{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:27:25Z","timestamp":1740137245073,"version":"3.37.3"},"reference-count":93,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2022,8,13]],"date-time":"2022-08-13T00:00:00Z","timestamp":1660348800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,8,13]],"date-time":"2022-08-13T00:00:00Z","timestamp":1660348800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"DOI":"10.1007\/s11128-022-03631-5","type":"journal-article","created":{"date-parts":[[2022,8,13]],"date-time":"2022-08-13T19:02:42Z","timestamp":1660417362000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Gaussian entanglement properties in a completely dynamical Arthurs\u2013Kelly measurement process"],"prefix":"10.1007","volume":"21","author":[{"given":"J. A.","family":"Mendoza-Fierro","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7603-3667","authenticated-orcid":false,"given":"L. M.","family":"Ar\u00e9valo Aguilar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,8,13]]},"reference":[{"issue":"1","key":"3631_CR1","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1088\/1367-2630\/8\/1\/015","volume":"8","author":"G Adesso","year":"2006","unstructured":"Adesso, G., Illuminati, F.: Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems. New J. Phys. 8(1), 15 (2006)","journal-title":"New J. Phys."},{"issue":"3","key":"3631_CR2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.73.032345","volume":"73","author":"G Adesso","year":"2006","unstructured":"Adesso, G., Serafini, A., Illuminati, F.: Multipartite entanglement in three-mode Gaussian states of continuous-variable systems: quantification, sharing structure, and decoherence. Phys. Rev. A 73(3), 032345 (2006)","journal-title":"Phys. Rev. A"},{"key":"3631_CR3","doi-asserted-by":"publisher","first-page":"777","DOI":"10.1103\/PhysRev.47.777","volume":"47","author":"A Einstein","year":"1935","unstructured":"Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777\u2013780 (1935)","journal-title":"Phys. Rev."},{"issue":"823","key":"3631_CR4","first-page":"152","volume":"23","author":"E Schr\u00f6dinger","year":"1935","unstructured":"Schr\u00f6dinger, E.: Die gegenw\u00e4rtige situation in der quantenmechanik. Naturwissenschaften 23(823), 152 (1935)","journal-title":"Naturwissenschaften"},{"key":"3631_CR5","doi-asserted-by":"publisher","DOI":"10.1142\/3724","volume-title":"Introduction to Quantum Computation and Information","author":"H-K Lo","year":"1998","unstructured":"Lo, H.-K., Spiller, T., Popescu, S.: Introduction to Quantum Computation and Information. World Scientific, Singapore (1998)"},{"key":"3631_CR6","doi-asserted-by":"crossref","unstructured":"Nielsen, M.A., Chuang, I.: Quantum Computation and Quantum Information (2002)","DOI":"10.1119\/1.1463744"},{"issue":"7","key":"3631_CR7","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1038\/s42254-020-0193-5","volume":"2","author":"M Erhard","year":"2020","unstructured":"Erhard, M., Krenn, M., Zeilinger, A.: Advances in high-dimensional quantum entanglement. Nat. Rev. Phys. 2(7), 365\u2013381 (2020)","journal-title":"Nat. Rev. Phys."},{"issue":"5","key":"3631_CR8","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1038\/s41566-019-0532-1","volume":"14","author":"J Wang","year":"2020","unstructured":"Wang, J., Sciarrino, F., Laing, A., Thompson, M.G.: Integrated photonic quantum technologies. Nat. Photonics 14(5), 273\u2013284 (2020)","journal-title":"Nat. Photonics"},{"issue":"5","key":"3631_CR9","doi-asserted-by":"publisher","first-page":"38","DOI":"10.1038\/s41578-018-0008-9","volume":"3","author":"M Atat\u00fcre","year":"2018","unstructured":"Atat\u00fcre, M., Englund, D., Vamivakas, N., Lee, S.-Y., Wrachtrup, J.: Material platforms for spin-based photonic quantum technologies. Nat. Rev. Mater. 3(5), 38\u201351 (2018)","journal-title":"Nat. Rev. Mater."},{"issue":"9","key":"3631_CR10","doi-asserted-by":"publisher","first-page":"516","DOI":"10.1038\/s41566-018-0232-2","volume":"12","author":"DD Awschalom","year":"2018","unstructured":"Awschalom, D.D., Hanson, R., Wrachtrup, J., Zhou, B.B.: Quantum technologies with optically interfaced solid-state spins. Nat. Photonics 12(9), 516\u2013527 (2018)","journal-title":"Nat. Photonics"},{"issue":"13","key":"3631_CR11","doi-asserted-by":"publisher","first-page":"3866","DOI":"10.1073\/pnas.1419326112","volume":"112","author":"G Kurizki","year":"2015","unstructured":"Kurizki, G., Bertet, P., Kubo, Y., M\u00f8lmer, K., Petrosyan, D., Rabl, P., Schmiedmayer, J.: Quantum technologies with hybrid systems. Proc. Natl. Acad. Sci. 112(13), 3866\u20133873 (2015)","journal-title":"Proc. Natl. Acad. Sci."