Quantum phase estimation with lossy interferometers
We give a detailed discussion of optimal quantum states for optical two-mode interferometry in the presence of photon losses. We derive analytical formulae for the precision of phase estimation obtainable using quantum states of light with a definite photon number and prove that maximization of the...
| Main Authors: | , , , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2009
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| _version_ | 1797103739812708352 |
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| author | Demkowicz-Dobrzanski, R Dorner, U Smith, B Lundeen, J Wasilewski, W Banaszek, K Walmsley, I |
| author_facet | Demkowicz-Dobrzanski, R Dorner, U Smith, B Lundeen, J Wasilewski, W Banaszek, K Walmsley, I |
| author_sort | Demkowicz-Dobrzanski, R |
| collection | OXFORD |
| description | We give a detailed discussion of optimal quantum states for optical two-mode interferometry in the presence of photon losses. We derive analytical formulae for the precision of phase estimation obtainable using quantum states of light with a definite photon number and prove that maximization of the precision is a convex optimization problem. The corresponding optimal precision, i.e., the lowest possible uncertainty, is shown to beat the standard quantum limit thus outperforming classical interferometry. Furthermore, we discuss more general inputs: states with indefinite photon number and states with photons distributed between distinguishable time bins. We prove that neither of these is helpful in improving phase estimation precision. © 2009 The American Physical Society. |
| first_indexed | 2024-03-07T06:24:20Z |
| format | Journal article |
| id | oxford-uuid:f3c1ed5f-9f6c-4d85-9e44-e951e660f4c7 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:24:20Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:f3c1ed5f-9f6c-4d85-9e44-e951e660f4c72022-03-27T12:14:28ZQuantum phase estimation with lossy interferometersJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f3c1ed5f-9f6c-4d85-9e44-e951e660f4c7EnglishSymplectic Elements at Oxford2009Demkowicz-Dobrzanski, RDorner, USmith, BLundeen, JWasilewski, WBanaszek, KWalmsley, IWe give a detailed discussion of optimal quantum states for optical two-mode interferometry in the presence of photon losses. We derive analytical formulae for the precision of phase estimation obtainable using quantum states of light with a definite photon number and prove that maximization of the precision is a convex optimization problem. The corresponding optimal precision, i.e., the lowest possible uncertainty, is shown to beat the standard quantum limit thus outperforming classical interferometry. Furthermore, we discuss more general inputs: states with indefinite photon number and states with photons distributed between distinguishable time bins. We prove that neither of these is helpful in improving phase estimation precision. © 2009 The American Physical Society. |
| spellingShingle | Demkowicz-Dobrzanski, R Dorner, U Smith, B Lundeen, J Wasilewski, W Banaszek, K Walmsley, I Quantum phase estimation with lossy interferometers |
| title | Quantum phase estimation with lossy interferometers |
| title_full | Quantum phase estimation with lossy interferometers |
| title_fullStr | Quantum phase estimation with lossy interferometers |
| title_full_unstemmed | Quantum phase estimation with lossy interferometers |
| title_short | Quantum phase estimation with lossy interferometers |
| title_sort | quantum phase estimation with lossy interferometers |
| work_keys_str_mv | AT demkowiczdobrzanskir quantumphaseestimationwithlossyinterferometers AT dorneru quantumphaseestimationwithlossyinterferometers AT smithb quantumphaseestimationwithlossyinterferometers AT lundeenj quantumphaseestimationwithlossyinterferometers AT wasilewskiw quantumphaseestimationwithlossyinterferometers AT banaszekk quantumphaseestimationwithlossyinterferometers AT walmsleyi quantumphaseestimationwithlossyinterferometers |