中国物理B ›› 2019, Vol. 28 ›› Issue (2): 24204-024204.doi: 10.1088/1674-1056/28/2/024204
所属专题: TOPICAL REVIEW — Fundamental research under high magnetic fields
• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇 下一篇
Maimaitiyiming Tusun(麦麦提依明·吐孙), Xing Rong(荣星), Jiangfeng Du(杜江峰)
收稿日期:
2018-11-16
修回日期:
2018-12-07
出版日期:
2019-02-05
发布日期:
2019-02-05
通讯作者:
Jiangfeng Du
E-mail:djf@ustc.edu
基金资助:
Project supported by the National Key Research and Development Program of China (Grant Nos. 2018YFA0306600 and 2016YFB0501603), the Fund from the Chinese Academy of Sciences (Grant Nos. GJJSTD20170001, QYZDY-SSW-SLH004, and QYZDB-SSW-SLH005), and the Program from Anhui Initiative in Quantum Information Technologies, China (Grant No. AHY050000).
Maimaitiyiming Tusun(麦麦提依明·吐孙)1,2,3, Xing Rong(荣星)1,2, Jiangfeng Du(杜江峰)1,2
Received:
2018-11-16
Revised:
2018-12-07
Online:
2019-02-05
Published:
2019-02-05
Contact:
Jiangfeng Du
E-mail:djf@ustc.edu
Supported by:
Project supported by the National Key Research and Development Program of China (Grant Nos. 2018YFA0306600 and 2016YFB0501603), the Fund from the Chinese Academy of Sciences (Grant Nos. GJJSTD20170001, QYZDY-SSW-SLH004, and QYZDB-SSW-SLH005), and the Program from Anhui Initiative in Quantum Information Technologies, China (Grant No. AHY050000).
摘要:
Quantum computation provides a great speedup over its classical counterpart in solving some hard problems. The advantages of quantum computation come from the coherent superposition principle of quantum mechanics. Spin system is one of the most significant candidates to realize quantum computation. In this review, we focus on the recent experimental progress related to quantum coherence and some fundamental concepts such as the uncertainty principle in the spin systems. We shall first briefly introduce the quantum description of qubit, coherence, and decoherence. Based on this picture, preserving quantum coherence and detection of weak magnetic fields are presented. We also discuss the realization of precise quantum coherent control, adiabatic quantum factorization algorithm, and two aspects of uncertainty relations.
中图分类号: (Coherence)
麦麦提依明·吐孙, 吐孙, 荣星, 杜江峰. Physics of quantum coherence in spin systems[J]. 中国物理B, 2019, 28(2): 24204-024204.
Maimaitiyiming Tusun(麦麦提依明·吐孙), Xing Rong(荣星), Jiangfeng Du(杜江峰). Physics of quantum coherence in spin systems[J]. Chin. Phys. B, 2019, 28(2): 24204-024204.
[1] |
Wang Y, Liu R B and Sham L J 2006 Phy. Rev. B 74 195301
doi: 10.1103/PhysRevB.74.195301 |
[2] |
Hahn E L 1950 Phys. Rev. 80 580
doi: 10.1103/PhysRev.80.580 |
[3] | Schweiger H and Jeschke G 2001 Principles of Pulse Electron Paramagnetic Resonance (Oxford: Oxford University Press) |
[4] |
Morton J J L, Tyryshkin A M, Ardavan A, Benjamin S C, Porfyrakis K, Lyon S A and Briggs G A D 2006 Nat. Phys. 2 40
doi: 10.1038/nphys192 |
[5] | Khodjasteh K and Lidar D A 2006 Phys. Rev. Lett. 95 180501 |
[6] |
Santos L F and Viola L 2006 Phys. Rev. Lett. 97 150501