},{"issue":"12","key":"3631_CR12","doi-asserted-by":"publisher","first-page":"687","DOI":"10.1038\/nphoton.2009.229","volume":"3","author":"JL O\u2019brien","year":"2009","unstructured":"O\u2019brien, J.L., Furusawa, A., Vu\u010dkovi\u0107, J.: Photonic quantum technologies. Nat. Photonics 3(12), 687\u2013695 (2009)","journal-title":"Nat. Photonics"},{"issue":"2","key":"3631_CR13","doi-asserted-by":"publisher","first-page":"513","DOI":"10.1103\/RevModPhys.77.513","volume":"77","author":"SL Braunstein","year":"2005","unstructured":"Braunstein, S.L., van Loock, P.: Quantum information with continuous variables. Rev. Mod. Phys. 77(2), 513 (2005)","journal-title":"Rev. Mod. Phys."},{"key":"3631_CR14","volume-title":"Quantum Information with Continuous Variables","author":"SL Braunstein","year":"2012","unstructured":"Braunstein, S.L., Pati, A.K.: Quantum Information with Continuous Variables. Springer, Berlin (2012)"},{"issue":"9","key":"3631_CR15","doi-asserted-by":"publisher","first-page":"713","DOI":"10.1038\/nphys3410","volume":"11","author":"UL Andersen","year":"2015","unstructured":"Andersen, U.L., Neergaard-Nielsen, J.S., van Loock, P., Furusawa, A.: Hybrid discrete-and continuous-variable quantum information. Nat. Phys. 11(9), 713\u2013719 (2015)","journal-title":"Nat. Phys."},{"issue":"1","key":"3631_CR16","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1007\/s00220-006-0049-6","volume":"267","author":"N Schuch","year":"2006","unstructured":"Schuch, N., Cirac, J.I., Wolf, M.M.: Quantum states on harmonic lattices. Commun. Math. Phys. 267(1), 65\u201392 (2006)","journal-title":"Commun. Math. Phys."},{"issue":"5389","key":"3631_CR17","doi-asserted-by":"publisher","first-page":"706","DOI":"10.1126\/science.282.5389.706","volume":"282","author":"A Furusawa","year":"1998","unstructured":"Furusawa, A., S\u00f8rensen, J.L., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.S.: Unconditional quantum teleportation. Science 282(5389), 706\u2013709 (1998)","journal-title":"Science"},{"issue":"15","key":"3631_CR18","doi-asserted-by":"publisher","first-page":"3482","DOI":"10.1103\/PhysRevLett.84.3482","volume":"84","author":"P van Loock","year":"2000","unstructured":"van Loock, P., Braunstein, S.L.: Multipartite entanglement for continuous variables: a quantum teleportation network. Phys. Rev. Lett. 84(15), 3482 (2000)","journal-title":"Phys. Rev. Lett."},{"issue":"19","key":"3631_CR19","doi-asserted-by":"publisher","first-page":"4267","DOI":"10.1103\/PhysRevLett.86.4267","volume":"86","author":"C Silberhorn","year":"2001","unstructured":"Silberhorn, C., Lam, P.K., Weiss, O., K\u00f6nig, F., Korolkova, N., Leuchs, G.: Generation of continuous variable Einstein\u2013Podolsky\u2013Rosen entanglement via the Kerr nonlinearity in an optical fiber. Phys. Rev. Lett. 86(19), 4267 (2001)","journal-title":"Phys. Rev. Lett."},{"issue":"5","key":"3631_CR20","doi-asserted-by":"publisher","first-page":"052303","DOI":"10.1103\/PhysRevA.64.052303","volume":"64","author":"G Giedke","year":"2001","unstructured":"Giedke, G., Kraus, B., Lewenstein, M., Cirac, J.I.: Separability properties of three-mode Gaussian states. Phys. Rev. A 64(5), 052303 (2001)","journal-title":"Phys. Rev. A"},{"issue":"24","key":"3631_CR21","doi-asserted-by":"publisher","first-page":"247901","DOI":"10.1103\/PhysRevLett.87.247901","volume":"87","author":"P van Loock","year":"2001","unstructured":"van Loock, P., Braunstein, S.L.: Telecloning of continuous quantum variables. Phys. Rev. Lett. 87(24), 247901 (2001)","journal-title":"Phys. Rev. Lett."},{"issue":"3","key":"3631_CR22","doi-asserted-by":"publisher","first-page":"60","DOI":"10.1088\/1367-2630\/9\/3\/060","volume":"9","author":"G Adesso","year":"2007","unstructured":"Adesso, G., Serafini, A., Illuminati, F.: Optical state engineering, quantum communication, and robustness of entanglement promiscuity in three-mode gaussian states. New J. Phys. 9(3), 60 (2007)","journal-title":"New J. Phys."