{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T08:34:03Z","timestamp":1762504443864},"reference-count":99,"publisher":"Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften","license":[{"start":{"date-parts":[[2021,4,28]],"date-time":"2021-04-28T00:00:00Z","timestamp":1619568000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001711","name":"Swiss National Science Foundation","doi-asserted-by":"crossref","award":["Ambizione PZ00P2- 186067"],"award-info":[{"award-number":["Ambizione PZ00P2- 186067"]}],"id":[{"id":"10.13039\/501100001711","id-type":"DOI","asserted-by":"crossref"}]},{"name":"EU Horizon 2020 program","award":["ERC Advanced Grant QENOCOBA No. 742102"],"award-info":[{"award-number":["ERC Advanced Grant QENOCOBA No. 742102"]}]}],"content-domain":{"domain":["quantum-journal.org"],"crossmark-restriction":false},"short-container-title":["Quantum"],"abstract":"<jats:p>We consider the estimation of a Hamiltonian parameter of a set of highly photosensitive samples, which are damaged after a few photons <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:msub><mml:mi>N<\/mml:mi><mml:mrow class=\"MJX-TeXAtom-ORD\"><mml:mi mathvariant=\"normal\">a<\/mml:mi><mml:mi mathvariant=\"normal\">b<\/mml:mi><mml:mi mathvariant=\"normal\">s<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:math> are absorbed, for a total time <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>T<\/mml:mi><\/mml:math>. The samples are modelled as a two mode photonic system, where photons simultaneously acquire information on the unknown parameter and are absorbed at a fixed rate. We show that arbitrarily intense coherent states can obtain information at a rate that scales at most linearly with <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:msub><mml:mi>N<\/mml:mi><mml:mrow class=\"MJX-TeXAtom-ORD\"><mml:mi mathvariant=\"normal\">a<\/mml:mi><mml:mi mathvariant=\"normal\">b<\/mml:mi><mml:mi mathvariant=\"normal\">s<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:math> and <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>T<\/mml:mi><\/mml:math>, whereas quantum states with finite intensity can overcome this bound. We characterise the quantum advantage as a function of <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:msub><mml:mi>N<\/mml:mi><mml:mrow class=\"MJX-TeXAtom-ORD\"><mml:mi mathvariant=\"normal\">a<\/mml:mi><mml:mi mathvariant=\"normal\">b<\/mml:mi><mml:mi mathvariant=\"normal\">s<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:math> and <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>T<\/mml:mi><\/mml:math>, as well as its robustness to imperfections (non-ideal detectors, finite preparation and measurement rates for quantum photonic states). We discuss an implementation in cavity QED, where Fock states are both prepared and measured by coupling atomic ensembles to the cavities. We show that superradiance, arising due to a collective coupling between the cavities and the atoms, can be exploited for improving the speed and efficiency of the measurement.