{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,18]],"date-time":"2026-01-18T22:28:00Z","timestamp":1768775280172,"version":"3.49.0"},"reference-count":46,"publisher":"Springer Science and Business Media LLC","issue":"11","license":[{"start":{"date-parts":[[2018,9,26]],"date-time":"2018-09-26T00:00:00Z","timestamp":1537920000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61873317"],"award-info":[{"award-number":["61873317"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"published-print":{"date-parts":[[2018,11]]},"DOI":"10.1007\/s11128-018-2078-4","type":"journal-article","created":{"date-parts":[[2018,9,26]],"date-time":"2018-09-26T15:46:35Z","timestamp":1537976795000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Quantum parameter estimation via dispersive measurement in circuit QED"],"prefix":"10.1007","volume":"17","author":[{"given":"Beili","family":"Gong","sequence":"first","affiliation":[]},{"given":"Yang","family":"Yang","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1755-7887","authenticated-orcid":false,"given":"Wei","family":"Cui","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,9,26]]},"reference":[{"key":"2078_CR1","volume-title":"Quantum Detection and Estimation Theory, Mathematics in Science and Engineering","author":"CW Helstrom","year":"1976","unstructured":"Helstrom, C.W.: Quantum Detection and Estimation Theory, Mathematics in Science and Engineering, vol. 123. Academic Press, New York (1976)"},{"key":"2078_CR2","doi-asserted-by":"publisher","DOI":"10.1007\/978-88-7642-378-9","volume-title":"Probabilistic and Statistical Aspects of Quantum Theory","author":"AS Holevo","year":"2011","unstructured":"Holevo, A.S.: Probabilistic and Statistical Aspects of Quantum Theory. Edizioni della Normale, Pisa (2011)"},{"key":"2078_CR3","volume-title":"Quantum Measurements and Control","author":"HM Wiseman","year":"2010","unstructured":"Wiseman, H.M., Milburn, G.J.: Quantum Measurements and Control. Cambridge University Press, Cambridge (2010)"},{"key":"2078_CR4","doi-asserted-by":"publisher","first-page":"406","DOI":"10.1038\/nphys1958","volume":"7","author":"BM Escher","year":"2011","unstructured":"Escher, B.M., de Matos Filho, R.L., Davidovich, L.: General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology. Nat. Phys. 7, 406\u2013411 (2011)","journal-title":"Nat. Phys."},{"key":"2078_CR5","doi-asserted-by":"publisher","first-page":"1330","DOI":"10.1126\/science.1104149","volume":"306","author":"V Giovannetti","year":"2004","unstructured":"Giovannetti, V., Lloyd, S., Maccone, L.: Quantum-enhanced measurements: beating the standard quantum limit. Science 306, 1330\u20131336 (2004)","journal-title":"Science"},{"key":"2078_CR6","doi-asserted-by":"publisher","first-page":"1369","DOI":"10.1016\/j.physleta.2017.02.037","volume":"381","author":"F Chapeau-Blondeau","year":"2017","unstructured":"Chapeau-Blondeau, F.: Entanglement-assisted quantum parameter estimation from a noisy qubit pair: a Fisher information analysis. Phys. Lett. A 381, 1369\u20131378 (2017)","journal-title":"Phys. Lett. A"},{"key":"2078_CR7","doi-asserted-by":"publisher","first-page":"2598","DOI":"10.1016\/j.physleta.2017.06.024","volume":"381","author":"M Bradshaw","year":"2017","unstructured":"Bradshaw, M., Assad, S.M., Lam, P.K.: A tight Cram\u00e9r\u2013Rao bound for joint parameter estimation with a pure two-mode squeezed probe. Phys. Lett. A 381, 2598\u20132607 (2017)","journal-title":"Phys. Lett. A"},{"key":"2078_CR8","doi-asserted-by":"publisher","first-page":"216","DOI":"10.1016\/j.physleta.2016.10.050","volume":"381","author":"XL