},{"issue":"7","key":"3631_CR23","doi-asserted-by":"publisher","first-page":"070501","DOI":"10.1103\/PhysRevLett.103.070501","volume":"103","author":"J Zhang","year":"2009","unstructured":"Zhang, J., Adesso, G., Xie, C., Peng, K.: Quantum teamwork for unconditional multiparty communication with Gaussian states. Phys. Rev. Lett. 103(7), 070501 (2009)","journal-title":"Phys. Rev. Lett."},{"issue":"10","key":"3631_CR24","doi-asserted-by":"publisher","first-page":"624","DOI":"10.1038\/nphoton.2011.203","volume":"5","author":"G Smith","year":"2011","unstructured":"Smith, G., Smolin, J.A., Yard, J.: Quantum communication with Gaussian channels of zero quantum capacity. Nat. Photonics 5(10), 624 (2011)","journal-title":"Nat. Photonics"},{"issue":"4","key":"3631_CR25","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11128-020-02627-3","volume":"19","author":"S Srikara","year":"2020","unstructured":"Srikara, S., Thapliyal, K., Pathak, A.: Continuous variable direct secure quantum communication using Gaussian states. Quantum Inf. Process. 19(4), 1\u201315 (2020)","journal-title":"Quantum Inf. Process."},{"issue":"2","key":"3631_CR26","doi-asserted-by":"publisher","first-page":"022309","DOI":"10.1103\/PhysRevA.61.022309","volume":"61","author":"M Hillery","year":"2000","unstructured":"Hillery, M.: Quantum cryptography with squeezed states. Phys. Rev. A 61(2), 022309 (2000)","journal-title":"Phys. Rev. A"},{"issue":"5","key":"3631_CR27","doi-asserted-by":"publisher","first-page":"052311","DOI":"10.1103\/PhysRevA.63.052311","volume":"63","author":"NJ Cerf","year":"2001","unstructured":"Cerf, N.J., Levy, M., Van Assche, G.: Quantum distribution of Gaussian keys using squeezed states. Phys. Rev. A 63(5), 052311 (2001)","journal-title":"Phys. Rev. A"},{"issue":"5","key":"3631_CR28","doi-asserted-by":"publisher","first-page":"057902","DOI":"10.1103\/PhysRevLett.88.057902","volume":"88","author":"F Grosshans","year":"2002","unstructured":"Grosshans, F., Grangier, P.: Continuous variable quantum cryptography using coherent states. Phys. Rev. Lett. 88(5), 057902 (2002)","journal-title":"Phys. Rev. Lett."},{"issue":"16","key":"3631_CR29","doi-asserted-by":"publisher","first-page":"167901","DOI":"10.1103\/PhysRevLett.89.167901","volume":"89","author":"C Silberhorn","year":"2002","unstructured":"Silberhorn, C., Ralph, T.C., L\u00fctkenhaus, N., Leuchs, G.: Continuous variable quantum cryptography: beating the 3 db loss limit. Phys. Rev. Lett. 89(16), 167901 (2002)","journal-title":"Phys. Rev. Lett."},{"key":"3631_CR30","doi-asserted-by":"crossref","unstructured":"Gottesman, D., Preskill, J.: Secure quantum key distribution using squeezed states. In: Quantum Information with Continuous Variables, pp. 317\u2013356. Springer, Berlin (2003)","DOI":"10.1007\/978-94-015-1258-9_22"},{"issue":"6920","key":"3631_CR31","doi-asserted-by":"publisher","first-page":"238","DOI":"10.1038\/nature01289","volume":"421","author":"F Grosshans","year":"2003","unstructured":"Grosshans, F., Van Assche, G., Wenger, J., Brouri, R., Cerf, N.J., Grangier, P.: Quantum key distribution using Gaussian-modulated coherent states. Nature 421(6920), 238\u2013241 (2003)","journal-title":"Nature"},{"issue":"17","key":"3631_CR32","doi-asserted-by":"publisher","first-page":"170504","DOI":"10.1103\/PhysRevLett.93.170504","volume":"93","author":"C Weedbrook","year":"2004","unstructured":"Weedbrook, C., Lance, A.M., Bowen, W.P., Symul, T., Ralph, T.C., Lam, P.K.: Quantum cryptography without switching. Phys Rev. Lett. 93(17), 170504 (2004)","journal-title":"Phys Rev. Lett."},{"issue":"01","key":"3631_CR33","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1007\/s11080-007-9030-x","volume":"14","author":"C Rod\u00f3","year":"2007","unstructured":"Rod\u00f3, C., Romero-Isart, O., Eckert, K., Sanpera, A.: Efficiency in quantum key distribution protocols with entangled Gaussian states. Open Syst. Inf. Dyn. 14(01), 69\u201380 (2007)","journal-title":"Open Syst. Inf. Dyn."},{"issue":"2","key":"3631_CR34","doi-asserted-by":"publisher","first-page":"621","DOI":"10.1103\/RevModPhys.84.621","volume":"84","author":"C Weedbrook","year":"2012","unstructured":"Weedbrook, C., Pirandola, S., Garc\u00eda-Patr\u00f3n, R., Cerf, N.J., Ralph, T.C., Shapiro, J.H., Lloyd, S.: Gaussian quantum information. Rev. Mod. Phys. 84(2), 621 (2012)","journal-title":"Rev. Mod. Phys."