<\/jats:p>","DOI":"10.22331\/q-2021-04-28-446","type":"journal-article","created":{"date-parts":[[2021,4,28]],"date-time":"2021-04-28T12:12:21Z","timestamp":1619611941000},"page":"446","update-policy":"http:\/\/dx.doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":7,"title":["Weakly invasive metrology: quantum advantage and physical implementations"],"prefix":"10.22331","volume":"5","author":[{"given":"M.","family":"Perarnau-Llobet","sequence":"first","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Quantenoptik, D-85748 Garching, Germany."},{"name":"Munich Center for Quantum Science and Technology (MCQST), Schellingstrasse 4, D-80799 M\u00fcnchen"},{"name":"D\u00e9partement de Physique Appliqu\u00e9e, Universit\u00e9 de Gen\u00e8ve, Gen\u00e8ve, Switzerland"}]},{"given":"D.","family":"Malz","sequence":"additional","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Quantenoptik, D-85748 Garching, Germany."},{"name":"Munich Center for Quantum Science and Technology (MCQST), Schellingstrasse 4, D-80799 M\u00fcnchen"}]},{"given":"J. I.","family":"Cirac","sequence":"additional","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Quantenoptik, D-85748 Garching, Germany."},{"name":"Munich Center for Quantum Science and Technology (MCQST), Schellingstrasse 4, D-80799 M\u00fcnchen"}]}],"member":"9598","published-online":{"date-parts":[[2021,4,28]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"V. Giovannetti, S. Lloyd, and L. Maccone, Nature Photonics 5, 222 (2011).","DOI":"10.1038\/nphoton.2011.35"},{"key":"1","doi-asserted-by":"publisher","unstructured":"G. T\u00f3th and I. Apellaniz, Journal of Physics A: Mathematical and Theoretical 47, 424006 (2014).","DOI":"10.1088\/1751-8113\/47\/42\/424006"},{"key":"2","doi-asserted-by":"publisher","unstructured":"R. Demkowicz-Dobrza\u0144ski, M. Jarzyna, and J. Ko\u0142ody\u0144ski, in Progress in Optics (Elsevier, 2015) pp. 345\u2013435.","DOI":"10.1016\/bs.po.2015.02.003"},{"key":"3","doi-asserted-by":"publisher","unstructured":"J. P. Dowling and K. P. Seshadreesan, Journal of Lightwave Technology 33, 2359 (2015).","DOI":"10.1109\/jlt.2014.2386795"},{"key":"4","doi-asserted-by":"publisher","unstructured":"E. Polino, M. Valeri, N. Spagnolo, and F. Sciarrino, AVS Quantum Science 2, 024703 (2020).","DOI":"10.1116\/5.0007577"},{"key":"5","doi-asserted-by":"publisher","unstructured":"C. M. Caves, Phys. Rev. D 23, 1693 (1981).","DOI":"10.1103\/PhysRevD.23.1693"},{"key":"6","doi-asserted-by":"publisher","unstructured":"M. J. Holland and K. Burnett, Phys. Rev. Lett. 71, 1355 (1993).","DOI":"10.1103\/PhysRevLett.71.1355"},{"key":"7","doi-asserted-by":"publisher","unstructured":"J. J. . Bollinger, W. M. Itano, D. J. Wineland, and D. J. Heinzen, Phys. Rev. A 54, R4649 (1996).","DOI":"10.1103\/PhysRevA.54.R4649"},{"key":"8","doi-asserted-by":"publisher","unstructured":"K. C. Neuman, E. H. Chadd, G. F. Liou, K. Bergman, and S. M. Block, Biophysical Journal 77, 2856 (1999).","DOI":"10.1016\/s0006-3495(99)77117-1"},{"key":"9","doi-asserted-by":"publisher","unstructured":"E. J. Peterman, F. Gittes, and C. F. Schmidt, Biophysical Journal 84, 1308 (2003).","DOI":"10.1016\/s0006-3495(03)74946-7"},{"key":"10","doi-asserted-by":"publisher","unstructured":"R. Cole, Cell Adhesion & Migration 8, 452 (2014).","DOI":"10.4161\/cam.28348"},{"key":"11","doi-asserted-by":"publisher","unstructured":"M. A. Taylor, J. Janousek, V. Daria, J. Knittel, B. Hage, H.-A. Bachor, and W. P. Bowen, Nature Photonics 7, 229 (2013).","DOI":"10.1038\/nphoton.2012.346"},{"key":"12","doi-asserted-by":"publisher","unstructured":"M. A. Taylor, J. Janousek, V. Daria, J. Knittel, B. Hage, H.-A. Bachor, and W. P. Bowen, Phys. Rev. X 4, 011017 (2014).","DOI":"10.1103\/PhysRevX.4.011017"},{"key":"13","doi-asserted-by":"publisher","unstructured":"M. A. Taylor and W. P. Bowen, Physics Reports 615, 1 (2016).","DOI":"10.1016\/j.physrep.2015.12.002"},{"key":"14","doi-asserted-by":"publisher","unstructured":"R. Whittaker, C. Erven, A. Neville, M. Berry, J. L. O'Brien, H. Cable, and J. C. F. Matthews, New Journal of Physics 19, 023013 (2017).","DOI":"10.1088\/1367-2630\/aa5512"},{"key":"15","doi-asserted-by":"publisher","unstructured":"M. Pototschnig, Y. Chassagneux, J. Hwang, G. Zumofen, A. Renn, and V. Sandoghdar, Phys. Rev. Lett. 107, 063001 (2011).","DOI":"10.1103\/PhysRevLett.107.063001"},{"key":"16","doi-asserted-by":"publisher","unstructured":"K. Eckert, O. Romero-Isart, M. Rodriguez, M. Lewenstein, E. S. Polzik, and A. Sanpera, Nature Physics 4, 50 (2007).","DOI":"10.1038\/nphys776"},{"key":"17","doi-asserted-by":"publisher","unstructured":"F. Wolfgramm, C. Vitelli, F. A. Beduini, N. Godbout, and M. W. Mitchell, Nature Photonics 7, 28 (2012).","DOI":"10.1038\/nphoton.2012.300"},{"key":"18","doi-asserted-by":"publisher","unstructured":"T. Ono, R. Okamoto, and S. Takeuchi, Nature Communications 4 (2013), 10.1038\/ncomms3426.","DOI":"10.1038\/ncomms3426"},{"key":"19","doi-asserted-by":"publisher","unstructured":"S. F. Huelga, C. Macchiavello, T. Pellizzari, A. K. Ekert, M. B. Plenio, and J. I. Cirac, Phys. Rev. Lett. 79, 3865 (1997).","DOI":"10.1103\/PhysRevLett.79.3865"},{"key":"20","doi-asserted-by":"publisher","unstructured":"A. Shaji and C. M. Caves, Phys. Rev. A 76, 032111 (2007).","DOI":"10.1103\/PhysRevA.76.032111"},{"key":"21","doi-asserted-by":"publisher","unstructured":"A. J. Hayes, S. Dooley, W. J. Munro, K. Nemoto, and J. Dunningham, Quantum Science and Technology 3, 035007 (2018).","DOI":"10.1088\/2058-9565\/aac30b"},{"key":"22","doi-asserted-by":"publisher","unstructured":"Y. Matsuzaki, S. C. Benjamin, and J. Fitzsimons, Phys. Rev. A 84, 012103 (2011).","DOI":"10.1103\/PhysRevA.84.012103"},{"key":"23","doi-asserted-by":"publisher","unstructured":"A. W. Chin, S. F. Huelga, and M. B. Plenio, Phys. Rev. Lett. 109, 233601 (2012).","DOI":"10.1103\/PhysRevLett.109.233601"},{"key":"24","doi-asserted-by":"publisher","unstructured":"R. Chaves, J. B. Brask, M. Markiewicz, J. Ko\u0142ody\u0144ski, and