doi: 10.1103/PhysRevLett.97.150501 |
[7] | Yao W, Liu R B and Sham L J 2006 Phys. Rev. Lett. 98 077602 |
[8] |
Witzel W M and Sarma S D 2007 Phys. Rev. B 76 241303
doi: 10.1103/PhysRevB.76.241303 |
[9] |
Uhrig G S 2007 Phys. Rev. Lett. 98 100504
doi: 10.1103/PhysRevLett.98.100504 |
[10] |
Yang W and Liu R B 2008 Phys. Rev. Lett. 101 180403
doi: 10.1103/PhysRevLett.101.180403 |
[11] |
Viola L, Knill E and Lloyd S 1999 Phys. Rev. Lett. 82 2417
doi: 10.1103/PhysRevLett.82.2417 |
[12] | Du J F, Rong X, Zhao N, Wang Y, Yang J H and Liu R B 2009 Nature 461 265 |
[13] |
Wang Y, Rong X, Feng P B, Xu W J, Chong B, Su J H, Gong J B and Du J F 2011 Phys. Rev. Lett. 106 040501
doi: 10.1103/PhysRevLett.106.040501 |
[14] |
Wootters W K 1998 Phys. Rev. Lett. 80 2245
doi: 10.1103/PhysRevLett.80.2245 |
[15] |
Chiba M and Hirai A 1972 J. Phys. Soc. Jpn. 33 730
doi: 10.1143/JPSJ.33.730 |
[16] |
Tyryshkin A M, Lyon S A, Astashkin A V and Raitsimring A M 2003 Phys. Rev. B 68 193207
doi: 10.1103/PhysRevB.68.193207 |
[17] |
Rong X, Wang Z X, Jin F Z, Geng J P, Feng P B, Xu N Y, Wang Y, Ju C Y, Shi M J and Du J F 2012 Phys. Rev. B 86 104425
doi: 10.1103/PhysRevB.86.104425 |
[18] |
Rong X, Jin F Z, Wang Z X, Geng J P, Ju C Y, Wang Y, Zhang R M, Duan C K, Shi M J and Du J F 2013 Phys. Rev. B 88 054419
doi: 10.1103/PhysRevB.88.054419 |
[19] |
Anderson P W 1954 J. Phys. Soc. Jpn. 9 316
doi: 10.1143/JPSJ.9.316 |
[20] |
Kubo R 1954 J. Phys. Soc. Jpn. 9 935
doi: 10.1143/JPSJ.9.935 |
[21] |
Berman P R and Brewer R G 1985 Phys. Rev. A 32 2784
doi: 10.1103/PhysRevA.32.2784 |
[22] |
Loring R F and Mukamel S 1985 Chem. Phys. Lett. 114 426
doi: 10.1016/0009-2614(85)85113-7 |
[23] | Zhao N, Wang Z Y and Liu R B 1998 Phys. Rev. Lett. 106 217205 |
[24] |
Huang P, Kong X, Zhao N, Shi F Z, Wang P F, Rong X, Liu R B and Du J F 2011 Nat. Commun. 2 570
doi: 10.1038/ncomms1579 |
[25] |
Maze J R, Taylor J M and Lukin M D 2008 Phys. Rev. B 78 094303
doi: 10.1103/PhysRevB.78.094303 |
[26] |
Zhao N, Hu J L, Ho S W, Wan J T K and Liu R B 2011 Nat. Nanotech. 6 242
doi: 10.1038/nnano.2011.22 |
[27] |
Zhao N, Ho S W and Liu R B 2012 Phys. Rev. B 85 115303
doi: 10.1103/PhysRevB.85.115303 |
[28] |
Lange G D, Wang Z, Riste D, Dobrovitski V V and Hanson R 2010 Science 330 60
doi: 10.1126/science.1192739 |
[29] |
Ryan C A, Hodges J S and Cory D G 2010 Phys. Rev. Lett. 105 200402
doi: 10.1103/PhysRevLett.105.200402 |
[30] |
Naydenov B, Dolde F, Hall L T, Shin C, Fedder H, Hollenberg L C, Jelezko F and Wrachtrup J 2011 Phys. Rev. B 83 081201
doi: 10.1103/PhysRevB.83.081201 |
[31] |
Taylor J M, Cappellaro P, Childress L, Jiang L, Budker D, Hemmer P R, Yacoby R A, Walsworth R and Lukin M D 2008 Nat. Phys. 4 810
doi: 10.1038/nphys1075 |
[32] | Loubser J H N and Wyk J A V 1977 Diamond Research 11 4 |
[33] |
Loubser J H N and Wyk J A V 1978 Rep. Prog. Phys. 41 1201
doi: 10.1088/0034-4885/41/8/002 |
[34] |
Ma W C, Chen B, Liu Y, Wang M Q, Ye X Y, Kong F, Shi F Z, Fei S M and Du J F 2017 Phys. Rev. Lett. 118 180402