},{"issue":"4","key":"3631_CR35","doi-asserted-by":"publisher","first-page":"042303","DOI":"10.1103\/PhysRevA.98.042303","volume":"98","author":"J Zhou","year":"2018","unstructured":"Zhou, J., Huang, D., Guo, Y.: Long-distance continuous-variable quantum key distribution using separable Gaussian states. Phys. Rev. A 98(4), 042303 (2018)","journal-title":"Phys. Rev. A"},{"issue":"2","key":"3631_CR36","doi-asserted-by":"publisher","first-page":"1473","DOI":"10.1103\/PhysRevA.49.1473","volume":"49","author":"L Vaidman","year":"1994","unstructured":"Vaidman, L.: Teleportation of quantum states. Phys. Rev. A 49(2), 1473 (1994)","journal-title":"Phys. Rev. A"},{"issue":"4","key":"3631_CR37","doi-asserted-by":"publisher","first-page":"869","DOI":"10.1103\/PhysRevLett.80.869","volume":"80","author":"SL Braunstein","year":"1998","unstructured":"Braunstein, S.L., Jeff Kimble, H.: Teleportation of continuous quantum variables. Phys. Rev. Lett. 80(4), 869 (1998)","journal-title":"Phys. Rev. Lett."},{"issue":"2","key":"3631_CR38","doi-asserted-by":"publisher","first-page":"937","DOI":"10.1103\/PhysRevA.60.937","volume":"60","author":"GJ Milburn","year":"1999","unstructured":"Milburn, G.J., Braunstein, S.L.: Quantum teleportation with squeezed vacuum states. Phys. Rev. A 60(2), 937 (1999)","journal-title":"Phys. Rev. A"},{"issue":"5","key":"3631_CR39","doi-asserted-by":"publisher","first-page":"054304","DOI":"10.1103\/PhysRevA.69.054304","volume":"69","author":"M Ban","year":"2004","unstructured":"Ban, M.: Phase-space approach to continuous variable quantum teleportation. Phys. Rev. A 69(5), 054304 (2004)","journal-title":"Phys. Rev. A"},{"issue":"3","key":"3631_CR40","doi-asserted-by":"publisher","first-page":"032302","DOI":"10.1103\/PhysRevA.67.032302","volume":"67","author":"WP Bowen","year":"2003","unstructured":"Bowen, W.P., Treps, N., Buchler, B.C., Schnabel, R., Ralph, T.C., Bachor, H.A., Symul, T., Lam, P.K.: Experimental investigation of continuous-variable quantum teleportation. Phys. Rev. A 67(3), 032302 (2003)","journal-title":"Phys. Rev. A"},{"issue":"4","key":"3631_CR41","doi-asserted-by":"publisher","first-page":"042304","DOI":"10.1103\/PhysRevA.72.042304","volume":"72","author":"N Takei","year":"2005","unstructured":"Takei, N., Aoki, T., Koike, S., Yoshino, K., Wakui, K., Yonezawa, H., Hiraoka, T., Mizuno, J., Takeoka, M., Ban, M., et al.: Experimental demonstration of quantum teleportation of a squeezed state. Phys. Rev. A 72(4), 042304 (2005)","journal-title":"Phys. Rev. A"},{"issue":"15","key":"3631_CR42","doi-asserted-by":"publisher","first-page":"150503","DOI":"10.1103\/PhysRevLett.94.150503","volume":"94","author":"K Hammerer","year":"2005","unstructured":"Hammerer, K., Wolf, M.M., Polzik, E.S., Cirac, J.I.: Quantum benchmark for storage and transmission of coherent states. Phys. Rev. Lett. 94(15), 150503 (2005)","journal-title":"Phys. Rev. Lett."},{"issue":"15","key":"3631_CR43","doi-asserted-by":"publisher","first-page":"150503","DOI":"10.1103\/PhysRevLett.95.150503","volume":"95","author":"G Adesso","year":"2005","unstructured":"Adesso, G., Illuminati, F.: Equivalence between entanglement and the optimal fidelity of continuous variable teleportation. Phys. Rev. Lett. 95(15), 150503 (2005)","journal-title":"Phys. Rev. Lett."},{"issue":"7007","key":"3631_CR44","doi-asserted-by":"publisher","first-page":"430","DOI":"10.1038\/nature02858","volume":"431","author":"H Yonezawa","year":"2004","unstructured":"Yonezawa, H., Aoki, T., Furusawa, A.: Demonstration of a quantum teleportation network for continuous variables. Nature 431(7007), 430\u2013433 (2004)","journal-title":"Nature"},{"issue":"19","key":"3631_CR45","doi-asserted-by":"publisher","first-page":"190502","DOI":"10.1103\/PhysRevLett.109.190502","volume":"109","author":"G Adesso","year":"2012","unstructured":"Adesso, G., Girolami, D., Serafini, A.: Measuring Gaussian quantum information and correlations using the r\u00e9nyi entropy of order 2. Phys. Rev. Lett. 109(19), 190502 (2012)","journal-title":"Phys. Rev. Lett."