Li","year":"2017","unstructured":"Li, X.L., Li, J.G., Wang, Y.M.: The influence of non-Gaussian noise on the accuracy of parameter estimation. Phys. Lett. A 381, 216\u2013220 (2017)","journal-title":"Phys. Lett. A"},{"key":"2078_CR9","doi-asserted-by":"publisher","first-page":"012111","DOI":"10.1103\/PhysRevA.95.012111","volume":"95","author":"L Seveso","year":"2017","unstructured":"Seveso, L., Rossi, M.A.C., Paris, M.G.A.: Quantum metrology beyond the quantum Cram\u00e9r\u2013Rao theorem. Phys. Rev. A 95, 012111 (2017)","journal-title":"Phys. Rev. A"},{"key":"2078_CR10","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1103\/RevModPhys.52.341","volume":"52","author":"CM Caves","year":"1980","unstructured":"Caves, C.M., Thorne, K.S., Drever, R.W., Sandberg, V.D., Zimmermann, M.: On the measurement of a weak classical force coupled to a quantum-mechanical oscillator. I. Issues of principle. Rev. Mod. Phys. 52, 341\u2013392 (1980)","journal-title":"Rev. Mod. Phys."},{"key":"2078_CR11","doi-asserted-by":"publisher","first-page":"1693","DOI":"10.1103\/PhysRevD.23.1693","volume":"23","author":"CM Caves","year":"1981","unstructured":"Caves, C.M.: Quantum-mechanical noise in an interferometer. Phys. Rev. D 23, 1693\u20131708 (1981)","journal-title":"Phys. Rev. D"},{"key":"2078_CR12","doi-asserted-by":"publisher","first-page":"180402","DOI":"10.1103\/PhysRevLett.105.180402","volume":"105","author":"M Zwierz","year":"2010","unstructured":"Zwierz, M., P\u00e9rez-Delgado, C.A., Kok, P.: General optimality of the Heisenberg limit for quantum metrology. Phys. Rev. Lett. 105, 180402 (2010)","journal-title":"Phys. Rev. Lett."},{"key":"2078_CR13","doi-asserted-by":"publisher","first-page":"110401","DOI":"10.1103\/PhysRevLett.115.110401","volume":"115","author":"H Yuan","year":"2015","unstructured":"Yuan, H., Fung, C.H.F.: Optimal feedback scheme and universal time scaling for hamiltonian parameter estimation. Phys. Rev. Lett. 115, 110401 (2015)","journal-title":"Phys. Rev. Lett."},{"issue":"4","key":"2078_CR14","doi-asserted-by":"publisher","first-page":"040312","DOI":"10.1007\/s11433-017-9139-6","volume":"61","author":"B Gong","year":"2018","unstructured":"Gong, B., Cui, W.: Multi-objective optimization in quantum parameter estimation. Sci. China-Phys. Mech. Astron. 61(4), 040312 (2018)","journal-title":"Sci. China-Phys. Mech. Astron."},{"issue":"3","key":"2078_CR15","doi-asserted-by":"publisher","first-page":"241","DOI":"10.1007\/s11768-018-7113-6","volume":"16","author":"W Cui","year":"2018","unstructured":"Cui, W.: Research opportunities arising from measurement and estimation of quantum systems. Control Theory Technol. 16(3), 241\u2013243 (2018)","journal-title":"Control Theory Technol."},{"key":"2078_CR16","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-1412-4_4","volume-title":"Some Applications of the Cram\u00e9r\u2013Rao Inequality","author":"JL Hodges","year":"2012","unstructured":"Hodges, J.L., Lehmann, E.L.: Some Applications of the Cram\u00e9r\u2013Rao Inequality. Springer, Boston (2012)"},{"key":"2078_CR17","doi-asserted-by":"publisher","first-page":"022337","DOI":"10.1103\/PhysRevA.87.022337","volume":"87","author":"W Zhong","year":"2013","unstructured":"Zhong, W., Sun, Z., Ma, J., Wang, X.G., Nori, F.: Fisher information under decoherence in Bloch representation. Phys. Rev. A 87, 022337 (2013)","journal-title":"Phys. Rev. A"},{"key":"2078_CR18","doi-asserted-by":"publisher","first-page":"014301","DOI":"10.1103\/PhysRevA.88.014301","volume":"88","author":"N Li","year":"2013","unstructured":"Li, N., Luo, S.: Entanglement detection via quantum