A. Ac\u00edn, Phys. Rev. Lett. 111, 120401 (2013).","DOI":"10.1103\/PhysRevLett.111.120401"},{"key":"25","doi-asserted-by":"publisher","unstructured":"J. B. Brask, R. Chaves, and J. Ko\u0142ody\u0144ski, Phys. Rev. X 5, 031010 (2015).","DOI":"10.1103\/PhysRevX.5.031010"},{"key":"26","doi-asserted-by":"publisher","unstructured":"A. Smirne, J. Ko\u0142ody\u0144ski, S. F. Huelga, and R. Demkowicz-Dobrza\u0144ski, Phys. Rev. Lett. 116, 120801 (2016).","DOI":"10.1103\/PhysRevLett.116.120801"},{"key":"27","doi-asserted-by":"publisher","unstructured":"M. J. Woolley, G. J. Milburn, and C. M. Caves, New Journal of Physics 10, 125018 (2008).","DOI":"10.1088\/1367-2630\/10\/12\/125018"},{"key":"28","doi-asserted-by":"publisher","unstructured":"M. Beau and A. del Campo, Phys. Rev. Lett. 119, 010403 (2017).","DOI":"10.1103\/PhysRevLett.119.010403"},{"key":"29","doi-asserted-by":"publisher","unstructured":"M. Naghiloo, A. N. Jordan, and K. W. Murch, Phys. Rev. Lett. 119, 180801 (2017).","DOI":"10.1103\/PhysRevLett.119.180801"},{"key":"30","doi-asserted-by":"publisher","unstructured":"S. Pang and A. N. Jordan, Nature Communications 8 (2017), 10.1038\/ncomms14695.","DOI":"10.1038\/ncomms14695"},{"key":"31","unstructured":"L. Sun, X. He, C. You, C. Lv, B. Li, S. Lloyd, and X. Wang, arXiv preprint arXiv:2004.01216 (2020)."},{"key":"32","doi-asserted-by":"publisher","unstructured":"U. Dorner, New Journal of Physics 14, 043011 (2012).","DOI":"10.1088\/1367-2630\/14\/4\/043011"},{"key":"33","doi-asserted-by":"publisher","unstructured":"W. D\u00fcr, M. Skotiniotis, F. Fr\u00f6wis, and B. Kraus, Phys. Rev. Lett. 112, 080801 (2014).","DOI":"10.1103\/PhysRevLett.112.080801"},{"key":"34","doi-asserted-by":"publisher","unstructured":"E. M. Kessler, I. Lovchinsky, A. O. Sushkov, and M. D. Lukin, Phys. Rev. Lett. 112, 150802 (2014).","DOI":"10.1103\/PhysRevLett.112.150802"},{"key":"35","doi-asserted-by":"publisher","unstructured":"G. Arrad, Y. Vinkler, D. Aharonov, and A. Retzker, Phys. Rev. Lett. 112, 150801 (2014).","DOI":"10.1103\/PhysRevLett.112.150801"},{"key":"36","doi-asserted-by":"publisher","unstructured":"B. Escher, R. de Matos Filho, and L. Davidovich, Nature Physics 7, 406 (2011).","DOI":"10.1038\/nphys1958"},{"key":"37","doi-asserted-by":"publisher","unstructured":"R. Demkowicz-Dobrza\u0144ski, J. Ko\u0142ody\u0144ski, and M. Gu\u0163\u0103, Nature Communications 3 (2012), 10.1038\/ncomms2067.","DOI":"10.1038\/ncomms2067"},{"key":"38","doi-asserted-by":"publisher","unstructured":"J. Ko\u0142ody\u0144ski and R. Demkowicz-Dobrza\u0144ski, New Journal of Physics 15, 073043 (2013).","DOI":"10.1088\/1367-2630\/15\/7\/073043"},{"key":"39","unstructured":"S. I. Knysh, E. H. Chen, and G. A. Durkin, arXiv preprint arXiv:1402.0495 (2014)."},{"key":"40","doi-asserted-by":"publisher","unstructured":"S. Haroche and J.