{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T12:35:17Z","timestamp":1761482117129,"version":"build-2065373602"},"reference-count":104,"publisher":"Wiley","issue":"11","license":[{"start":{"date-parts":[[2022,10,13]],"date-time":"2022-10-13T00:00:00Z","timestamp":1665619200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["PD\/BD\/135186\/2017","UIDB\/04540\/2020"],"award-info":[{"award-number":["PD\/BD\/135186\/2017","UIDB\/04540\/2020"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003086","name":"Eusko Jaurlaritza","doi-asserted-by":"publisher","award":["IT1470\u201022"],"award-info":[{"award-number":["IT1470\u201022"]}],"id":[{"id":"10.13039\/501100003086","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004837","name":"Ministerio de Ciencia e Innovaci\u00f3n","doi-asserted-by":"publisher","award":["PID2021\u2010125823NA\u2010I00"],"award-info":[{"award-number":["PID2021\u2010125823NA\u2010I00"]}],"id":[{"id":"10.13039\/501100004837","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["advanced.onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Adv Quantum Tech"],"published-print":{"date-parts":[[2022,11]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    Quantum\u2010enhanced, idler\u2010free sensing protocol to measure the response of a target object to the frequency of a probe in a noisy and lossy scenario is proposed. In this protocol, a target with frequency\u2010dependent reflectivity  embedded in a thermal bath is considered. The aim is to estimate the parameter , since it contains relevant information for different problems. For this, a bi\u2010frequency quantum state is employed as the resource, since it is necessary to capture the relevant information about the parameter. Computing the quantum Fisher information\n                    <jats:italic>H<\/jats:italic>\n                    relative to the parameter \u03bb in an assumed neighborhood of  for a two\u2010mode squeezed state (), and a pair of coherent states (), a quantum enhancement is shown in the estimation of \u03bb. This quantum enhancement grows with the mean reflectivity of the probed object, and is noise\u2010resilient. Explicit formulas are derived for the optimal observables, and an experimental scheme based on elementary quantum optical transformations is proposed. Furthermore, this work opens the way to applications in both radar and medical imaging, in particular in the microwave\u00a0domain.\n                  <\/jats:p>","DOI":"10.1002\/qute.202100051","type":"journal-article","created":{"date-parts":[[2022,10,13]],"date-time":"2022-10-13T21:34:35Z","timestamp":1665696875000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Bi\u2010Frequency Illumination: A Quantum\u2010Enhanced Protocol"],"prefix":"10.1002","volume":"5","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1621-1828","authenticated-orcid":false,"given":"Mateo","family":"Casariego","sequence":"first","affiliation":[{"name":"Instituto Superior T\u00e9cnico Universidade de Lisboa Portugal"},{"name":"Physics of Information and Quantum Technologies Group Centro de F\u00edsica e Engenharia de Materiais Avan\u00e7ados (CeFEMA) Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2333-5762","authenticated-orcid":false,"given":"Yasser","family":"Omar","sequence":"additional","affiliation":[{"name":"Instituto Superior T\u00e9cnico Universidade de Lisboa Portugal"},{"name":"Physics of Information and Quantum Technologies Group Centro de F\u00edsica e Engenharia de Materiais Avan\u00e7ados (CeFEMA) Portugal"},{"name":"PQI \u2013 Portuguese Quantum Institute Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1615-9035","authenticated-orcid":false,"given":"Mikel","family":"Sanz","sequence":"additional","affiliation":[{"name":"Department of Physical Chemistry University of the Basque Country UPV\/EHU Apartado 644 Bilbao E\u201048080 Spain"},{"name":"EHU Quantum Center University of the Basque Country UPV\/EHU"},{"name":"Basque Center for Applied Mathematics (BCAM) Alameda