doi: 10.1103/PhysRevLett.118.180402 |
[35] |
Robledo L, Childress L, Bernien H, Hensen B, Alkemade P F A and Hanson R 2011 Nature 477 574
doi: 10.1038/nature10401 |
[36] |
Maze J R, Stanwix P L, Hodges J S, Hong S, Taylor J M, Cappellaro P, Jiang L, Dutt M V G, Togan E, Zibrov A S, Yacoby A, Walsworth R L and Lukin M D 2008 Nature 455 644
doi: 10.1038/nature07279 |
[37] |
Balasubramanian G, Neumann P, Twitchen D, Markham M, Kolesov R, Mizuochi N, Beck J, Tissler J, Jacques V, Hemmer P R, Jelezko F and Wrachtrup J 2009 Nat. Mater. 8 383
doi: 10.1038/nmat2420 |
[38] |
Zhao N, Honert J, Schmid B, Klas M, Isoya J, Markham M, Twitchen D, Jelezko F, Liu R B, Fedder H and Wrachtrup J 2012 Nat. Nanotech. 7 657
doi: 10.1038/nnano.2012.152 |
[39] |
Taminiau H T, Wagenaar J J T, Sar T V D, Jelezko F, Dobrovitski V V and Hanson R 2012 Phys. Rev. Lett. 109 137602
doi: 10.1103/PhysRevLett.109.137602 |
[40] | Kolkowitz S, Unterreithmeier Q P, Bennett S D and Lukin M D 1998 Phys. Rev. Lett. 109 137601 |
[41] |
Ma W C, Shi F Z, Xu K B, Wang P F, Xu, X K, Rong X, Ju C Y, Duan C K, Zhao N and Du J F 2015 Phys. Rev. A 92 033418
doi: 10.1103/PhysRevA.92.033418 |
[42] |
London P, Scheuer J, Cai J M, Schwarz I, Retzker A, Plenio M B, Katagiri M, Teraji T, Koizumi S, Isoya J, Fischer R, McGuinness L P, Naydenov B and Jelezko F 2013 Phys. Rev. Lett. 111 067601
doi: 10.1103/PhysRevLett.111.067601 |
[43] | Perunicic V S, Hall L T, Simpson D A, Hill C D and Hollenberg L C L 1998 Phys. Rev. B 89 054432 |
[44] |
Cai J M, Jelezko F, Plenio M B and Retzker A 2013 New J. Phys. 15 013020
doi: 10.1088/1367-2630/15/1/013020 |
[45] |
Ofori-Okai K B, Pezzagna S, Chang K, Loretz M, Schirhagl R, Tao Y, Moores B A, Groot-Berning K, Meijer J and Degen C L. 2012 Phys. Rev. B 86 081406
doi: 10.1103/PhysRevB.86.081406 |
[46] |
Ohashi K, Rosskopf T, Watanabe H, Loretz M, Tao Y, Hauert R, Tomizawa S, Ishikawa T, Ishi-Hayase J, Shikata S, Degen C L and Itoh K M 2013 Nano Lett. 13 4733
doi: 10.1021/nl402286v |
[47] |
Staudacher T, Shi F, Pezzagna S, Meijer J, Du J, Meriles C A, Reinhard F and Wrachtrup J 2013 Science 339 561
doi: 10.1126/science.1231675 |
[48] |
Mamin J H, Kim M, Sherwood M H, Rettner C T, Ohno K, Awschalom D D and Rugar D 2013 Science 339 557
doi: 10.1126/science.1231540 |
[49] |
Müller C, Kong X, Cai J M, Melentijević K, Stacey A, Markham M, Twitchen D, Isoya J, Pezzagna S, Meijer J, Du J F, Plenio M B, Naydenov B, McGuinness L P and Jelezko F 2014 Nat. Commun. 5 4703
doi: 10.1038/ncomms5703 |
[50] |
Sushkov A O, Lovchinsky I, Chisholm N, Walsworth R L, Park H K and Lukin M D 2014 Phys. Rev. Lett. 113 197601
doi: 10.1103/PhysRevLett.113.197601 |
[51] |
Lovchinsky I, Sushkov A O, Urbach E, Leon N P D, Choi S, Greve K D, Evans R, Gertner R, Bersin E, Müller C, McGuinness L, Jelezko F, Walsworth R L, Park H and Lukin M D 2016 Science 351 836
doi: 10.1126/science.aad8022 |
[52] |
Shi F Z, Kong X, Wang P F, Kong F, Zhao N, Liu R B and Du J F 2014 Nat. Phys. 10 21
