×

Lower bounds on the size of general Schrödinger-cat states from experimental data. (English) Zbl 1362.81013

Summary: Experimental progress with meso- and macroscopic quantum states (i.e. general Schrödinger-cat states) was recently accompanied by theoretical proposals on how to measure the merit of these efforts. So far, experiment and theory have been disconnected as theoretical analysis of actual experimental data was missing. Here, we consider a proposal for macroscopic quantum states that measures the extent of quantum coherence present in the system. For this, the quantum Fisher information is used. We calculate lower bounds from real experimental data. The results are expressed as an ‘effective size’, that is, relative to ‘classical’ reference states. We find remarkable numbers of up to 70 in photonic and atomic systems.

MSC:

81P40 Quantum coherence, entanglement, quantum correlations
81P05 General and philosophical questions in quantum theory
94A17 Measures of information, entropy

References:

[1] Tóth G and Apellaniz I 2014 J. Phys. A: Math. Theor.47 424006 · Zbl 1302.81026 · doi:10.1088/1751-8113/47/42/424006
[2] Fröwis F and Dür W 2012 New J. Phys.14 093039 · Zbl 1448.81038 · doi:10.1088/1367-2630/14/9/093039
[3] Eberle T, Händchen V and Schnabel R 2013 Opt. Express21 11546 · doi:10.1364/OE.21.011546
[4] Hosten O, Engelsen N J, Krishnakumar R and Kasevich M A 2016 Nature529 505 · doi:10.1038/nature16176
[5] Monz T, Schindler P, Barreiro J T, Chwalla M, Nigg D, Coish W A, Harlander M, Hänsel W, Hennrich M and Blatt R 2011 Phys. Rev. Lett.106 130506 · doi:10.1103/PhysRevLett.106.130506
[6] Vlastakis B, Kirchmair G, Leghtas Z, Nigg S E, Frunzio L, Girvin S M, Mirrahimi M, Devoret M H and Schoelkopf R J 2013 Science342 607 · Zbl 1355.81054 · doi:10.1126/science.1243289
[7] Kienzler D, Flühmann C, Negnevitsky V, Lo H Y, Marinelli M, Nadlinger D and Home J P 2016 Phys. Rev. Lett.116 140402 · doi:10.1103/PhysRevLett.116.140402
[8] Wang C et al 2016 Science352 1087 · Zbl 1355.81020 · doi:10.1126/science.aaf2941
[9] Vahlbruch H, Mehmet M, Danzmann K and Schnabel R 2016 Phys. Rev. Lett.117 110801 · doi:10.1103/PhysRevLett.117.110801
[10] Leggett A J 1980 Prog. Theor. Phys. Suppl.69 80 · doi:10.1143/PTPS.69.80
[11] Shimizu A and Miyadera T 2002 Phys. Rev. Lett.89 270403 · doi:10.1103/PhysRevLett.89.270403
[12] Björk G and Mana P G L 2004 J. Opt. B: Quantum Semiclass. Opt.6 429 · doi:10.1088/1464-4266/6/11/001
[13] Cavalcanti E G and Reid M D 2006 Phys. Rev. Lett.97 170405 · doi:10.1103/PhysRevLett.97.170405
[14] Korsbakken J I, Whaley K B, Dubois J and Cirac J I 2007 Phys. Rev. A 75 042106 · doi:10.1103/PhysRevA.75.042106
[15] Marquardt F, Abel B and von Delft J 2008 Phys. Rev. A 78 012109 · doi:10.1103/PhysRevA.78.012109
[16] Lee C W and Jeong H 2011 Phys. Rev. Lett.106 220401 · doi:10.1103/PhysRevLett.106.220401
[17] Sekatski P, Sangouard N and Gisin N 2014 Phys. Rev. A 89 012116 · doi:10.1103/PhysRevA.89.012116