de Mazarredo 14 Bilbao Basque Country 48009 Spain"},{"name":"IKERBASQUE Basque Foundation for Science Plaza Euskadi 5 Bilbao 48009 Spain"}]}],"member":"311","published-online":{"date-parts":[[2022,10,13]]},"reference":[{"key":"e_1_2_10_1_1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511976667"},{"key":"e_1_2_10_2_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41586-019-1666-5"},{"key":"e_1_2_10_3_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.69.3598"},{"key":"e_1_2_10_4_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41566-018-0301-6"},{"key":"e_1_2_10_5_1","doi-asserted-by":"publisher","DOI":"10.1038\/nphoton.2011.45"},{"key":"e_1_2_10_6_1","doi-asserted-by":"publisher","DOI":"10.1038\/nphoton.2011.35"},{"key":"e_1_2_10_7_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41566-020-0654-5"},{"key":"e_1_2_10_8_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-018-30608-1"},{"key":"e_1_2_10_9_1","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/723\/1\/012051"},{"key":"e_1_2_10_10_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41567-017-0042-3"},{"key":"e_1_2_10_11_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.100.062004"},{"key":"e_1_2_10_12_1","doi-asserted-by":"publisher","DOI":"10.1038\/nphoton.2013.177"},{"key":"e_1_2_10_13_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41534-018-0090-2"},{"key":"e_1_2_10_14_1","series-title":"Fundamental Theories of Physics","volume-title":"Thermodynamics in the Quantum Regime","author":"De Pasquale A.","year":"2018"},{"key":"e_1_2_10_15_1","doi-asserted-by":"publisher","DOI":"10.1038\/nphoton.2012.346"},{"key":"e_1_2_10_16_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.97.042124"},{"key":"e_1_2_10_17_1","doi-asserted-by":"publisher","DOI":"10.1038\/ncomms5065"},{"key":"e_1_2_10_18_1","doi-asserted-by":"publisher","DOI":"10.1038\/nphys1969"},{"key":"e_1_2_10_19_1","doi-asserted-by":"publisher","DOI":"10.1038\/srep29638"},{"key":"e_1_2_10_20_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.119.240401"},{"key":"e_1_2_10_21_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.101.012332"},{"key":"e_1_2_10_22_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.96.062304"},{"key":"e_1_2_10_23_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.88.013838"},{"key":"e_1_2_10_24_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.88.043832"},{"key":"e_1_2_10_25_1","doi-asserted-by":"publisher","DOI":"10.1038\/ncomms2067"},{"key":"e_1_2_10_26_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.109.190404"},{"key":"e_1_2_10_27_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.111.120401"},{"key":"e_1_2_10_28_1","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/18\/7\/073034"},{"key":"e_1_2_10_29_1","doi-asserted-by":"publisher","DOI":"10.22331\/q-2017-09-06-27"},{"key":"e_1_2_10_30_1","doi-asserted-by":"publisher","DOI":"10.1515\/qmetro-2018-0002"},{"key":"e_1_2_10_31_1","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/aa7144"},{"key":"e_1_2_10_32_1","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/16\/7\/073039"},{"key":"e_1_2_10_33_1","first-page":"041009","volume":"7","author":"Demkowicz\u2010Dobrza\u0144ski R.","year":"2017","journal-title":"Phys. Rev. X"},{"key":"e_1_2_10_34_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-017-01895-5"},{"key":"e_1_2_10_35_1","doi-asserted-by":"publisher","DOI":"10.1126\/science.1160627"},{"key":"e_1_2_10_36_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.101.253601"},{"key":"e_1_2_10_37_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.80.052310"},{"key":"e_1_2_10_38_1","doi-asserted-by":"publisher","DOI":"10.1109\/MAES.2019.2957870"},{"key":"e_1_2_10_39_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.100.012327"},{"key":"e_1_2_10_40_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.114.080503"},{"key":"e_1_2_10_41_1","doi-asserted-by":"publisher","DOI":"10.1126\/sciadv.abb0451"},{"key":"e_1_2_10_42_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.98.012101"},{"key":"e_1_2_10_43_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.110.153603"},{"key":"e_1_2_10_44_1","doi-asserted-by":"publisher","DOI":"10.1126\/sciadv.aay2652"},{"key":"e_1_2_10_45_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.103.052419"},{"key":"e_1_2_10_46_1","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1007\/978-3-031-02515-0","volume-title":"Quantum