doi: 10.1038/nphys2814 |
[53] |
Borbat P P, Costa-Filho A J, Earle K A, Moscicki J K and Freed J H 2001 Science 291 266
doi: 10.1126/science.291.5502.266 |
[54] |
Rugar D, Budakian R, Mamin H J and Chui B W 2004 Nature 430 329
doi: 10.1038/nature02658 |
[55] |
Xiao M, Martin I, Yablonovitch E and Jiang H W 2004 Nature 430 435
doi: 10.1038/nature02727 |
[56] |
Manassen Y, Hamers R, Demuth J and Castellano A 1989 Phys. Rev. Lett. 62 2531
doi: 10.1103/PhysRevLett.62.2531 |
[57] | Slichter C P 1990 Principles of MagneticResonance (3nd edn.) (Berlin: Springer) |
[58] |
Lange G D, Sar T V D, Blok M, Wang Z H, Dobrovitski V and Hanson R 2012 Sci. Rep. 2 382
doi: 10.1038/srep00382 |
[59] |
Mamin H J, Sherwood M H and Rugar D 2012 Phys. Rev. B 86 195422
doi: 10.1103/PhysRevB.86.195422 |
[60] |
Shi F Z, Zhang Q, Wang P F, Sun H B, Wang J R, Rong X, Chen M, Ju C Y, Reinhard F, Chen H, Wrachtrup J, Wang J F and Du J F 2015 Science 347 1135
doi: 10.1126/science.aaa2253 |
[61] |
Mannini M, Pineider F, Sainctavit P, Danieli C, Otero E, Sciancalepore C, Talarico A M, Arrio M A, Cornia A, Gatteschi D and Sessoli R 2009 Nat. Mater. 8 194
doi: 10.1038/nmat2374 |
[62] |
Santini P, Carretta S, Troiani F and Amoretti G 2011 Phys. Rev. Lett. 107 230502
doi: 10.1103/PhysRevLett.107.230502 |
[63] |
Müller A and Döring J 1988 Angew. Chem. Int. Ed. Engl. 27 1721
doi: 10.1002/anie.198817211 |
[64] |
Yang J H, Wang Y, Wang Z X, Rong X, Duan C K, Su J H and Du J F 2012 Phys. Rev. Lett. 108 230501
doi: 10.1103/PhysRevLett.108.230501 |
[65] | Rabl P, Cappellaro P, Dutt M G, Jiang L, Maze J and Lukin M D 2009 Phys. Rev. B 79 041302 |
[66] |
Cai J, Naydenov B, Pfeiffer R, McGuinness L P, Jahnke K D, Jelezko F, Plenio M B and Retzker A 2012 New. J. Phys. 14 113023
doi: 10.1088/1367-2630/14/11/113023 |
[67] |
Fanchini F, Hornos J and Napolitano R D J 2007 Phys. Rev. A 75 022329
doi: 10.1103/PhysRevA.75.022329 |
[68] |
Chaudhry A Z and Gong J B 2012 Phys. Rev. A 85 012315
doi: 10.1103/PhysRevA.85.012315 |
[69] |
Bermudez A, Jelezko F, Plenio M and Retzker A 2011 Phys. Rev. Lett. 107 150503
doi: 10.1103/PhysRevLett.107.150503 |
[70] |
Xu X K, Wang Z, Duan C K, Huang P, Wang P F, Wang Y, Xu N Y, Kong X, Shi F Z, Rong X and Du J 2012 Phys. Rev. Lett. 109 070502
doi: 10.1103/PhysRevLett.109.070502 |
[71] |
Khodjasteh K and Viola L 2009 Phys. Rev. Lett. 102 080501
doi: 10.1103/PhysRevLett.102.080501 |
[72] |
Khodjasteh K, Lidar D A and Viola L 2010 Phys. Rev. Lett. 104 090501
doi: 10.1103/PhysRevLett.104.090501 |
[73] |
West J R, Lidar D A, Fong B H and Gyure M F 2010 Phys. Rev. Lett. 105 230503
doi: 10.1103/PhysRevLett.105.230503 |
[74] |
Kestner J, Wang X, Bishop L S, Barnes E and Sarma S D 2013 Phys. Rev. Lett. 110 140502
doi: 10.1103/PhysRevLett.110.140502 |
[75] |
Wang X, Bishop L S, Kestner J, Barnes E, Sun K and Sarma S D 2012 Nat. Commun. 3 997
doi: 10.1038/ncomms2003 |
[76] |
Rong X, Geng J P, Wang Z X, Zhang Q, Ju C Y, Shi F Z, Duan C K and Du J F 2014 Phys. Rev. Lett. 112 050503