},{"issue":"5","key":"3631_CR46","doi-asserted-by":"publisher","first-page":"050503","DOI":"10.1103\/PhysRevLett.98.050503","volume":"98","author":"T Hiroshima","year":"2007","unstructured":"Hiroshima, T., Adesso, G., Illuminati, F.: Monogamy inequality for distributed Gaussian entanglement. Phys. Rev. Lett. 98(5), 050503 (2007)","journal-title":"Phys. Rev. Lett."},{"key":"3631_CR47","volume-title":"Mathematische Grundlagen der Quantenmechanik","author":"J Von Neumann","year":"1932","unstructured":"Von Neumann, J.: Mathematische Grundlagen der Quantenmechanik. Springer, Berlin (1932)"},{"issue":"4","key":"3631_CR48","doi-asserted-by":"publisher","first-page":"725","DOI":"10.1002\/j.1538-7305.1965.tb01684.x","volume":"44","author":"E Arthurs","year":"1965","unstructured":"Arthurs, E., Kelly, J.L.: BSTJ briefs: on the simultaneous measurement of a pair of conjugate observables. Bell Syst. Tech. J. 44(4), 725\u2013729 (1965)","journal-title":"Bell Syst. Tech. J."},{"issue":"5","key":"3631_CR49","doi-asserted-by":"publisher","first-page":"052107","DOI":"10.1103\/PhysRevA.89.052107","volume":"89","author":"SM Roy","year":"2014","unstructured":"Roy, S.M., Deshpande, A., Sakharwade, N.: Remote tomography and entanglement swapping via von Neumann\u2013Arthurs\u2013Kelly interaction. Phys. Rev. A 89(5), 052107 (2014)","journal-title":"Phys. Rev. A"},{"issue":"2","key":"3631_CR50","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1016\/0003-4916(92)90086-2","volume":"218","author":"S Stenholm","year":"1992","unstructured":"Stenholm, S.: Simultaneous measurement of conjugate variables. Ann. Phys. 218(2), 233\u2013254 (1992)","journal-title":"Ann. Phys."},{"issue":"1","key":"3631_CR51","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1038\/s41598-018-33562-0","volume":"8","author":"MA Ochoa","year":"2018","unstructured":"Ochoa, M.A., Belzig, W., Nitzan, A.: Simultaneous weak measurement of non-commuting observables: a generalized Arthurs\u2013Kelly protocol. Sci. Rep. 8(1), 1\u20138 (2018)","journal-title":"Sci. Rep."},{"issue":"3","key":"3631_CR52","doi-asserted-by":"publisher","first-page":"60","DOI":"10.1088\/1367-2630\/9\/3\/060","volume":"9","author":"G Adesso","year":"2007","unstructured":"Adesso, G., Serafini, A., Illuminati, F.: Optical state engineering, quantum communication, and robustness of entanglement promiscuity in three-mode Gaussian states. New J. Phys. 9(3), 60 (2007)","journal-title":"New J. Phys."},{"issue":"6","key":"3631_CR53","doi-asserted-by":"publisher","first-page":"062318","DOI":"10.1103\/PhysRevA.79.062318","volume":"79","author":"M Gu","year":"2009","unstructured":"Gu, M., Weedbrook, C., Menicucci, N.C., Ralph, T.C., van Loock, P.: Quantum computing with continuous-variable clusters. Phys. Rev. A 79(6), 062318 (2009)","journal-title":"Phys. Rev. A"},{"issue":"11","key":"3631_CR54","doi-asserted-by":"publisher","first-page":"110501","DOI":"10.1103\/PhysRevLett.97.110501","volume":"97","author":"NC Menicucci","year":"2006","unstructured":"Menicucci, N.C., Van Loock, P., Gu, M., Weedbrook, C., Ralph, T.C., Nielsen, M.A.: Universal quantum computation with continuous-variable cluster states. Phys. Rev. Lett. 97(11), 110501 (2006)","journal-title":"Phys. Rev. Lett."},{"issue":"3","key":"3631_CR55","doi-asserted-by":"publisher","first-page":"032318","DOI":"10.1103\/PhysRevA.73.032318","volume":"73","author":"J Zhang","year":"2006","unstructured":"Zhang, J., Braunstein, S.L.: Continuous-variable Gaussian analog of cluster states. Phys. Rev. A 73(3), 032318 (2006)","journal-title":"Phys. Rev. A"},{"issue":"01\u201302","key":"3631_CR56","doi-asserted-by":"publisher","first-page":"1440001","DOI":"10.1142\/S1230161214400010","volume":"21","author":"G Adesso","year":"2014","unstructured":"Adesso, G., Ragy, S., Lee, A.R.: Continuous variable quantum information: Gaussian states and beyond. Open Syst. Inf. Dyn. 21(01\u201302), 1440001 (2014)","journal-title":"Open Syst. Inf. Dyn."},{"issue":"3","key":"3631_CR57","doi-asserted-by":"publisher","first-page":"035302","DOI":"10.1088\/1361-6404\/aaaad0","volume":"39","author":"TF Demarie","year":"2018","unstructured":"Demarie, T.F.: Pedagogical introduction to the entropy of entanglement for Gaussian states. Eur. J. Phys. 39(3), 035302 (2018)","journal-title":"Eur. J. Phys."