Radar","author":"Lanzagorta M.","year":"2012"},{"key":"e_1_2_10_47_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.124.200503"},{"key":"e_1_2_10_48_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.126.240501"},{"key":"e_1_2_10_49_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.118.070803"},{"key":"e_1_2_10_50_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-88-7642-378-9"},{"key":"e_1_2_10_51_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01007479"},{"key":"e_1_2_10_52_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.72.3439"},{"key":"e_1_2_10_53_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0219749909004839"},{"key":"e_1_2_10_54_1","doi-asserted-by":"publisher","DOI":"10.1007\/b98673"},{"key":"e_1_2_10_55_1","unstructured":"In a multiparameter scenario the quantum Fisher information is actually a matrix."},{"key":"e_1_2_10_56_1","unstructured":"A.Ferraro S.Olivares M. G. A.Paris arXiv:quant\u2010ph\/0503237 2005."},{"key":"e_1_2_10_57_1","doi-asserted-by":"publisher","DOI":"10.1142\/S1230161214400010"},{"key":"e_1_2_10_58_1","doi-asserted-by":"publisher","DOI":"10.1140\/epjst\/e2012-01532-4"},{"key":"e_1_2_10_59_1","doi-asserted-by":"publisher","DOI":"10.1201\/9781315118727"},{"key":"e_1_2_10_60_1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/aaf068"},{"key":"e_1_2_10_61_1","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/17\/7\/073016"},{"key":"e_1_2_10_62_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.85.010101"},{"key":"e_1_2_10_63_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.92.022106"},{"key":"e_1_2_10_64_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.88.040102"},{"key":"e_1_2_10_65_1","unstructured":"A.Monras arXiv:1303.3682 2013."},{"key":"e_1_2_10_66_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.89.032128"},{"key":"e_1_2_10_67_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.93.052330"},{"key":"e_1_2_10_68_1","doi-asserted-by":"publisher","DOI":"10.1140\/epjd\/e2014-50560-1"},{"key":"e_1_2_10_69_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.98.012114"},{"key":"e_1_2_10_70_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.115.260501"},{"key":"e_1_2_10_71_1","doi-asserted-by":"crossref","unstructured":"M.Sanz K. G.Fedorov F.Deppe E.Solano in2018 IEEE Conf. on Antenna Measurements and Applications(CAMA) IEEE Piscataway NJ2018 pp.1\u20134.","DOI":"10.1109\/CAMA.2018.8530599"},{"key":"e_1_2_10_72_1","unstructured":"The \u2018quantum optics\u2019 convention takes\u03ba1=1$\\kappa _1=1$."},{"key":"e_1_2_10_73_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02848172"},{"key":"e_1_2_10_74_1","first-page":"7","volume":"40","author":"Simon R.","year":"1998","journal-title":"J. Math. Phys."},{"key":"e_1_2_10_75_1","doi-asserted-by":"publisher","DOI":"10.2307\/2371062"},{"key":"e_1_2_10_76_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1971.1054643"},{"key":"e_1_2_10_77_1","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/17\/1\/013010"},{"key":"e_1_2_10_78_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.124.030501"},{"key":"e_1_2_10_79_1","doi-asserted-by":"publisher","DOI":"10.1088\/2058-9565\/abd83d"},{"key":"e_1_2_10_80_1","doi-asserted-by":"publisher","DOI":"10.1088\/2399-6528\/aaa234"},{"key":"e_1_2_10_81_1","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/ab098b"},{"key":"e_1_2_10_82_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.101.032114"},{"volume-title":"Fundamentals of Statistical Signal Processing: Estimation Theory","year":"1993","author":"Kay