020-10-01
|
| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2020-10-21-345/pdf/ |
| _version_ | 1818980206145175552 |
|---|---|
| author | Anubhav Chaturvedi Debashis Saha |
| author_facet | Anubhav Chaturvedi Debashis Saha |
| author_sort | Anubhav Chaturvedi |
| collection | DOAJ |
| description | Based on an intuitive generalization of the Leibniz principle of `the identity of indiscernibles', we introduce a novel ontological notion of classicality, called bounded ontological distinctness. Formulated as a principle, bounded ontological distinctness equates the distinguishability of a set of operational physical entities to the distinctness of their ontological counterparts. Employing three instances of two-dimensional quantum preparations, we demonstrate the violation of bounded ontological distinctness or excess ontological distinctness of quantum preparations, without invoking any additional assumptions. Moreover, our methodology enables the inference of tight lower bounds on the extent of excess ontological distinctness of quantum preparations. Similarly, we demonstrate excess ontological distinctness of quantum transformations, using three two-dimensional unitary transformations. However, to demonstrate excess ontological distinctness of quantum measurements, an additional assumption such as outcome determinism or bounded ontological distinctness of preparations is required. Moreover, we show that quantum violations of other well-known ontological principles implicate quantum excess ontological distinctness. Finally, to showcase the operational vitality of excess ontological distinctness, we introduce two distinct classes of communication tasks powered by excess ontological distinctness. |
| first_indexed | 2024-12-20T17:11:44Z |
| format | Article |
| id | doaj.art-840b97b7037a4d97bd1cada040847c73 |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-12-20T17:11:44Z |
| publishDate | 2020-10-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-840b97b7037a4d97bd1cada040847c732022-12-21T19:32:08ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2020-10-01434510.22331/q-2020-10-21-34510.22331/q-2020-10-21-345Quantum prescriptions are more ontologically distinct than they are operationally distinguishableAnubhav ChaturvediDebashis SahaBased on an intuitive generalization of the Leibniz principle of `the identity of indiscernibles', we introduce a novel ontological notion of classicality, called bounded ontological distinctness. Formulated as a principle, bounded ontological distinctness equates the distinguishability of a set of operational physical entities to the distinctness of their ontological counterparts. Employing three instances of two-dimensional quantum preparations, we demonstrate the violation of bounded ontological distinctness or excess ontological distinctness of quantum preparations, without invoking any additional assumptions. Moreover, our methodology enables the inference of tight lower bounds on the extent of excess ontological distinctness of quantum preparations. Similarly, we demonstrate excess ontological distinctness of quantum transformations, using three two-dimensional unitary transformations. However, to demonstrate excess ontological distinctness of quantum measurements, an additional assumption such as outcome determinism or bounded ontological distinctness of preparations is required. Moreover, we show that quantum violations of other well-known ontological principles implicate quantum excess ontological distinctness. Finally, to showcase the operational vitality of excess ontological distinctness, we introduce two distinct classes of communication tasks powered by excess ontological distinctness.https://quantum-journal.org/papers/q-2020-10-21-345/pdf/ |
| spellingShingle | Anubhav Chaturvedi Debashis Saha Quantum prescriptions are more ontologically distinct than they are operationally distinguishable Quantum |
| title | Quantum prescriptions are more ontologically distinct than they are operationally distinguishable |
| title_full | Quantum prescriptions are more ontologically distinct than they are operationally distinguishable |
| title_fullStr | Quantum prescriptions are more ontologically distinct than they are operationally distinguishable |
| title_full_unstemmed | Quantum prescriptions are more ontologically distinct than they are operationally distinguishable |
| title_short | Quantum prescriptions are more ontologically distinct than they are operationally distinguishable |
| title_sort | quantum prescriptions are more ontologically distinct than they are operationally distinguishable |
| url | https://quantum-journal.org/papers/q-2020-10-21-345/pdf/ |
| work_keys_str_mv | AT anubhavchaturvedi quantumprescriptionsaremoreontologicallydistinctthantheyareoperationallydistinguishable AT debashissaha quantumprescriptionsaremoreontologicallydistinctthantheyareoperationallydistinguishable |