Typicality of Heisenberg scaling precision in multimode quantum metrology
We propose a measurement setup reaching Heisenberg scaling precision for the estimation of any distributed parameter φ (not necessarily a phase) encoded into a generic M-port linear network composed only of passive elements. The scheme proposed can be easily implemented from an experimental point of...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-02-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.013152 |
| _version_ | 1797211098441580544 |
|---|---|
| author | Giovanni Gramegna Danilo Triggiani Paolo Facchi Frank A. Narducci Vincenzo Tamma |
| author_facet | Giovanni Gramegna Danilo Triggiani Paolo Facchi Frank A. Narducci Vincenzo Tamma |
| author_sort | Giovanni Gramegna |
| collection | DOAJ |
| description | We propose a measurement setup reaching Heisenberg scaling precision for the estimation of any distributed parameter φ (not necessarily a phase) encoded into a generic M-port linear network composed only of passive elements. The scheme proposed can be easily implemented from an experimental point of view since it employs only Gaussian states and Gaussian measurements. Due to the complete generality of the estimation problem considered, it was predicted that one would need to carry out an adaptive procedure which involves both the input states employed and the measurement performed at the output; we show that this is not necessary: Heisenberg scaling precision is still achievable by only adapting a single stage. The nonadapted stage only affects the value of a prefactor multiplying the Heisenberg scaling precision: We show that, for large values of M and a random (unbiased) choice of the nonadapted stage, this prefactor takes a typical value which can be controlled through the encoding of the parameter φ into the linear network. |
| first_indexed | 2024-04-24T10:21:05Z |
| format | Article |
| id | doaj.art-f87cef47524442668b2aae490621e06c |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:21:05Z |
| publishDate | 2021-02-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-f87cef47524442668b2aae490621e06c2024-04-12T17:07:25ZengAmerican Physical SocietyPhysical Review Research2643-15642021-02-013101315210.1103/PhysRevResearch.3.013152Typicality of Heisenberg scaling precision in multimode quantum metrologyGiovanni GramegnaDanilo TriggianiPaolo FacchiFrank A. NarducciVincenzo TammaWe propose a measurement setup reaching Heisenberg scaling precision for the estimation of any distributed parameter φ (not necessarily a phase) encoded into a generic M-port linear network composed only of passive elements. The scheme proposed can be easily implemented from an experimental point of view since it employs only Gaussian states and Gaussian measurements. Due to the complete generality of the estimation problem considered, it was predicted that one would need to carry out an adaptive procedure which involves both the input states employed and the measurement performed at the output; we show that this is not necessary: Heisenberg scaling precision is still achievable by only adapting a single stage. The nonadapted stage only affects the value of a prefactor multiplying the Heisenberg scaling precision: We show that, for large values of M and a random (unbiased) choice of the nonadapted stage, this prefactor takes a typical value which can be controlled through the encoding of the parameter φ into the linear network.http://doi.org/10.1103/PhysRevResearch.3.013152 |
| spellingShingle | Giovanni Gramegna Danilo Triggiani Paolo Facchi Frank A. Narducci Vincenzo Tamma Typicality of Heisenberg scaling precision in multimode quantum metrology Physical Review Research |
| title | Typicality of Heisenberg scaling precision in multimode quantum metrology |
| title_full | Typicality of Heisenberg scaling precision in multimode quantum metrology |
| title_fullStr | Typicality of Heisenberg scaling precision in multimode quantum metrology |
| title_full_unstemmed | Typicality of Heisenberg scaling precision in multimode quantum metrology |
| title_short | Typicality of Heisenberg scaling precision in multimode quantum metrology |
| title_sort | typicality of heisenberg scaling precision in multimode quantum metrology |
| url | http://doi.org/10.1103/PhysRevResearch.3.013152 |
| work_keys_str_mv | AT giovannigramegna typicalityofheisenbergscalingprecisioninmultimodequantummetrology AT danilotriggiani typicalityofheisenbergscalingprecisioninmultimodequantummetrology AT paolofacchi typicalityofheisenbergscalingprecisioninmultimodequantummetrology AT frankanarducci typicalityofheisenbergscalingprecisioninmultimodequantummetrology AT vincenzotamma typicalityofheisenbergscalingprecisioninmultimodequantummetrology |