doi: 10.1103/PhysRevLett.112.050503 |
[77] |
Doherty M W, Manson N B, Delaney P, Jelezko F, Wrachtrup J and Hollenberg L C 2013 Phys. Rep. 528 1
doi: 10.1016/j.physrep.2013.02.001 |
[78] |
Wrachtrup J 2010 P. Natl. Acad. Sci. USA 107 9479
doi: 10.1073/pnas.1004033107 |
[79] |
Van der Sar T, Wang Z, Blok M, Bernien H, Taminiau T, Toyli D, Lidar D, Awschalom D, Hanson R and Dobrovitski V 2012 Nature 484 82
doi: 10.1038/nature10900 |
[80] |
Jacques V, Neumann P, Beck J, Markham M, Twitchen D, Meijer J, Kaiser F, Balasubramanian G, Jelezko F and Wrachtrup J 2009 Phys. Rev. Lett. 102 057403
doi: 10.1103/PhysRevLett.102.057403 |
[81] |
Nielsen M A 2002 Phys. Lett. A 303 249
doi: 10.1016/S0375-9601(02)01272-0 |
[82] |
De Raedt H, Barbara B, Miyashita S, Michielsen K, Bertaina S and Gambarelli S 2012 Phys. Rev. B 85 014408
doi: 10.1103/PhysRevB.85.014408 |
[83] |
Wimperis S 1994 J. Magn. Reson. Ser. A 109 221
doi: 10.1006/jmra.1994.1159 |
[84] | Bando M, Ichikawa T, Kondo Y and Nakahara M 2012 J. Phys. Soc. Jpn. 82 014004 |
[85] |
Rong X, Geng J P, Shi F z, Liu Y, Xu K B, Ma W C, Kong F, Jiang Z, Wu Y and Du J F 2015 Nat. Commun. 6 8748
doi: 10.1038/ncomms9748 |
[86] |
Knill E, Leibfried D, Reichle R, Britton J, Blakestad R, Jost J, Langer C, Ozeri R, Seidelin S and Wineland D 2008 Phys. Rev. A 77 012307
doi: 10.1103/PhysRevA.77.012307 |
[87] |
Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 J. Magn. Reson. 172 296
doi: 10.1016/j.jmr.2004.11.004 |
[88] | Fowler A G, Mariantoni M, Martinis J M and Cleland A N2012 Phys. Rev. A 86 032324 |
[89] | Carlini A, Hosoya A, Koike T and Okudaira Y 1998 Phys. Rev. Lett. 96 060503 |
[90] |
Carlini A, Hosoya A, Koike T and Okudaira Y 2007 Phys. Rev. A 75 042308
doi: 10.1103/PhysRevA.75.042308 |
[91] |
Rezakhani A, Kuo W J, Hamma A, Lidar D and Zanardi P 2009 Phys. Rev. Lett. 103 080502
doi: 10.1103/PhysRevLett.103.080502 |
[92] |
Carlini A, Hosoya A, Koike T and Okudaira Y 2011 J. Phys. A. Math. Theor. 44 145302
doi: 10.1088/1751-8113/44/14/145302 |
[93] |
Carlini A and Koike T 2012 Phys. Rev. A 86 054302
doi: 10.1103/PhysRevA.86.054302 |
[94] |
Carlini A and Koike T 2013 J. Phys. A. Math. Theor. 46 045307
doi: 10.1088/1751-8113/46/4/045307 |
[95] |
Wang X, Allegra M, Jacobs K, Lloyd S, Lupo C and Mohseni M 2015 Phys. Rev. Lett. 114 170501
doi: 10.1103/PhysRevLett.114.170501 |
[96] | Geng J P, Wu Y, Wang X T, Xu K B, Shi F Z, Xie Y J, Rong X and Du J F 2006 Phys. Rev. Lett. 117 170501 |
[97] | Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information, 2nd edn. (India: Cambridge University Press) |
[98] | Farhi E, Goldstone J, Gutmann S and Sipser M 2000 arXiv: 0001106 [quant-ph] |
[99] | Mizel A, Lidar D A and Mitchell M 200 7Phys. Rev. Lett. 99 070502 |
[100] | Knuth D E 1997 The Art of Computer Programming Volume 2: Seminumerical Algorithms, 3rd edn. (Massachusetts: AddisonWesley Longman Publishing) |
[101] |
Vandersypen L, Lidar D A and Mitchell M 2001 Nature 414 883
doi: 10.1038/414883a |
