Evading noise in multiparameter quantum metrology with indefinite causal order
Quantum theory allows the traversing of multiple channels in a superposition of different orders. When the order in which the channels are traversed is controlled by an auxiliary quantum system, various unknown parameters of the channels can be estimated by measuring only the control system, even wh...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2023-09-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.033198 |
| _version_ | 1797210379768561664 |
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| author | Aaron Z. Goldberg Khabat Heshami L. L. Sánchez-Soto |
| author_facet | Aaron Z. Goldberg Khabat Heshami L. L. Sánchez-Soto |
| author_sort | Aaron Z. Goldberg |
| collection | DOAJ |
| description | Quantum theory allows the traversing of multiple channels in a superposition of different orders. When the order in which the channels are traversed is controlled by an auxiliary quantum system, various unknown parameters of the channels can be estimated by measuring only the control system, even when the state of the probe alone would be insensitive. Moreover, increasing the dimension of the control system increases the number of simultaneously estimable parameters, which has important metrological ramifications. We demonstrate this capability for simultaneously estimating both unitary and noise parameters, including multiple parameters from the same unitary such as rotation angles and axes and from noise channels such as depolarization, dephasing, and amplitude damping in arbitrary dimensions. We identify regimes of unlimited advantages, taking the form of p^{2} smaller variances in estimation when the noise probability is 1−p, for both single and multiparameter estimations when using our schemes relative to any comparable scheme whose causal order is definite. |
| first_indexed | 2024-04-24T10:09:40Z |
| format | Article |
| id | doaj.art-7229f4008031430c8c5a05d7f0f91d97 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:09:40Z |
| publishDate | 2023-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-7229f4008031430c8c5a05d7f0f91d972024-04-12T17:34:13ZengAmerican Physical SocietyPhysical Review Research2643-15642023-09-015303319810.1103/PhysRevResearch.5.033198Evading noise in multiparameter quantum metrology with indefinite causal orderAaron Z. GoldbergKhabat HeshamiL. L. Sánchez-SotoQuantum theory allows the traversing of multiple channels in a superposition of different orders. When the order in which the channels are traversed is controlled by an auxiliary quantum system, various unknown parameters of the channels can be estimated by measuring only the control system, even when the state of the probe alone would be insensitive. Moreover, increasing the dimension of the control system increases the number of simultaneously estimable parameters, which has important metrological ramifications. We demonstrate this capability for simultaneously estimating both unitary and noise parameters, including multiple parameters from the same unitary such as rotation angles and axes and from noise channels such as depolarization, dephasing, and amplitude damping in arbitrary dimensions. We identify regimes of unlimited advantages, taking the form of p^{2} smaller variances in estimation when the noise probability is 1−p, for both single and multiparameter estimations when using our schemes relative to any comparable scheme whose causal order is definite.http://doi.org/10.1103/PhysRevResearch.5.033198 |
| spellingShingle | Aaron Z. Goldberg Khabat Heshami L. L. Sánchez-Soto Evading noise in multiparameter quantum metrology with indefinite causal order Physical Review Research |
| title | Evading noise in multiparameter quantum metrology with indefinite causal order |
| title_full | Evading noise in multiparameter quantum metrology with indefinite causal order |
| title_fullStr | Evading noise in multiparameter quantum metrology with indefinite causal order |
| title_full_unstemmed | Evading noise in multiparameter quantum metrology with indefinite causal order |
| title_short | Evading noise in multiparameter quantum metrology with indefinite causal order |
| title_sort | evading noise in multiparameter quantum metrology with indefinite causal order |
| url | http://doi.org/10.1103/PhysRevResearch.5.033198 |
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