-M. Raimond, Exploring the Quantum, Vol. 5 (Oxford University Press, 2006) p. 11.","DOI":"10.1093\/acprof:oso\/9780198509141.001.0001"},{"key":"41","doi-asserted-by":"publisher","unstructured":"A. Blais, S. M. Girvin, and W. D. Oliver, Nature Physics 16, 247 (2020).","DOI":"10.1038\/s41567-020-0806-z"},{"key":"42","doi-asserted-by":"publisher","unstructured":"R. H. Dicke, Phys. Rev. 93, 99 (1954).","DOI":"10.1103\/physrev.93.99"},{"key":"43","doi-asserted-by":"publisher","unstructured":"F. Haas, J. Volz, R. Gehr, J. Reichel, and J. Esteve, Science 344, 180 (2014).","DOI":"10.1126\/science.1248905"},{"key":"44","doi-asserted-by":"publisher","unstructured":"M. A. Norcia, M. N. Winchester, J. R. K. Cline, and J. K. Thompson, Science Advances 2, e1601231 (2016).","DOI":"10.1126\/sciadv.1601231"},{"key":"45","doi-asserted-by":"publisher","unstructured":"M. Hosseini, Y. Duan, K. M. Beck, Y.-T. Chen, and V. Vuleti\u0107, Phys. Rev. Lett. 118, 183601 (2017).","DOI":"10.1103\/PhysRevLett.118.183601"},{"key":"46","doi-asserted-by":"publisher","unstructured":"J. Kim, D. Yang, S.-h. Oh, and K. An, Science 359, 662 (2018).","DOI":"10.1126\/science.aar2179"},{"key":"47","doi-asserted-by":"publisher","unstructured":"A. Frisk Kockum, A. Miranowicz, S. De Liberato, S. Savasta, and F. Nori, Nature Reviews Physics 1, 19 (2019), arXiv:1807.11636.","DOI":"10.1038\/s42254-018-0006-2"},{"key":"48","doi-asserted-by":"publisher","unstructured":"J. A. Mlynek, A. A. Abdumalikov, C. Eichler, and A. Wallraff, Nat. Commun. 5, 5186 (2014).","DOI":"10.1038\/ncomms6186"},{"key":"49","doi-asserted-by":"publisher","unstructured":"A. Goban, C.-L. Hung, J. Hood, S.-P. Yu, J. Muniz, O. Painter, and H. Kimble, Phys. Rev. Lett. 115, 063601 (2015).","DOI":"10.1103\/physrevlett.115.063601"},{"key":"50","doi-asserted-by":"publisher","unstructured":"P. Solano, P. Barberis-Blostein, F. K. Fatemi, L. A. Orozco, and S. L. Rolston, Nature Communications 8, 1857 (2017).","DOI":"10.1038\/s41467-017-01994-3"},{"key":"51","doi-asserted-by":"publisher","unstructured":"J. L. O'Brien, A. Furusawa, and J. Vu\u010dkovi\u0107, Nature Photonics 3, 687 (2009).","DOI":"10.1038\/nphoton.2009.229"},{"key":"52","doi-asserted-by":"publisher","unstructured":"A. Gonz\u00e1lez-Tudela, V. Paulisch, H. J. Kimble, and J. I. Cirac, Phys. Rev. Lett. 118, 213601 (2017).","DOI":"10.1103\/PhysRevLett.118.213601"},{"key":"53","doi-asserted-by":"publisher","unstructured":"V. Paulisch, H. J. Kimble, J. I. Cirac, and A. Gonz\u00e1lez-Tudela, Phys. Rev. A 97, 053831 (2018).","DOI":"10.1103\/PhysRevA.97.053831"},{"key":"54","doi-asserted-by":"publisher","unstructured":"M. Uria, P. Solano, and C. Hermann-Avigliano, Phys. Rev. Lett. 125, 093603 (2020).","DOI":"10.1103\/PhysRevLett.125.093603"},{"key":"55","unstructured":"C. Groiseau, A. E. Elliott, S. J. Masson, and S. Parkins, arXiv preprint arXiv:2012.00246 (2020)."