[102] |
Lu C, Browne D E, Yang T and Pan J W 2007 Phys. Rev. Lett. 99 250504
doi: 10.1103/PhysRevLett.99.250504 |
[103] |
Lanyon B, Weinhold T, Langford N, Barbieri M, James D, Gilchrist A and White A G 2007 Phys. Rev. Lett. 99 250505
doi: 10.1103/PhysRevLett.99.250505 |
[104] |
Politi A, Mattthews J C and O Brien J L 2009 Science 325 1221
doi: 10.1126/science.1173731 |
[105] |
Martin-Lopez E, Laing A, Lawson T, Lavarez R, Zhou X and O Brien J L 2012 Nat. Photon. 6 773
doi: 10.1038/nphoton.2012.259 |
[106] | Lucero E, Barends R, Chen Y, Kelly J, Mariantoni M, Megrant A, O Malley P, Sank D, Vainsencher A, Wenner J, White T, Yin Y, Cleland A N and Martinis J M 2012 Nat. Phys. 8 723 |
[107] | Monz T, Digg D, Martinez E A, Brandl M F, SChindler P, Rines R, Wang S X, Chuang I L and Blatt R 2016 Science 351 1070 |
[108] |
Xu N Y, Zhu J, Lu DW, Zhou X Y, Peng X H and Du J F 2012 Phys. Rev. Lett. 108 130501
doi: 10.1103/PhysRevLett.108.130501 |
[109] | Peng X H, Liao Z y, Xu N Y, Qin G, Zhou X Y, Suter D and Du J F 2008 Phys. Rev. Lett. 101 250405 |
[110] | Burges C J 2002 Micros. Res. Tech. Rep. 1 19 |
[111] |
Xu K B, Xie T Y, Li Z K, Xu X K, Wang M Q, Ye X Y, Kong F, Geng J P, Duan C K, Shi F Z and Du J F 2017 Phys. Rev. Lett. 118 130504
doi: 10.1103/PhysRevLett.118.130504 |
[112] |
Koehl W F, Buckley B B, Heremans F J, Calusine G and Awschalom D D 2011 Nature 479 84
doi: 10.1038/nature10562 |
[113] |
Pla J J, Tan K Y, Dehollain J P, Lim W H and Morton J J L 2013 Nature 496 334
doi: 10.1038/nature12011 |
[114] |
Yin C, Rancic M, de Boo G G, Stavrias N, McCallum J C, Sellars M J and Rogge S 2013 Nature 497 91
doi: 10.1038/nature12081 |
[115] |
Heisenberg W 1927 Zeitschrift für Physik 43 172
doi: chrift f |
[116] |
Kennard E H 1927 Zeitschrift für Physik 44 326
doi: chrift f |
[117] |
Robertson H P 1929 Phys. Rev. 34 163
doi: 10.1103/PhysRev.34.163 |
[118] | Schrödinger E, Zum Heisenbergschen Unschärfeprinzip Z and Preuss Akad Wiss S 1930 Phys.-Math. Klasse. 19 296 |
[119] |
Busch P, Heinonen T and Lahti P 2007 Phys. Rep. 452 155
doi: 10.1016/j.physrep.2007.05.006 |
[120] |
Busch P, Lahti P and Werner R F 2013 Phys. Rev. Lett. 111 160405
doi: 10.1103/PhysRevLett.111.160405 |
[121] |
Busch P, Lahti P and Werner R F 2014 Phys. Rev. A 89 012129
doi: 10.1103/PhysRevA.89.012129 |
[122] |
Busch P, Lahti P and Werner R F 2014 Rev. Mod. Phys. 86 1261
doi: 10.1103/RevModPhys.86.1261 |
[123] |
Buscemi F, Hall M J W, Ozawa M and Wilde M M 2014 Phys. Rev. Lett. 112 050401
doi: 10.1103/PhysRevLett.112.050401 |
[124] |
Sulyok G, Sponar S, Demirel B, Buscemi F, Hall M J W, Ozawa M and Hasegawa Y 2015 Phys. Rev. Lett. 115 030401
doi: 10.1103/PhysRevLett.115.030401 |
[125] |
Ma W C, Ma Z H, Wang H Y, Chen Z H, Liu Y, Kong F, Li Z, Peng X H, Shi M, Shi F Z, Fei S M and Du J F 2016 Phys. Rev. Lett. 116 160405
doi: 10.1103/PhysRevLett.116.160405 |
[126] |
Zhang F and Li Y 2018 Chin. Phys. B 27 090301
doi: 10.1088/1674-1056/27/9/090301 |
[127] |
Ozawa M 2003 Phys. Rev. A 67 042105