Fisher information. Phys. Rev. A 88, 014301 (2013)","journal-title":"Phys. Rev. A"},{"key":"2078_CR19","doi-asserted-by":"publisher","first-page":"043832","DOI":"10.1103\/PhysRevA.88.043832","volume":"88","author":"Y Zhang","year":"2013","unstructured":"Zhang, Y., Li, X.W., Yang, W., Jin, G.R.: Quantum Fisher information of entangled coherent states in the presence of photon loss. Phys. Rev. A 88, 043832 (2013)","journal-title":"Phys. Rev. A"},{"key":"2078_CR20","doi-asserted-by":"publisher","first-page":"180403","DOI":"10.1103\/PhysRevLett.97.180403","volume":"97","author":"GA Smith","year":"2006","unstructured":"Smith, G.A., Silberfarb, A., Deutsch, I.H., Jessen, P.S.: Efficient quantum state estimation by continuous weak measurement and dynamical control. Phys. Rev. Lett. 97, 180403 (2006)","journal-title":"Phys. Rev. Lett."},{"key":"2078_CR21","doi-asserted-by":"publisher","first-page":"1351","DOI":"10.1103\/PhysRevLett.60.1351","volume":"60","author":"Y Aharonov","year":"1988","unstructured":"Aharonov, Y., Albert, D.Z., Vaidman, L.: How the result of a measurement of a component of the spin of a spin-1\/2 particle can turn out to be 100. Phys. Rev. Lett. 60, 1351\u20131354 (1988)","journal-title":"Phys. Rev. Lett."},{"key":"2078_CR22","doi-asserted-by":"publisher","first-page":"210801","DOI":"10.1103\/PhysRevLett.114.210801","volume":"114","author":"L Zhang","year":"2015","unstructured":"Zhang, L., Datta, A., Walmsley, I.A.: Precision metrology using weak measurements. Phys. Rev. Lett. 114, 210801 (2015)","journal-title":"Phys. Rev. Lett."},{"key":"2078_CR23","doi-asserted-by":"publisher","first-page":"033604","DOI":"10.1103\/PhysRevLett.111.033604","volume":"111","author":"XY Xu","year":"2013","unstructured":"Xu, X.Y., Kedem, Y., Sun, K., Vaidman, L., Li, C.F., Guo, G.C.: Phase estimation with weak measurement using a white light source. Phys. Rev. Lett. 111, 033604 (2013)","journal-title":"Phys. Rev. Lett."},{"key":"2078_CR24","volume-title":"The Theory of Open Quantum Systems","author":"HP Breuer","year":"2002","unstructured":"Breuer, H.P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, New York (2002)"},{"key":"2078_CR25","doi-asserted-by":"publisher","first-page":"123011","DOI":"10.1088\/1367-2630\/aa9840","volume":"19","author":"F Albarelli","year":"2017","unstructured":"Albarelli, F., Rossi, M.A.C., Paris, M.G.A., Genoni, M.G.: Ultimate limits for quantum magnetometry via time-continuous measurements. New J. Phys. 19, 123011 (2017)","journal-title":"New J. Phys."},{"key":"2078_CR26","doi-asserted-by":"publisher","first-page":"052119","DOI":"10.1103\/PhysRevA.84.052119","volume":"84","author":"JF Ralph","year":"2011","unstructured":"Ralph, J.F., Jacobs, K., Hill, C.D.: Frequency tracking and parameter estimation for robust quantum state estimation. Phys. Rev. A 84, 052119 (2011)","journal-title":"Phys. Rev. A"},{"key":"2078_CR27","doi-asserted-by":"publisher","first-page":"032115","DOI":"10.1103\/PhysRevA.87.032115","volume":"87","author":"S Gammelmark","year":"2013","unstructured":"Gammelmark, S., M\u00f8lmer, K.: Bayesian parameter inference from continuously monitored quantum systems. Phys. Rev. A 87, 032115 (2013)","journal-title":"Phys. Rev. A"},{"key":"2078_CR28","doi-asserted-by":"publisher","first-page":"170401","DOI":"10.1103\/PhysRevLett.112.170401","volume":"112","author":"S Gammelmark","year":"2014","unstructured":"Gammelmark, S., M\u00f8lmer, K.: Fisher information and the quantum Cram\u00e9r\u2013Rao sensitivity limit of continuous measurements. Phys. Rev. Lett. 112, 170401 (2014)","journal-title":"Phys. Rev. Lett."