Quantifying Process Nonclassicality in Bosonic Fields
-
Abstract
Nonclassicality of optical states, as a key characteristic of bosonic fields, is a valuable resource for quantum information processing. We investigate the generation of nonclassicality in quantum processes from a quantitative perspective, introduce three information-theoretic measures of nonclassicality for quantum-optical processes based on the Wigner–Yanase skew information and coherent states, and illustrate their physical significance through several well-known single-mode quantum processes. -
-
References
[1] Walls D F and Milburn G J 1994 Quantum Optics Berlin: Springer-Verlag[2] Mandel L and Wolf E 1995 Optical Coherence and Quantum Optics Cambridge: Cambridge University Press[3] Scully M O and Zubairy M S 1997 Quantum Optics Cambridge: Cambridge University Press[4] Dodonov V V 2002 J. Opt. B 4 R1 doi: 10.1088/1464-4266/4/1/201}[5] Dodonov V V and Man'ko V I 2003 Theory of Nonclassical States of Light London: Taylor & Francis[6] Haroche S and Raimond J M 2006 Exploring the Quantum Oxford: Oxford University Press[7] Vogel W and Welsch D G 2006 Quantum Optics Weinheim: Wiley-VCH[8] Li S B, Zou X B and Guo G C 2007 Phys. Rev. A 75 045801 doi: 10.1103/PhysRevA.75.045801}[9] Glauber R J 1963 Phys. Rev. 131 2766 doi: 10.1103/PhysRev.131.2766}[10] Sudarshan E C G 1963 Phys. Rev. Lett. 10 277 doi: 10.1103/PhysRevLett.10.277}[11] Titulaer U M and Glauber R J 1965 Phys. Rev. 140 B676 doi: 10.1103/PhysRev.140.B676}[12] Gerry C C and Knight P L 2005 Introductory Quantum Optics Cambridge: Cambridge University Press[13] Kim M S, Son W, Bužek V and Knight P L 2002 Phys. Rev. A 65 032323 doi: 10.1103/PhysRevA.65.032323}[14] Wang X B 2002 Phys. Rev. A 66 024303 doi: 10.1103/PhysRevA.66.024303}[15] Wang X B 2002 arXiv:0206127v2[16] Smith G, Smolin J A and Yard J 2011 Nat. Photon. 5 624 doi: 10.1038/nphoton.2011.203}[17] Lercher D, Giedke G and Wolf M M 2013 New J. Phys. 15 123003 doi: 10.1088/1367-2630/15/12/123003}[18] Hillery M 1987 Phys. Rev. A 35 725 doi: 10.1103/PhysRevA.35.725}[19] Dodonov V V, Man'ko O V, Man'ko V I and Wünsche A 2000 J. Mod. Opt. 47 633 doi: 10.1080/09500340008233385}[20] Wünsche A, Dodonov V V, Man'ko O V and Man'ko V I 3.0.CO;2-4}" target="_blank">2001 Fortschr. Phys. 49 1117 doi: 10.1002/1521-397820011049:10/11<1117::AID-PROP1117>3.0.CO;2-4}CrossRef 2001 Fortschr. Phys. 49 1117" target="_blank">Google Scholar
[21] Marian P, Marian T A and Scutaru H 2002 Phys. Rev. Lett. 88 153601 doi: 10.1103/PhysRevLett.88.153601}[22] Marian P, Marian T A and Scutaru H 2004 Phys. Rev. A 69 022104 doi: 10.1103/PhysRevA.69.022104}[23] Asbóth J K, Calsamiglia J and Ritsch H 2005 Phys. Rev. Lett. 94 173602 doi: 10.1103/PhysRevLett.94.173602}[24] Sun J W, Ding L E, Yang Q Y and Wei L F 2005 Acta Phys. Sin. 54 2704 in Chinese doi: 10.7498/aps.54.2704}[25] Ma A Q, Wang Q, Liu S T, Zeng R and Ma Z 2005 Acta Phys. Sin. 54 2049 in Chinese doi: 10.7498/aps.54.2049}[26] Hu L Y, Xu X X and Yuan H C 2010 Acta Phys. Sin. 59 4661 in Chinese doi: 10.7498/aps.59.4661}[27] Li J, Li G, Wang J M, Zhu S Y and Zhang T C 2010 J. Phys. B: At. Mol. Opt. Phys. 43 085504 doi: 10.1088/0953-4075/43/8/085504}[28] Tavassoly M K and Jalali H R 2013 Chin. Phys. B 22 084202 doi: 10.1088/1674-1056/22/8/084202}[29] Xu L J, Tan G B, Ma S J and Guo Q 2013 Chin. Phys. B 22 030311 doi: 10.1088/1674-1056/22/3/030311}[30] Xu X X, Yuan H C and Wang Y 2014 Chin. Phys. B 23 070301 doi: 10.1088/1674-1056/23/7/070301}[31] Wang Z, Li H M and Yuan H C 2014 J. Opt. Soc. Am. B 31 2163 doi: 10.1364/JOSAB.31.002163}[32] Li H M, Xu X X, Wang Z, Wan Z L and Jun X Y 2018 Int. J. Theor. Phys. 57 2892 doi: 10.1007/s10773-018-3808-1}[33] Luo S L and Zhang Y 2019 