[18] Laghaout A, Neergaard-Nielsen J S and Andersen U L 2015 Opt. Commun.337 96 · doi:10.1016/j.optcom.2014.07.046
[19] Yadin B and Vedral V 2016 Phys. Rev. A 93 022122 · doi:10.1103/PhysRevA.93.022122
[20] Yu S 2013 arXiv:1302.5311
[21] Oudot E, Sekatski P, Fröwis F, Gisin N and Sangouard N 2015 J. Opt. Soc. Am. B 32 2190 · doi:10.1364/JOSAB.32.002190
[22] Kitagawa M and Ueda M 1993 Phys. Rev. A 47 5138 · doi:10.1103/PhysRevA.47.5138
[23] Pezzé L and Smerzi A 2009 Phys. Rev. Lett.102 100401 · doi:10.1103/PhysRevLett.102.100401
[24] Kholevo A 1974 Theory Probab. Appl.18 359 · Zbl 0289.62008 · doi:10.1137/1118039
[25] Hotta M and Ozawa M 2004 Phys. Rev. A 70 022327 · Zbl 1227.81040 · doi:10.1103/PhysRevA.70.022327
[26] Fröwis F, Schmied R and Gisin N 2015 Phys. Rev. A 92 012102 · doi:10.1103/PhysRevA.92.012102
[27] Fröwis F, Sekatski P and Dür W 2016 Phys. Rev. Lett.116 090801 · doi:10.1103/PhysRevLett.116.090801
[28] Strobel H, Muessel W, Linnemann D, Zibold T, Hume D B, Pezzè L, Smerzi A and Oberthaler M K 2014 Science345 424 · doi:10.1126/science.1250147
[29] Pezze L, Li Y, Li W and Smerzi A 2016 PNAS113 11459-64 · doi:10.1073/pnas.1603346113
[30] Macr T, Smerzi A and Pezzè L 2016 Phys. Rev. A 94 010102 · doi:10.1103/PhysRevA.94.010102
[31] Knee G C, Kakuyanagi K, Yeh M C, Matsuzaki Y, Toida H, Yamaguchi H, Leggett A J and Munro W J 2016 Nature Commun.7 13253 · doi:10.1038/ncomms13253
[32] Raimond J M and Haroche S 2006 Exploring the Quantum (Oxford: Oxford University Press) · Zbl 1118.81001
[33] Sørensen A, Duan L M, Cirac J I and Zoller P 2001 Nature409 63 · doi:10.1038/35051038
[34] Deléglise S, Dotsenko I, Sayrin C, Bernu J, Brune M, Raimond J M and Haroche S 2008 Nature455 510 · doi:10.1038/nature07288
[35] Jeong H, Noh C, Bae S, Angelakis D G and Ralph T C 2014 J. Opt. Soc. Am. B 31 3057 · doi:10.1364/JOSAB.31.003057
[36] Lücke B, Peise J, Vitagliano G, Arlt J, Santos L, Tóth G and Klempt C 2014 Phys. Rev. Lett.112 155304 · doi:10.1103/PhysRevLett.112.155304
[37] Harder G, Bartley T J, Lita A E, Nam S W, Gerrits T and Silberhorn C 2016 Phys. Rev. Lett.116 143601 · doi:10.1103/PhysRevLett.116.143601
[38] Apellaniz I, Kleinmann M, Gühne O and Toth G 2015 arXiv:1511.05203 [quant-ph]
[39] Dunningham J A, Burnett K and Barnett S M 2002 Phys. Rev. Lett.89 150401 · doi:10.1103/PhysRevLett.89.150401
[40] Leibfried D, Barrett M D, Schaetz T, Britton J, Chiaverini J, Itano W M, Jost J D, Langer C and Wineland D J 2004 Science304 1476 · doi:10.1126/science.1097576
[41] Wang T, Ghobadi R, Raeisi S and Simon C 2013 Phys. Rev. A 88 062114 · doi:10.1103/PhysRevA.88.062114
[42] Davis E, Bentsen G and Schleier-Smith M 2016 Phys. Rev. Lett.116 053601 · doi:10.1103/PhysRevLett.116.053601
[43] Landini M, Fattori M, Pezze L and Smerzi A 2014 New J. Phys.16 113074 · doi:10.1088/1367-2630/16/11/113074
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.