},{"key":"2078_CR29","doi-asserted-by":"publisher","first-page":"012116","DOI":"10.1103\/PhysRevA.95.012116","volume":"95","author":"MG Genoni","year":"2017","unstructured":"Genoni, M.G.: Cram\u00e9r\u2013Rao bound for time-continuous measurements in linear Gaussian quantum systems. Phys. Rev. A 95, 012116 (2017)","journal-title":"Phys. Rev. A"},{"issue":"11","key":"2078_CR30","doi-asserted-by":"publisher","first-page":"42","DOI":"10.1063\/1.2155757","volume":"58","author":"JQ You","year":"2005","unstructured":"You, J.Q., Nori, F.: Superconducting circuits and quantum information. Phys. Today 58(11), 42\u201347 (2005)","journal-title":"Phys. Today"},{"key":"2078_CR31","doi-asserted-by":"publisher","first-page":"589","DOI":"10.1038\/nature10122","volume":"474","author":"JQ You","year":"2011","unstructured":"You, J.Q., Nori, F.: Atomic physics and quantum optics using superconducting circuits. Nature 474, 589\u2013597 (2011)","journal-title":"Nature"},{"key":"2078_CR32","doi-asserted-by":"publisher","first-page":"062320","DOI":"10.1103\/PhysRevA.69.062320","volume":"69","author":"A Blais","year":"2004","unstructured":"Blais, A., Huang, R.S., Wallraff, A., Girvin, S.M., Schoelkopf, R.J.: Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation. Phys. Rev. A 69, 062320 (2004)","journal-title":"Phys. Rev. A"},{"key":"2078_CR33","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1038\/nature11505","volume":"490","author":"R Vijay","year":"2012","unstructured":"Vijay, R., Macklin, C., Slichter, D.H., Weber, S.J., Murch, K.W., Naik, R., Korotkov, A.N., Siddiqi, I.: Stabilizing Rabi oscillations in a superconducting qubit using quantum feedback. Nature 490, 77\u201380 (2012)","journal-title":"Nature"},{"key":"2078_CR34","doi-asserted-by":"publisher","first-page":"144516","DOI":"10.1103\/PhysRevB.87.144516","volume":"87","author":"ZL Xiang","year":"2013","unstructured":"Xiang, Z.L., Ashhab, S., You, J.Q., Nori, F.: Hybrid quantum circuit consisting of a superconducting flux qubit coupled to both a spin ensemble and a transmission-line resonator. Phys. Rev. B 87, 144516 (2013)","journal-title":"Phys. Rev. B"},{"key":"2078_CR35","doi-asserted-by":"publisher","first-page":"063823","DOI":"10.1103\/PhysRevA.88.063823","volume":"88","author":"W Cui","year":"2013","unstructured":"Cui, W., Nori, F.: Feedback control of Rabi oscillations in circuit QED. Phys. Rev. A 88, 063823 (2013)","journal-title":"Phys. Rev. A"},{"key":"2078_CR36","volume-title":"Markov Chain Monte Carlo in Practice","author":"WR Gilks","year":"1996","unstructured":"Gilks, W.R., Richardson, S., Spiegelhalter, D.J.: Markov Chain Monte Carlo in Practice. Chapman & Hall, London (1996)"},{"key":"2078_CR37","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1515\/sagmb-2013-0061","volume":"13","author":"IG Johnston","year":"2014","unstructured":"Johnston, I.G.: Efficient parametric inference for stochastic biological systems with measured variability. Stat. Appl. Genet. Mol. Biol. 13, 379\u2013390 (2014)","journal-title":"Stat. Appl. Genet. Mol. Biol."},{"key":"2078_CR38","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1007\/s11004-007-9137-1","volume":"40","author":"Y Efendiev","year":"2008","unstructured":"Efendiev, Y., Datta-Gupta, A., Ma, X., Mallick, B.: Modified Markov chain Monte Carlo method for dynamic data integration using streamline approach. Math. Geosci. 40, 213\u2013232 (2008)","journal-title":"Math. Geosci."