},{"key":"56","doi-asserted-by":"publisher","unstructured":"G. Romero, J. J. Garc\u00eda-Ripoll, and E. Solano, Physical Review Letters 102, 173602 (2009).","DOI":"10.1103\/PhysRevLett.102.173602"},{"key":"57","doi-asserted-by":"publisher","unstructured":"B. Peropadre, G. Romero, G. Johansson, C. M. Wilson, E. Solano, and J. J. Garc\u00eda-Ripoll, Physical Review A 84, 063834 (2011).","DOI":"10.1103\/PhysRevA.84.063834"},{"key":"58","doi-asserted-by":"publisher","unstructured":"D. Malz and J. I. Cirac, Phys. Rev. Research 2, 033091 (2020).","DOI":"10.1103\/PhysRevResearch.2.033091"},{"key":"59","doi-asserted-by":"publisher","unstructured":"V. Paulisch, M. Perarnau-Llobet, A. Gonz\u00e1lez-Tudela, and J. I. Cirac, Physical Review A 99, 043807 (2019a).","DOI":"10.1103\/PhysRevA.99.043807"},{"key":"60","doi-asserted-by":"publisher","unstructured":"M. Perarnau-Llobet, A. Gonz\u00e1lez-Tudela, and J. I. Cirac, Quantum Science and Technology 5, 025003 (2020).","DOI":"10.1088\/2058-9565\/ab6ce5"},{"key":"61","unstructured":"C. W. Helstrom, Quantum Detection and Estimation Theory (Elsevier Science, 1976)."},{"key":"62","unstructured":"A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory (Statistics & Probability) (English and Russian Edition) (Elsevier Science, 1982)."},{"key":"63","doi-asserted-by":"publisher","unstructured":"S. L. Braunstein and C. M. Caves, Phys. Rev. Lett. 72, 3439 (1994).","DOI":"10.1103\/PhysRevLett.72.3439"},{"key":"64","doi-asserted-by":"publisher","unstructured":"A. Fujiwara and H. Imai, Journal of Physics A: Mathematical and Theoretical 41, 255304 (2008).","DOI":"10.1088\/1751-8113\/41\/25\/255304"},{"key":"65","doi-asserted-by":"publisher","unstructured":"S. Knysh, V. N. Smelyanskiy, and G. A. Durkin, Phys. Rev. A 83, 021804 (2011).","DOI":"10.1103\/PhysRevA.83.021804"},{"key":"66","doi-asserted-by":"publisher","unstructured":"R. A. Campos, C. C. Gerry, and A. Benmoussa, Phys. Rev. A 68, 023810 (2003).","DOI":"10.1103\/physreva.68.023810"},{"key":"67","doi-asserted-by":"publisher","unstructured":"A. Datta, L. Zhang, N. Thomas-Peter, U. Dorner, B. J. Smith, and I. A. Walmsley, Phys. Rev. A 83, 063836 (2011).","DOI":"10.1103\/PhysRevA.83.063836"},{"key":"68","doi-asserted-by":"publisher","unstructured":"M. G. A. Paris, International Journal of Quantum Information 07, 125 (2009).","DOI":"10.1142\/s0219749909004839"},{"key":"69","doi-asserted-by":"publisher","unstructured":"T. Kim, O. Pfister, M. J. Holland, J. Noh, and J. L. Hall, Phys. Rev. A 57, 4004 (1998).","DOI":"10.1103\/PhysRevA.57.4004"},{"key":"70","doi-asserted-by":"publisher","unstructured":"L. Pezz\u00e9 and A. Smerzi, Phys. Rev. Lett. 110, 163604 (2013).","DOI":"10.1103\/PhysRevLett.110.163604"},{"key":"71","doi-asserted-by":"publisher","unstructured":"W. Zhong, Y. Huang, X. Wang, and S.-L. Zhu, Phys. Rev. A 95, 052304 (2017).","DOI":"10.1103\/PhysRevA.95.052304"},{"key":"72","doi-asserted-by":"publisher","unstructured":"B. Yurke, S. L. McCall, and J. R. Klauder, Phys. Rev. A 33, 4033 (1986).","DOI":"10.1103\/PhysRevA.33.4033"},{"key":"73","doi-asserted-by":"publisher","unstructured":"S. Olivares and M. G. A. Paris, Optics and Spectroscopy 103, 231 (2007).","DOI":"10.1134\/S0030400X07080103"},{"key":"74","doi-asserted-by":"publisher","unstructured":"D. \u0160afr\u00e1nek