},{"issue":"6","key":"3631_CR58","doi-asserted-by":"publisher","first-page":"471","DOI":"10.1007\/BF02848172","volume":"45","author":"B Dutta","year":"1995","unstructured":"Dutta, B., Mukunda, N., Simon, R., et al.: The real symplectic groups in quantum mechanics and optics. Pramana 45(6), 471\u2013497 (1995)","journal-title":"Pramana"},{"issue":"8","key":"3631_CR59","doi-asserted-by":"publisher","first-page":"3868","DOI":"10.1103\/PhysRevA.36.3868","volume":"36","author":"R Simon","year":"1987","unstructured":"Simon, R., Sudarshan, E.C.G., Mukunda, N.: Gaussian-Wigner distributions in quantum mechanics and optics. Phys. Rev. A 36(8), 3868 (1987)","journal-title":"Phys. Rev. A"},{"issue":"3","key":"3631_CR60","doi-asserted-by":"publisher","first-page":"1567","DOI":"10.1103\/PhysRevA.49.1567","volume":"49","author":"R Simon","year":"1994","unstructured":"Simon, R., Mukunda, N., Dutta, B.: Quantum-noise matrix for multimode systems: U(n) invariance, squeezing, and normal forms. Phys. Rev. A 49(3), 1567 (1994)","journal-title":"Phys. Rev. A"},{"issue":"11","key":"3631_CR61","doi-asserted-by":"publisher","first-page":"110402","DOI":"10.1103\/PhysRevLett.96.110402","volume":"96","author":"A Serafini","year":"2006","unstructured":"Serafini, A.: Multimode uncertainty relations and separability of continuous variable states. Phys. Rev. Lett. 96(11), 110402 (2006)","journal-title":"Phys. Rev. Lett."},{"issue":"1","key":"3631_CR62","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1140\/epjst\/e2012-01535-1","volume":"203","author":"MGA Paris","year":"2012","unstructured":"Paris, M.G.A.: The modern tools of quantum mechanics. Eur. Phys. J. Spec. Top. 203(1), 61\u201386 (2012)","journal-title":"Eur. Phys. J. Spec. Top."},{"issue":"24","key":"3631_CR63","doi-asserted-by":"publisher","first-page":"2447","DOI":"10.1103\/PhysRevLett.60.2447","volume":"60","author":"E Arthurs","year":"1988","unstructured":"Arthurs, E., Goodman, M.S.: Quantum correlations: a generalized Heisenberg uncertainty relation. Phys. Rev. Lett. 60(24), 2447 (1988)","journal-title":"Phys. Rev. Lett."},{"issue":"3","key":"3631_CR64","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1016\/0034-4877(91)90046-P","volume":"29","author":"S Ishikawa","year":"1991","unstructured":"Ishikawa, S.: Uncertainty relations in simultaneous measurements for arbitrary observables. Rep. Math. Phys. 29(3), 257\u2013273 (1991)","journal-title":"Rep. Math. Phys."},{"key":"3631_CR65","first-page":"3","volume-title":"Quantum Aspects of Optical Communications","author":"M Ozawa","year":"1991","unstructured":"Ozawa, M.: Quantum Aspects of Optical Communications, pp. 3\u201317. Springer, Berlin (1991)"},{"key":"3631_CR66","doi-asserted-by":"publisher","first-page":"954","DOI":"10.1140\/epjp\/s13360-021-01943-6","volume":"136","author":"JA Mendoza","year":"2021","unstructured":"Mendoza, J.A., Ar\u00e9valo Aguilar, L.M., Vel\u00e1zquez Aguilar, V.M.: Effects of the free evolution in the Arthurs\u2013Kelly model of simultaneous measurement and in the retrodictive predictions of the Heisenberg uncertainty relations. Eur. Phys. J. Plus 136, 954 (2021)","journal-title":"Eur. Phys. J. Plus"},{"issue":"4","key":"3631_CR67","doi-asserted-by":"publisher","first-page":"042117","DOI":"10.1103\/PhysRevA.82.042117","volume":"82","author":"M Bu\u00dfhardt","year":"2010","unstructured":"Bu\u00dfhardt, M., Freyberger, M.: Timing in quantum measurements of position and momentum. Phys. Rev. A 82(4), 042117 (2010)","journal-title":"Phys. Rev. A"},{"issue":"8","key":"3631_CR68","doi-asserted-by":"publisher","first-page":"688","DOI":"10.1119\/1.14505","volume":"54","author":"A Peres","year":"1986","unstructured":"Peres, A.: When is a quantum measurement? Am. J. Phys. 54(8), 688\u2013692 (1986)","journal-title":"Am. J. Phys."},{"issue":"10","key":"3631_CR69","doi-asserted-by":"publisher","first-page":"103006","DOI":"10.1088\/1367-2630\/ab4451","volume":"21","author":"K Patekar","year":"2019","unstructured":"Patekar, K., Hofmann, H.F.: The role of system-meter entanglement in controlling the resolution and decoherence of quantum measurements. New J. Phys. 21(10), 103006 (2019)","journal-title":"New J. Phys."},{"issue":"4","key":"3631_CR70","doi-asserted-by":"publisher","first-page":"1267","DOI":"10.1103\/RevModPhys.76.1267","volume":"76","author":"M Schlosshauer","year":"2005","unstructured":"Schlosshauer, M.: Decoherence, the measurement problem, and interpretations of quantum mechanics. Rev. Mod. Phys. 76(4), 1267 (2005)","journal-title":"Rev. Mod. Phys."