A measurable physical theory of hyper-correlations beyond quantum mechanics
whose non-local character exceeds the bounds allowed by quantum mechanics. Motivated by our observation that an extension of the Schroedinger equation with non-linear terms is directly linked to a relaxation of Born's rule, an axiom of quantum mechanics, we derive a physical theory that account...
| Main Authors: | , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
IOP Publishing
2020
|
| _version_ | 1797074542813773824 |
|---|---|
| author | Farrow, T Vedral, V Son, W |
| author_facet | Farrow, T Vedral, V Son, W |
| author_sort | Farrow, T |
| collection | OXFORD |
| description | whose non-local character exceeds the bounds allowed by quantum mechanics. Motivated by our observation that an extension of the Schroedinger equation with non-linear terms is directly linked to a relaxation of Born's rule, an axiom of quantum mechanics, we derive a physical theory that accounts for such hyper-correlated states and modifies Born's rule. We model correlated particles with a generalized probability theory whose dynamics are described with a non-linear version of Schr\"odinger's equation and demonstrate how that deviates from the standard formulation of quantum mechanics in experimental probability-prediction. We show also that the violation of the Clauser-Horn-Shimony-Holt inequality, the amount of non-locality, is proportional to the degree of non-linearity, which can be experimentally tested. |
| first_indexed | 2024-03-06T23:37:43Z |
| format | Journal article |
| id | oxford-uuid:6e39dda1-af6b-493f-a4df-a089db3e5a30 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:37:43Z |
| publishDate | 2020 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | oxford-uuid:6e39dda1-af6b-493f-a4df-a089db3e5a302022-03-26T19:23:07ZA measurable physical theory of hyper-correlations beyond quantum mechanicsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6e39dda1-af6b-493f-a4df-a089db3e5a30EnglishSymplectic ElementsIOP Publishing2020Farrow, TVedral, VSon, Wwhose non-local character exceeds the bounds allowed by quantum mechanics. Motivated by our observation that an extension of the Schroedinger equation with non-linear terms is directly linked to a relaxation of Born's rule, an axiom of quantum mechanics, we derive a physical theory that accounts for such hyper-correlated states and modifies Born's rule. We model correlated particles with a generalized probability theory whose dynamics are described with a non-linear version of Schr\"odinger's equation and demonstrate how that deviates from the standard formulation of quantum mechanics in experimental probability-prediction. We show also that the violation of the Clauser-Horn-Shimony-Holt inequality, the amount of non-locality, is proportional to the degree of non-linearity, which can be experimentally tested. |
| spellingShingle | Farrow, T Vedral, V Son, W A measurable physical theory of hyper-correlations beyond quantum mechanics |
| title | A measurable physical theory of hyper-correlations beyond quantum mechanics |
| title_full | A measurable physical theory of hyper-correlations beyond quantum mechanics |
| title_fullStr | A measurable physical theory of hyper-correlations beyond quantum mechanics |
| title_full_unstemmed | A measurable physical theory of hyper-correlations beyond quantum mechanics |
| title_short | A measurable physical theory of hyper-correlations beyond quantum mechanics |
| title_sort | measurable physical theory of hyper correlations beyond quantum mechanics |
| work_keys_str_mv | AT farrowt ameasurablephysicaltheoryofhypercorrelationsbeyondquantummechanics AT vedralv ameasurablephysicaltheoryofhypercorrelationsbeyondquantummechanics AT sonw ameasurablephysicaltheoryofhypercorrelationsbeyondquantummechanics AT farrowt measurablephysicaltheoryofhypercorrelationsbeyondquantummechanics AT vedralv measurablephysicaltheoryofhypercorrelationsbeyondquantummechanics AT sonw measurablephysicaltheoryofhypercorrelationsbeyondquantummechanics |