doi: 10.1103/PhysRevA.67.042105 |
[128] |
Ozawa M 2003 Int. J. Quantum Inform. 01 569
doi: 10.1142/S0219749903000437 |
[129] |
Ozawa M 2004 Phys. Lett. A 320 367
doi: 10.1016/j.physleta.2003.12.001 |
[130] |
Hall M J W 2004 Phys. Rev. A 69 052113
doi: 10.1103/PhysRevA.69.052113 |
[131] |
Branciard C 2013 P. Natl. Acad. Sci. USA 110 6742
doi: 10.1073/pnas.1219331110 |
[132] |
Branciard C 2014 Phys. Rev. A 89 022124
doi: 10.1103/PhysRevA.89.022124 |
[133] |
Weston M M, Hall M J W, Palsson M S, Wiseman H M and Pryde G J 2013 Phys. Rev. Lett. 110 220402
doi: 10.1103/PhysRevLett.110.220402 |
[134] |
Erhart J, Sponar S, Sulyok G, Badurek G, Ozawa M and Hasegawa Y 2012 Nat. Phys. 8 185
doi: 10.1038/nphys2194 |
[135] |
Sulyok G, Sponar S, Erhart J, Badurek G, Ozawa M and Hasegawa Y 2013 Phys. Rev. A 88 022110
doi: 10.1103/PhysRevA.88.022110 |
[136] |
Rozema L A, Darabi A, Mahler D H, Hayat A, Soudagar Y and Steinberg A M 2012 Phys. Rev. Lett. 109 100404
doi: 10.1103/PhysRevLett.109.100404 |
[137] |
Baek S Y, Kaneda F, Ozawa M and Edamatsu K 2013 Sci. Rep. 3 2221
doi: 10.1038/srep02221 |
[138] |
Ringbauer M, Biggerstaff D N, Broome M A, Fedrizzi A, Branciard C and White A G 2014 Phys. Rev. Lett. 112 020401
doi: 10.1103/PhysRevLett.112.020401 |
[139] |
Kaneda F, Baek S Y, Ozawa M and Edamatsu K 2014 Phys. Rev. Lett. 112 020402
doi: 10.1103/PhysRevLett.112.020402 |
[140] |
Di Lorenzo A 2013 Phys. Rev. Lett. 110 120403
doi: 10.1103/PhysRevLett.110.120403 |
[141] |
Dressel J and Nori F 2014 Phys. Rev. A 89 022106
doi: 10.1103/PhysRevA.89.022106 |
[142] |
Korzekwa K, Jennings D and Rudolph T 2014 Phys. Rev. A 89 052108
doi: 10.1103/PhysRevA.89.052108 |
[143] | Busch P, Heinonen T and Lahti P2004 Phys. Rev. A 320 261 |
[144] | Werner R F 2004 Quantum Inform. Comput. 4 546 |
[145] |
Li J L and Qiao C F 2015 Sci. Rep. 5 12708
doi: 10.1038/srep12708 |
[146] | Coles P J, Berta M, Tomamichel M and Wehner S2017 Rev. Mod. Phys. 89 015002 |
[147] |
Chen B and Fei S M 2015 Sci. Rep. 5 14238
doi: 10.1038/srep14238 |
[148] |
Abbott A A, Alzieu P L, Hall M J W and Branciard C 2016 Mathematics 4 8
doi: 10.3390/math4010008 |
[149] |
Chen B, Fei S M and Long G L 2016 Quantum Inform. Process. 15 2639
doi: 10.1007/s11128-016-1274-3 |
[150] |
Chen B, Cao N P, Fei S M and Long G L 2016 Quantum Inf. Process. 15 3909
doi: 10.1007/s11128-016-1365-1 |
[151] |
Busch P 1986 Phys. Rev. D 33 2253
doi: 10.1103/PhysRevD.33.2253 |
[152] |
Yu S, Liu N l, Li L and Oh C H 2010 Phys. Rev. A 81 062116
doi: 10.1103/PhysRevA.81.062116 |
[153] |
Kechrimparis S and Weigert S 2014 Phys. Rev. A 90 062118
doi: 10.1103/PhysRevA.90.062118 |
[154] |
Lars D, Rene S and Reinhard F W 2015 New J. Phys. 17 093046
doi: 10.1088/1367-2630/17/9/093046 |
[155] |
Hofmann H F and Takeuchi S 2003 Phys. Rev. A 68 032103
doi: 10.1103/PhysRevA.68.032103 |
[1] | Si-Ren Yang(杨思忍) and Chang-Shui Yu(于长水). Quantum dynamical resource theory under resource non-increasing framework[J]. 中国物理B, 2023, 32(4): 40305-040305. |