S.","key":"e_1_2_10_83_1"},{"key":"e_1_2_10_84_1","doi-asserted-by":"publisher","DOI":"10.1016\/bs.po.2015.02.003"},{"volume-title":"Mathematical Methods of Statistics","year":"1999","author":"Cram\u00e9r H.","key":"e_1_2_10_85_1"},{"key":"e_1_2_10_86_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0919-5_16"},{"key":"e_1_2_10_87_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.107.113601"},{"key":"e_1_2_10_88_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.109.183901"},{"key":"e_1_2_10_89_1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.77.513"},{"key":"e_1_2_10_90_1","unstructured":"M.Casariego E. Z.Cruzeiro S.Gheradini T.Gonzalez\u2010Raya R.Andr\u00e9 G.Fraz\u00e3o G.Catto M.M\u00f6tt\u00f6nen D.Datta K.Viisanen J.Govenius M.Prunnila K.Tuominen M.Reichert M.Renger K. G.Fedorov F.Deppe H.van derVliet A. J.Matthews Y.Fern\u00e1ndez R.Assouly R.Dassonneville B.Huard M.Sanz Y.Omar arXiv:2205.11424 [quant\u2010ph] 2022."},{"key":"e_1_2_10_91_1","unstructured":"T.Gonzalez\u2010Raya M.Casariego F.Fesquet M.Renger V.Salari M.M\u00f6tt\u00f6nen Y.Omar F.Deppe K. G.Fedorov M.Sanz arXiv:2203.07295 [quant\u2010ph] 2022."},{"key":"e_1_2_10_92_1","doi-asserted-by":"publisher","DOI":"10.1080\/09500349114552501"},{"key":"e_1_2_10_93_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-017-08505-w"},{"key":"e_1_2_10_94_1","unstructured":"Note thatNS$N_\\text{S}$is defined as the expected photon number in asinglemode meaning that the actual photon number in the signal is2NS$2N_\\text{S}$."},{"key":"e_1_2_10_95_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-018-24742-z"},{"key":"e_1_2_10_96_1","unstructured":"In a state language this translates to the total unitary being the tensor product of two beam splitters:UT(\u03b71 \u03b72)=U(\u03b71)\u2297U(\u03b72)${U}_T(\\eta _1 \\eta _2)= {U}(\\eta _1) \\otimes {U}(\\eta _2)$ withU(\u03b7i)\u2261exp[arcsin\u03b7(\u03c9i)(s\u0302i\u2020b\u0302i\u2212s\u0302ib\u0302i\u2020)]${U}(\\eta _i)\\equiv \\exp [ \\arcsin \\sqrt {\\eta (\\omega _i)}(\\hat{s}^\\dagger _i \\hat{b}_i-\\hat{s}_i \\hat{b}^\\dagger _i)]$."},{"key":"e_1_2_10_97_1","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(96)00339-8"},{"key":"e_1_2_10_98_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevApplied.14.044022"},{"key":"e_1_2_10_99_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.117.020502"},{"key":"e_1_2_10_100_1","doi-asserted-by":"publisher","DOI":"10.22331\/q-2022-08-23-783"},{"key":"e_1_2_10_101_1","unstructured":"J.Zhang T.Li R.Kokkoniemi C.Yan W.Liu M.Partanen K. Y.Tan M.He L.Ji L.Gr\u00f6nberg M.M\u00f6tt\u00f6nen arXiv:2003.01356 2020."},{"key":"e_1_2_10_102_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.101.104411"},{"key":"e_1_2_10_103_1","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/aa5bb6"},{"key":"e_1_2_10_104_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.84.5304"}],"container-title":["Advanced Quantum Technologies"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/qute.202100051","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/full-xml\/10.1002\/qute.202100051","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/advanced.onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/qute.202100051","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T12:29:39Z","timestamp":1761481779000},"score":1,"resource":{"primary":{"URL":"https:\/\/advanced.onlinelibrary.wiley.com\/doi\/10.1002\/qute.202100051"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,10,13]]},"references-count":104,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2022,11]]}},"alternative-id":["10.1002\/qute.202100051"],"URL":"https:\/\/doi.org\/10.1002\/qute.202100051","archive":["Portico"],"relation":{},"ISSN":["2511-9044","2511-9044"],"issn-type":[{"type":"print","value":"2511-9044"},{"type":"electronic","value":"2511-9044"}],"subject":[],"published":{"date-parts":[[2022,10,13]]},"assertion":[{"value":"2021-03-30","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2022-10-13","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"2100051"}}