and I. Fuentes, Phys. Rev. A 94, 062313 (2016).","DOI":"10.1103\/PhysRevA.94.062313"},{"key":"75","doi-asserted-by":"publisher","unstructured":"S. D. Huver, C. F. Wildfeuer, and J. P. Dowling, Phys. Rev. A 78, 063828 (2008).","DOI":"10.1103\/PhysRevA.78.063828"},{"key":"76","doi-asserted-by":"publisher","unstructured":"U. Dorner, R. Demkowicz-Dobrzanski, B. J. Smith, J. S. Lundeen, W. Wasilewski, K. Banaszek, and I. A. Walmsley, Phys. Rev. Lett. 102, 040403 (2009).","DOI":"10.1103\/PhysRevLett.102.040403"},{"key":"77","doi-asserted-by":"publisher","unstructured":"R. Demkowicz-Dobrzanski, U. Dorner, B. J. Smith, J. S. Lundeen, W. Wasilewski, K. Banaszek, and I. A. Walmsley, Phys. Rev. A 80, 013825 (2009).","DOI":"10.1103\/PhysRevA.80.013825"},{"key":"78","doi-asserted-by":"publisher","unstructured":"H. Cable and G. A. Durkin, Phys. Rev. Lett. 105, 013603 (2010).","DOI":"10.1103\/PhysRevLett.105.013603"},{"key":"79","doi-asserted-by":"publisher","unstructured":"J. Calsamiglia, B. Gendra, R. Mu\u00f1oz-Tapia, and E. Bagan, New Journal of Physics 18, 103049 (2016).","DOI":"10.1088\/1367-2630\/18\/10\/103049"},{"key":"80","doi-asserted-by":"publisher","unstructured":"T. Matsubara, P. Facchi, V. Giovannetti, and K. Yuasa, New Journal of Physics 21, 033014 (2019).","DOI":"10.1088\/1367-2630\/ab0604"},{"key":"81","doi-asserted-by":"publisher","unstructured":"F. Wolf, C. Shi, J. C. Heip, M. Gessner, L. Pezz\u00e8, A. Smerzi, M. Schulte, K. Hammerer, and P. O. Schmidt, Nature Communications 10 (2019), 10.1038\/s41467-019-10576-4.","DOI":"10.1038\/s41467-019-10576-4"},{"key":"82","doi-asserted-by":"publisher","unstructured":"V. Paulisch, M. Perarnau-Llobet, A. Gonz\u00e1lez-Tudela, and J. I. Cirac, Phys. Rev. A 99, 043807 (2019b).","DOI":"10.1103\/PhysRevA.99.043807"},{"key":"83","doi-asserted-by":"publisher","unstructured":"H. Walther, B. T. H. Varcoe, B.-G. Englert, and T. Becker, Reports on Progress in Physics 69, 1325 (2006).","DOI":"10.1088\/0034-4885\/69\/5\/R02"},{"key":"84","doi-asserted-by":"publisher","unstructured":"M. Hennrich, T. Legero, A. Kuhn, and G. Rempe, Physical Review Letters 85, 4872 (2000).","DOI":"10.1103\/PhysRevLett.85.4872"},{"key":"85","unstructured":"F. Mivehvar, F. Piazza, T. Donner, and H. Ritsch, (2021), arXiv:2102.04473."},{"key":"86","doi-asserted-by":"publisher","unstructured":"H. Zhang, R. McConnell, S. \u0106 uk, Q. Lin, M. H. Schleier-Smith, I. D. Leroux, and V. Vuleti\u0107, Physical Review Letters 109, 133603 (2012).","DOI":"10.1103\/PhysRevLett.109.133603"},{"key":"87","doi-asserted-by":"publisher","unstructured":"D. B. Hume, I. Stroescu, M. Joos, W. Muessel, H. Strobel, and M. K. Oberthaler, Physical Review Letters 111, 253001 (2013), arXiv:1307.7598.","DOI":"10.1103\/PhysRevLett.111.253001"},{"key":"88","doi-asserted-by":"publisher","unstructured":"E. Jeffrey, D. Sank, J. Y. Mutus, T. C. White, J. Kelly, R. Barends, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, A. Megrant, P. J. J. O'Malley, C. Neill, P. Roushan, A. Vainsencher, J. Wenner, A. N. Cleland, and