Phys. Rev. A accepted[34] Nielsen M A and Chuang I L 2010 Quantum Computation and Quantum Information Cambridge: Cambridge University Press[35] Kwiat P G, Barraza-Lopez S, Stefanov A and Gisin N 2001 Nature 409 1014 doi: 10.1038/35059017}[36] Furusawa A, Sørensen J L, Braunstein S L, Fuchs C A, Kimble H J and Polzik E S 1998 Science 282 706 doi: 10.1126/science.282.5389.706}[37] Rahimi-Keshari S, Kiesel T, Vogel W, Grandi S, Zavatta A and Bellini M 2013 Phys. Rev. Lett. 110 160401 doi: 10.1103/PhysRevLett.110.160401}[38] Sabapathy K K 2016 Phys. Rev. A 93 042103 doi: 10.1103/PhysRevA.93.042103}[39] Ryl S, Sperling J and Vogel W 2017 Phys. Rev. A 95 053825 doi: 10.1103/PhysRevA.95.053825}[40] Chen H B, Lo P Y, Gneiting C, Bae J, Chen Y N and Nori F 2018 arXiv:1811.09053v2[41] Sabapathy K K 2015 Phys. Rev. A 92 052301 doi: 10.1103/PhysRevA.92.052301}[42] Wigner E P and Yanase M M 1963 Proc. Natl. Acad. Sci. USA 49 910 doi: 10.1073/pnas.49.6.910}[43] Luo S L 2017 Phys. Rev. A 96 052126 doi: 10.1103/PhysRevA.96.052126}[44] Luo S L and Sun Y 2017 Phys. Rev. A 96 022130 doi: 10.1103/PhysRevA.96.022130}[45] Luo S L and Sun Y 2018 Phys. Rev. A 98 012113 doi: 10.1103/PhysRevA.98.012113}[46] Kim M S, Park E, Knight P L and Jeong H 2005 Phys. Rev. A 71 043805 doi: 10.1103/PhysRevA.71.043805}[47] Agarwal G S and Tara K 1991 Phys. Rev. A 43 492 doi: 10.1103/PhysRevA.43.492}[48] Usha Devi A R, Prabhu R and Uma M S 2006 Eur. Phys. J. D 40 133 doi: 10.1140/epjd/e2006-00135-x}[49] Yurke B and Stoler D 1986 Phys. Rev. Lett. 57 13 doi: 10.1103/PhysRevLett.57.13}[50] Vourdas A 1986 Phys. Rev. A 34 3466 doi: 10.1103/PhysRevA.34.3466}[51] Hall M J W 1994 Phys. Rev. A 50 3295 doi: 10.1103/PhysRevA.50.3295}[52] Musslimani Z H, Braunstein S L, Mann A and Revzen M 1995 Phys. Rev. A 51 4967 doi: 10.1103/PhysRevA.51.4967} -
Related Articles
[1] LI Nian-Qiang, PAN Wei, YAN Lian-Shan, LUO Bin, XU Ming-Feng, TANG Yi-Long. Quantifying Information Flow between Two Chaotic Semiconductor Lasers Using Symbolic Transfer Entropy [J]. Chin. Phys. Lett., 2012, 29(3): 030502. doi: 10.1088/0256-307X/29/3/030502 [2] HUANG Bei-Bing, WAN Shao-Long. A Finite Temperature Phase Diagram in Rotating Bosonic Optical Lattices [J]. Chin. Phys. Lett., 2011, 28(6): 060303. doi: 10.1088/0256-307X/28/6/060303 [3] LI Ben, CHEN Jing-Biao. Quantum Phase Transition of the Bosonic Atoms near the Feshbach Resonance in an Optical Lattice [J]. Chin. Phys. Lett., 2010, 27(12): 123701. doi: 10.1088/0256-307X/27/12/123701 [4] TIAN Jing, QIU Hai-Bo, CHEN Yong. Nonlocal Measure Synchronization in Coupled Bosonic Josephson Junctions [J]. Chin. Phys. Lett., 2010, 27(7): 070501. doi: 10.1088/0256-307X/27/7/070501 [5] SHI Chang-Guang, HIRAYAMA Minoru. Exact Bosonic Solutions of the Truncated Skyrme Model [J]. Chin. Phys. Lett., 2010, 27(6): 061101. doi: 10.1088/0256-307X/27/6/061101 [6] LI Wei-Bin, ZHAN Zhi-Ming, XIE Xiao-Tao, LUO Jin-Ming, WU Xuan. Analytical Results of Eigenstates and Eigenenergies by Mixing Models of Five Bosonic Modes [J]. Chin. Phys. Lett., 2004, 21(6): 1003-1005. [7] ZHAN Zhi-Ming, LI Wei-Bin, LI Jia-Hua, YANG Wen-Xing, CHEN Ai-Xi. Exact Eigenstates for a Class of Models Describing Multiphoton Processes in the Presence of Six Bosonic Modes [J]. Chin. Phys. Lett., 2004, 21(6): 983-986. [8] LIU Jian-Ye, XING Yong-Zhong, GUO Wen-Jun, ZUO Wei, LI Xi-Guo. Isospin Effects of the Mean Field and Two-Body Collision on the Fragmentation Process [J]. Chin. Phys. Lett., 2002, 19(8): 1078-1081. [9] TAO Bi-xiu. Bosonic Membranes and the Cosmic Matter-Structure Formation [J]. Chin. Phys. Lett., 1999, 16(9): 701-702. [10] HU Hongliang. CONFORMAL INVARIANT ACTION FOR BOSONIC MEMBRANES AND GAUGE FIXING [J]. Chin. Phys. Lett., 1989, 6(2): 49-52.