},{"issue":"8","key":"3631_CR71","doi-asserted-by":"publisher","first-page":"080502","DOI":"10.1103\/PhysRevLett.96.080502","volume":"96","author":"MM Wolf","year":"2006","unstructured":"Wolf, M.M., Giedke, G., Cirac, J.I.: Extremality of Gaussian quantum states. Phys. Rev. Lett. 96(8), 080502 (2006)","journal-title":"Phys. Rev. Lett."},{"key":"3631_CR72","volume-title":"Quantum Information with Continuous Variables of Atoms and Light","author":"G Leuchs","year":"2007","unstructured":"Leuchs, G., Cerf, N.J., Polzik, E.S.: Quantum Information with Continuous Variables of Atoms and Light. Imperial College Press, London (2007)"},{"issue":"20","key":"3631_CR73","doi-asserted-by":"publisher","first-page":"2520","DOI":"10.1103\/PhysRevLett.57.2520","volume":"57","author":"LA Wu","year":"1986","unstructured":"Wu, L.A., Kimble, H.J., Hall, J.L., Wu, H.: Generation of squeezed states by parametric down conversion. Phys. Rev. Lett. 57(20), 2520 (1986)","journal-title":"Phys. Rev. Lett."},{"key":"3631_CR74","first-page":"121","volume":"1","author":"AI Lvovsky","year":"2015","unstructured":"Lvovsky, A.I.: Squeezed light. Photonics Sci. Found. Technol. Appl. 1, 121\u2013163 (2015)","journal-title":"Photonics Sci. Found. Technol. Appl."},{"issue":"2","key":"3631_CR75","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1088\/0031-8949\/75\/2\/012","volume":"75","author":"PG Quijas","year":"2007","unstructured":"Quijas, P.G., Aguilar, L.A.: Factorizing the time evolution operator. Phys. Scr. 75(2), 185 (2007)","journal-title":"Phys. Scr."},{"issue":"8","key":"3631_CR76","doi-asserted-by":"publisher","first-page":"4277","DOI":"10.1103\/PhysRevA.40.4277","volume":"40","author":"RF Werner","year":"1989","unstructured":"Werner, R.F.: Quantum states with Einstein\u2013Podolsky\u2013Rosen correlations admitting a hidden-variable model. Phys. Rev. A 40(8), 4277 (1989)","journal-title":"Phys. Rev. A"},{"issue":"2","key":"3631_CR77","doi-asserted-by":"publisher","first-page":"865","DOI":"10.1103\/RevModPhys.81.865","volume":"81","author":"R Horodecki","year":"2009","unstructured":"Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Quantum entanglement. Rev. Mod. Phys. 81(2), 865 (2009)","journal-title":"Rev. Mod. Phys."},{"issue":"6","key":"3631_CR78","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.90.062337","volume":"90","author":"RY Teh","year":"2014","unstructured":"Teh, R.Y., Reid, M.D.: Criteria for genuine n-partite continuous-variable entanglement and Einstein\u2013Podolsky\u2013Rosen steering. Phys. Rev. A 90(6), 062337 (2014)","journal-title":"Phys. Rev. A"},{"issue":"19","key":"3631_CR79","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.106.190502","volume":"106","author":"B Jungnitsch","year":"2011","unstructured":"Jungnitsch, B., Moroder, T., G\u00fchne, O.: Taming multiparticle entanglement. Phys. Rev. Lett. 106(19), 190502 (2011)","journal-title":"Phys. Rev. Lett."},{"issue":"4","key":"3631_CR80","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1088\/1367-2630\/8\/4\/051","volume":"8","author":"P Hyllus","year":"2006","unstructured":"Hyllus, P., Eisert, J.: Optimal entanglement witnesses for continuous-variable systems. New J. Phys. 8(4), 51 (2006)","journal-title":"New J. Phys."},{"issue":"8","key":"3631_CR81","doi-asserted-by":"publisher","first-page":"1413","DOI":"10.1103\/PhysRevLett.77.1413","volume":"77","author":"A Peres","year":"1996","unstructured":"Peres, A.: Separability criterion for density matrices. Phys. Rev. Lett. 77(8), 1413 (1996)","journal-title":"Phys. Rev. Lett."},{"issue":"1","key":"3631_CR82","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0375-9601(96)00706-2","volume":"223","author":"M Horodecki","year":"1996","unstructured":"Horodecki, M., Horodecki, P., Horodecki, R.: Separability of mixed states: necessary and sufficient conditions. Phys. Lett. A 223(1), 1\u20138 (1996)","journal-title":"Phys. Lett. A"},{"key":"3631_CR83","doi-asserted-by":"publisher","DOI":"10.1201\/9781315118727","volume-title":"Quantum Continuous Variables: A Primer of Theoretical Methods","author":"A Serafini","year":"2017","unstructured":"Serafini, A.: Quantum Continuous Variables: A Primer of Theoretical Methods. CRC Press, Boca Raton (2017)"},{"issue":"12","key":"3631_CR84","doi-asserted-by":"publisher","first-page":"2726","DOI":"10.1103\/PhysRevLett.84.2726","volume":"84","author":"R Simon","year":"2000","unstructured":"Simon, R.: Peres\u2013Horodecki separability criterion for continuous variable systems. Phys. Rev. Lett. 84(12), 2726 (2000)","journal-title":"Phys. Rev. Lett."