J. M. Martinis, Physical Review Letters 112, 190504 (2014).","DOI":"10.1103\/PhysRevLett.112.190504"},{"key":"89","doi-asserted-by":"publisher","unstructured":"T. Walter, P. Kurpiers, S. Gasparinetti, P. Magnard, A. Poto\u010dnik, Y. Salath\u00e9, M. Pechal, M. Mondal, M. Oppliger, C. Eichler, and A. Wallraff, Physical Review Applied 7, 054020 (2017).","DOI":"10.1103\/PhysRevApplied.7.054020"},{"key":"90","doi-asserted-by":"publisher","unstructured":"R. Dassonneville, T. Ramos, V. Milchakov, L. Planat, Dumur, F. Foroughi, J. Puertas, S. Leger, K. Bharadwaj, J. Delaforce, C. Naud, W. Hasch-Guichard, J. J. Garc\u00eda-Ripoll, N. Roch, and O. Buisson, Physical Review X 10, 11045 (2020).","DOI":"10.1103\/PhysRevX.10.011045"},{"key":"91","doi-asserted-by":"publisher","unstructured":"M. W. Mitchell, Quantum Science and Technology 2, 044005 (2017).","DOI":"10.1088\/2058-9565\/aa80c0"},{"key":"92","doi-asserted-by":"publisher","unstructured":"R. J. Thompson, G. Rempe, and H. J. Kimble, Physical Review Letters 68, 1132 (1992).","DOI":"10.1103\/PhysRevLett.68.1132"},{"key":"93","doi-asserted-by":"publisher","unstructured":"M. Brune, F. Schmidt-Kaler, A. Maali, J. Dreyer, E. Hagley, J. M. Raimond, and S. Haroche, Physical Review Letters 76, 1800 (1996).","DOI":"10.1103\/PhysRevLett.76.1800"},{"key":"94","doi-asserted-by":"publisher","unstructured":"T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, Nature 432, 200 (2004).","DOI":"10.1038\/nature03119"},{"key":"95","doi-asserted-by":"publisher","unstructured":"A. Wallraff, D. I. Schuster, A. Blais, L. Frunzio, R.-S. Huang, J. Majer, S. Kumar, S. M. Girvin, and R. J. Schoelkopf, Nature 431, 162 (2004).","DOI":"10.1038\/nature02851"},{"key":"96","doi-asserted-by":"publisher","unstructured":"J. P. Reithmaier, G. S\u0119k, A. L\u00f6ffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, Nature 432, 197 (2004).","DOI":"10.1038\/nature02969"},{"key":"97","doi-asserted-by":"publisher","unstructured":"I. Chiorescu, P. Bertet, K. Semba, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Nature 431, 159 (2004).","DOI":"10.1038\/nature02831"},{"key":"98","doi-asserted-by":"publisher","unstructured":"A. Reiserer and G. Rempe, Reviews of Modern Physics 87, 1379 (2015).","DOI":"10.1103\/RevModPhys.87.1379"}],"container-title":["Quantum"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/quantum-journal.org\/papers\/q-2021-04-28-446\/pdf\/","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2021,4,28]],"date-time":"2021-04-28T12:13:12Z","timestamp":1619611992000},"score":1,"resource":{"primary":{"URL":"https:\/\/quantum-journal.org\/papers\/q-2021-04-28-446\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,4,28]]},"references-count":99,"URL":"https:\/\/doi.org\/10.22331\/q-2021-04-28-446","archive":["CLOCKSS"],"relation":{},"ISSN":["2521-327X"],"issn-type":[{"value":"2521-327X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,4,28]]},"article-number":"446"}}