[2] | Qing-Yun Zhou(周晴云), Xiao-Gang Fan(范小刚), Fa Zhao(赵发), Dong Wang(王栋), and Liu Ye(叶柳). Transformation relation between coherence and entanglement for two-qubit states[J]. 中国物理B, 2023, 32(1): 10304-010304. |
[3] | Wen-Li Yu(于文莉), Yun Zhang(张允), Hai Li(李海), Guang-Fen Wei(魏广芬), Li-Ping Han(韩丽萍), Feng Tian(田峰), and Jian Zou(邹建). Enhancement of charging performance of quantum battery via quantum coherence of bath[J]. 中国物理B, 2023, 32(1): 10302-010302. |
[4] | Huan Yang(杨欢), Ling-Ling Xing(邢玲玲), Zhi-Yong Ding(丁智勇), Gang Zhang(张刚), and Liu Ye(叶柳). Steering quantum nonlocalities of quantum dot system suffering from decoherence[J]. 中国物理B, 2022, 31(9): 90302-090302. |
[5] | I Reena, H S Karthik, J Prabhu Tej, Sudha, A R Usha Devi, and A K Rajagopal. Local sum uncertainty relations for angular momentum operators of bipartite permutation symmetric systems[J]. 中国物理B, 2022, 31(6): 60301-060301. |
[6] | Zhi-Yong Ding(丁智勇), Pan-Feng Zhou(周攀峰), Xiao-Gang Fan(范小刚),Cheng-Cheng Liu(刘程程), Juan He(何娟), and Liu Ye(叶柳). Coherence migration in high-dimensional bipartite systems[J]. 中国物理B, 2022, 31(6): 60308-060308. |
[7] | Yun-Chen Zhu(朱云晨), Ping-Xue Li(李平雪), Chuan-Fei Yao(姚传飞), Chun-Yong Li(李春勇),Wen-Hao Xiong(熊文豪), and Shun Li(李舜). Influence of optical nonlinearity on combining efficiency in ultrashort pulse fiber laser coherent combining system[J]. 中国物理B, 2022, 31(6): 64201-064201. |
[8] | Jing-Jing Xia(夏京京), Xiao-Tong Lu(卢晓同), and Hong Chang(常宏). Interrogation of optical Ramsey spectrum and stability study of an 87Sr optical lattice clock[J]. 中国物理B, 2022, 31(3): 34209-034209. |
[9] | Fei Gao(高飞), Fang-Hua Xu(徐芳华), and Zheng-Lin Li(李整林). Effects of mesoscale eddies on the spatial coherence of a middle range sound field in deep water[J]. 中国物理B, 2022, 31(11): 114302-114302. |
[10] | Ying-Yue Yang(杨颖玥), Li-Juan Li(李丽娟), Liu Ye(叶柳), and Dong Wang(王栋). Quantum correlation and entropic uncertainty in a quantum-dot system[J]. 中国物理B, 2022, 31(10): 100303-100303. |
[11] | Xue-Yan Cui(崔雪燕), Yi-Jing Yan(严以京), and Jian-Hua Wei(魏建华). Theoretical study on the exciton dynamics of coherent excitation energy transfer in the phycoerythrin 545 light-harvesting complex[J]. 中国物理B, 2022, 31(1): 18201-018201. |
[12] | Xingbing Chao(潮兴兵), Yuan Gao(高源), Jianping Ding(丁剑平), and Hui-Tian Wang(王慧田). Impact of the spatial coherence on self-interference digital holography[J]. 中国物理B, 2021, 30(8): 84212-084212. |
[13] | Yu-Hang Sun(孙宇航) and Yu-Xia Xie(谢玉霞). Steered coherence and entanglement in the Heisenberg XX chain under twisted boundary conditions[J]. 中国物理B, 2021, 30(7): 70303-070303. |
[14] | Bao-Min Li(李保民), Ming-Liang Hu(胡明亮), and Heng Fan(范桁). Nonlocal advantage of quantum coherence and entanglement of two spins under intrinsic decoherence[J]. 中国物理B, 2021, 30(7): 70307-070307. |
[15] | Xin-Feng Jin(金鑫锋), Li-Zhen Jiang(蒋丽珍), and Xiao-Yu Chen(陈小余). Entanglement properties of GHZ and W superposition state and its decayed states[J]. 中国物理B, 2021, 30(6): 60301-060301. |
|