Optimal quantum circuits for general phase estimation.
We address the problem of estimating the phase phi given N copies of the phase-rotation gate uphi. We consider, for the first time, the optimization of the general case where the circuit consists of an arbitrary input state, followed by any arrangement of the N phase rotations interspersed with arbi...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2007
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| _version_ | 1826259485790830592 |
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| author | van Dam, W D'Ariano, G Ekert, A Macchiavello, C Mosca, M |
| author_facet | van Dam, W D'Ariano, G Ekert, A Macchiavello, C Mosca, M |
| author_sort | van Dam, W |
| collection | OXFORD |
| description | We address the problem of estimating the phase phi given N copies of the phase-rotation gate uphi. We consider, for the first time, the optimization of the general case where the circuit consists of an arbitrary input state, followed by any arrangement of the N phase rotations interspersed with arbitrary quantum operations, and ending with a general measurement. Using the polynomial method, we show that, in all cases where the measure of quality of the estimate phi for phi depends only on the difference phi-phi, the optimal scheme has a very simple fixed form. This implies that an optimal general phase estimation procedure can be found by just optimizing the amplitudes of the initial state. |
| first_indexed | 2024-03-06T18:50:38Z |
| format | Journal article |
| id | oxford-uuid:1018f7bd-f56a-459b-a32b-9cfdbbb27d99 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:50:38Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | oxford-uuid:1018f7bd-f56a-459b-a32b-9cfdbbb27d992022-03-26T09:54:39ZOptimal quantum circuits for general phase estimation.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1018f7bd-f56a-459b-a32b-9cfdbbb27d99EnglishSymplectic Elements at Oxford2007van Dam, WD'Ariano, GEkert, AMacchiavello, CMosca, MWe address the problem of estimating the phase phi given N copies of the phase-rotation gate uphi. We consider, for the first time, the optimization of the general case where the circuit consists of an arbitrary input state, followed by any arrangement of the N phase rotations interspersed with arbitrary quantum operations, and ending with a general measurement. Using the polynomial method, we show that, in all cases where the measure of quality of the estimate phi for phi depends only on the difference phi-phi, the optimal scheme has a very simple fixed form. This implies that an optimal general phase estimation procedure can be found by just optimizing the amplitudes of the initial state. |
| spellingShingle | van Dam, W D'Ariano, G Ekert, A Macchiavello, C Mosca, M Optimal quantum circuits for general phase estimation. |
| title | Optimal quantum circuits for general phase estimation. |
| title_full | Optimal quantum circuits for general phase estimation. |
| title_fullStr | Optimal quantum circuits for general phase estimation. |
| title_full_unstemmed | Optimal quantum circuits for general phase estimation. |
| title_short | Optimal quantum circuits for general phase estimation. |
| title_sort | optimal quantum circuits for general phase estimation |
| work_keys_str_mv | AT vandamw optimalquantumcircuitsforgeneralphaseestimation AT darianog optimalquantumcircuitsforgeneralphaseestimation AT ekerta optimalquantumcircuitsforgeneralphaseestimation AT macchiavelloc optimalquantumcircuitsforgeneralphaseestimation AT moscam optimalquantumcircuitsforgeneralphaseestimation |