},{"key":"3631_CR85","doi-asserted-by":"publisher","first-page":"3658","DOI":"10.1103\/PhysRevLett.86.3658","volume":"86","author":"RF Werner","year":"2001","unstructured":"Werner, R.F., Wolf, M.M.: Bound entangled Gaussian states. Phys. Rev. Lett. 86, 3658\u20133661 (2001)","journal-title":"Phys. Rev. Lett."},{"key":"3631_CR86","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139020411","volume-title":"Matrix Analysis","author":"RA Horn","year":"2012","unstructured":"Horn, R.A., Johnson, C.R.: Matrix Analysis. Cambridge University Press, Cambridge (2012)"},{"issue":"5","key":"3631_CR87","doi-asserted-by":"publisher","first-page":"052306","DOI":"10.1103\/PhysRevA.61.052306","volume":"61","author":"V Coffman","year":"2000","unstructured":"Coffman, V., Kundu, J., Wootters, W.K.: Distributed entanglement. Phys. Rev. A 61(5), 052306 (2000)","journal-title":"Phys. Rev. A"},{"key":"3631_CR88","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-46378-5","volume-title":"Principles of Advanced Mathematical Physics","author":"RD Richtmyer","year":"1978","unstructured":"Richtmyer, R.D., Burdorf, C.: Principles of Advanced Mathematical Physics. Springer, Berlin (1978)"},{"issue":"4","key":"3631_CR89","doi-asserted-by":"publisher","first-page":"657","DOI":"10.1088\/0143-0807\/26\/4\/012","volume":"26","author":"GB Roston","year":"2005","unstructured":"Roston, G.B., Casas, M., Plastino, A., Plastino, A.R.: Quantum entanglement, spin-1\/2 and the Stern\u2013Gerlach experiment. Eur. J. Phys. 26(4), 657 (2005)","journal-title":"Eur. J. Phys."},{"issue":"3","key":"3631_CR90","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1142\/S0219749907002736","volume":"7","author":"NL Harshman","year":"2007","unstructured":"Harshman, N.L.: Continuous-discrete entanglement: an example with non-relativistic particles. Quantum Inf. Comput. 7(3), 273\u2013280 (2007)","journal-title":"Quantum Inf. Comput."},{"issue":"2","key":"3631_CR91","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1140\/epjp\/i2019-12528-y","volume":"134","author":"JAM Fierro","year":"2019","unstructured":"Fierro, J.A.M., Aguilar, L.M.A.: Stern-Gerlach experiment with arbitrary spin: temporal evolution and entanglement. Eur. Phys. J. Plus 134(2), 82 (2019)","journal-title":"Eur. Phys. J. Plus"},{"issue":"1","key":"3631_CR92","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1038\/s41598-021-85508-8","volume":"11","author":"LM Ar\u00e9valo Aguilar","year":"2021","unstructured":"LM Ar\u00e9valo Aguilar: Nonlocal single particle steering generated through single particle entanglement. Sci. Rep. 11(1), 1\u201311 (2021)","journal-title":"Sci. Rep."},{"issue":"4","key":"3631_CR93","doi-asserted-by":"publisher","first-page":"42217","DOI":"10.1103\/PhysRevA.103.042217","volume":"103","author":"EB Rodr\u00edguez","year":"2021","unstructured":"Rodr\u00edguez, E.B., Mart\u00ednez, E.P., Aguilar, L.M.A.: Single-particle steering and nonlocality: the consecutive Stern-Gerlach experiments. Phys. Rev. A 103(4), 42217 (2021)","journal-title":"Phys. Rev. A"}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-022-03631-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-022-03631-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-022-03631-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,17]],"date-time":"2022-11-17T11:08:34Z","timestamp":1668683314000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-022-03631-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8,13]]},"references-count":93,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2022,8]]}},"alternative-id":["3631"],"URL":"https:\/\/doi.org\/10.1007\/s11128-022-03631-5","relation":{},"ISSN":["1573-1332"],"issn-type":[{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2022,8,13]]},"assertion":[{"value":"24 March 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 July 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 August 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"297"}}