Monitoring-induced entanglement entropy and sampling complexity
The dynamics of open quantum systems is generally described by a master equation, which describes the loss of information into the environment. By using a simple model of uncoupled emitters, we illustrate how the recovery of this information depends on the monitoring scheme applied to register the d...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.L032021 |
| _version_ | 1797210666946265088 |
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| author | Mathias Van Regemortel Oles Shtanko Luis Pedro García-Pintos Abhinav Deshpande Hossein Dehghani Alexey V. Gorshkov Mohammad Hafezi |
| author_facet | Mathias Van Regemortel Oles Shtanko Luis Pedro García-Pintos Abhinav Deshpande Hossein Dehghani Alexey V. Gorshkov Mohammad Hafezi |
| author_sort | Mathias Van Regemortel |
| collection | DOAJ |
| description | The dynamics of open quantum systems is generally described by a master equation, which describes the loss of information into the environment. By using a simple model of uncoupled emitters, we illustrate how the recovery of this information depends on the monitoring scheme applied to register the decay clicks. The dissipative dynamics, in this case, is described by pure-state stochastic trajectories, and we examine different unravelings of the same master equation. More precisely, we demonstrate how registering the sequence of clicks from spontaneously emitted photons through a linear optical interferometer induces entanglement in the trajectory states. Since this model consists of an array of single-photon emitters, we show a direct equivalence with Fock-state boson sampling and link the hardness of sampling the outcomes of the quantum jumps with the scaling of trajectory entanglement. |
| first_indexed | 2024-04-24T10:14:14Z |
| format | Article |
| id | doaj.art-a86625ba909b49fa9300c3f1bddc3b22 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:14:14Z |
| publishDate | 2022-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-a86625ba909b49fa9300c3f1bddc3b222024-04-12T17:23:31ZengAmerican Physical SocietyPhysical Review Research2643-15642022-08-0143L03202110.1103/PhysRevResearch.4.L032021Monitoring-induced entanglement entropy and sampling complexityMathias Van RegemortelOles ShtankoLuis Pedro García-PintosAbhinav DeshpandeHossein DehghaniAlexey V. GorshkovMohammad HafeziThe dynamics of open quantum systems is generally described by a master equation, which describes the loss of information into the environment. By using a simple model of uncoupled emitters, we illustrate how the recovery of this information depends on the monitoring scheme applied to register the decay clicks. The dissipative dynamics, in this case, is described by pure-state stochastic trajectories, and we examine different unravelings of the same master equation. More precisely, we demonstrate how registering the sequence of clicks from spontaneously emitted photons through a linear optical interferometer induces entanglement in the trajectory states. Since this model consists of an array of single-photon emitters, we show a direct equivalence with Fock-state boson sampling and link the hardness of sampling the outcomes of the quantum jumps with the scaling of trajectory entanglement.http://doi.org/10.1103/PhysRevResearch.4.L032021 |
| spellingShingle | Mathias Van Regemortel Oles Shtanko Luis Pedro García-Pintos Abhinav Deshpande Hossein Dehghani Alexey V. Gorshkov Mohammad Hafezi Monitoring-induced entanglement entropy and sampling complexity Physical Review Research |
| title | Monitoring-induced entanglement entropy and sampling complexity |
| title_full | Monitoring-induced entanglement entropy and sampling complexity |
| title_fullStr | Monitoring-induced entanglement entropy and sampling complexity |
| title_full_unstemmed | Monitoring-induced entanglement entropy and sampling complexity |
| title_short | Monitoring-induced entanglement entropy and sampling complexity |
| title_sort | monitoring induced entanglement entropy and sampling complexity |
| url | http://doi.org/10.1103/PhysRevResearch.4.L032021 |
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