},{"issue":"22","key":"2078_CR39","doi-asserted-by":"publisher","first-page":"3439","DOI":"10.1103\/PhysRevLett.72.3439","volume":"72","author":"SL Braunstein","year":"1994","unstructured":"Braunstein, S.L., Caves, C.M.: Statistical distance and the geometry of quantum states. Phys. Rev. Lett. 72(22), 3439\u20133443 (1994)","journal-title":"Phys. Rev. Lett."},{"key":"2078_CR40","doi-asserted-by":"publisher","first-page":"28881","DOI":"10.1038\/srep28881","volume":"6","author":"MA Ciampini","year":"2016","unstructured":"Ciampini, M.A., Spagnolo, N., Vitelli, C., Pezz\u00e8, L., Smerzi, A., Sciarrino, F.: Quantum-enhanced multiparameter estimation in multiarm interferometers. Sci. Rep. 6, 28881 (2016)","journal-title":"Sci. Rep."},{"key":"2078_CR41","doi-asserted-by":"publisher","first-page":"032103","DOI":"10.1103\/PhysRevA.94.032103","volume":"94","author":"AH Kiilerich","year":"2016","unstructured":"Kiilerich, A.H., M\u00f8lmer, K.: Bayesian parameter estimation by continuous homodyne detection. Phys. Rev. A 94, 032103 (2016)","journal-title":"Phys. Rev. A"},{"key":"2078_CR42","doi-asserted-by":"publisher","first-page":"1169","DOI":"10.1126\/science.1231930","volume":"339","author":"MH Devoret","year":"2013","unstructured":"Devoret, M.H., Schoelkopf, J.R.: Superconducting circuits and quantum information: an outlook. Science 339, 1169\u20131174 (2013)","journal-title":"Science"},{"key":"2078_CR43","doi-asserted-by":"publisher","first-page":"012112","DOI":"10.1103\/PhysRevA.77.012112","volume":"77","author":"J Gambetta","year":"2008","unstructured":"Gambetta, J., Blais, A., Boissonneault, M., Houck, A.A., Schuster, D.I., Girvin, S.M.: Quantum trajectory approach to circuit QED: quantum jumps and the Zeno effect. Phys. Rev. A 77, 012112 (2008)","journal-title":"Phys. Rev. A"},{"key":"2078_CR44","doi-asserted-by":"publisher","first-page":"012119","DOI":"10.1103\/PhysRevA.97.012119","volume":"97","author":"Y Yang","year":"2018","unstructured":"Yang, Y., Gong, B., Cui, W.: Real-time quantum state estimation in circuit QED via the Bayesian approach. Phys. Rev. A 97, 012119 (2018)","journal-title":"Phys. Rev. A"},{"key":"2078_CR45","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1016\/j.sysconle.2010.03.008","volume":"59","author":"B Qi","year":"2010","unstructured":"Qi, B., Guo, L.: Is measurement-based feedback still better for quantum control systems? Syst. Control Lett. 59, 333\u2013339 (2010)","journal-title":"Syst. Control Lett."},{"key":"2078_CR46","doi-asserted-by":"publisher","first-page":"20492","DOI":"10.1038\/srep20492","volume":"6","author":"W Feng","year":"2016","unstructured":"Feng, W., Liang, P.F., Qin, L.P., Li, X.Q.: Exact quantum Bayesian rule for qubit measurement in circuit QED. Sci. Rep. 6, 20492 (2016)","journal-title":"Sci. Rep."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11128-018-2078-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-018-2078-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-018-2078-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,25]],"date-time":"2019-09-25T19:31:31Z","timestamp":1569439891000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11128-018-2078-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,9,26]]},"references-count":46,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2018,11]]}},"alternative-id":["2078"],"URL":"https:\/\/doi.org\/10.1007\/s11128-018-2078-4","relation":{},"ISSN":["1570-0755","1573-1332"],"issn-type":[{"value":"1570-0755","type":"print"},{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,9,26]]},"assertion":[{"value":"12 June 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 September 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 September 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"301"}}