Enhancing the precision of phase estimation by weak measurement and quantum measurement reversal in high dimensional quantum system. (English) Zbl 1412.81192
Summary: We investigate the effect of the weak measurement (WM) and quantum measurement reversal (QMR) on the improvement of the parameter-estimation precision for a qutrit interacting with a zero-temperature reservoir with both spontaneous emission and dephasing. We derive the exact expressions of the optimal quantum Fisher information (QFI), show explicitly that the WM and QMR operation indeed helps for enhancing the precision of parameter estimation from spontaneous emission damping, but not for dephasing damping. In particular, we found that the enhancement effect is work in high dimensional quantum system, which extends the applicable scope of the WM and QMR approach.
MSC:
| 81V80 | Quantum optics |
| 81P15 | Quantum measurement theory, state operations, state preparations |
| 62F10 | Point estimation |
| 94A17 | Measures of information, entropy |
Keywords:
the precision of parameter estimation; weak measurement and quantum measurement reversal; spontaneous emission and dephasingReferences:
| [1] | Braunstein, SL; Caves, CM, No article title, Phys. Rev. Lett., 72, 3439 (1994) · Zbl 0973.81509 · doi:10.1103/PhysRevLett.72.3439 |
| [2] | Fisher, RA, No article title, Proc. Cambridge Phil. Soc., 22, 700 (1929) · JFM 51.0385.01 · doi:10.1017/S0305004100009580 |
| [3] | Facchi, P.; Lidar, DA; Pascazio, S., No article title, Phys. Rev. A, 69, 032314 (2004) · doi:10.1103/PhysRevA.69.032314 |
| [4] | Maniscalco, S.; Francica, F.; Zaffino, RL; Lo Gullo, N.; Plastina, F., No article title, Phys. Rev. Lett., 100, 090503 (2008) · Zbl 1228.81091 · doi:10.1103/PhysRevLett.100.090503 |
| [5] | Zanardi, P.; Rasetti, M., No article title, Phys. Rev. Lett., 79, 3306 (1997) · doi:10.1103/PhysRevLett.79.3306 |
| [6] | Lidar, DA; Chuang, IL; Whaley, KB, No article title, Phys. Rev. Lett., 81, 2594 (1998) · doi:10.1103/PhysRevLett.81.2594 |
| [7] | Calderbank, AR; Shor, PW, No article title, Phys. Rev. A, 54, 1098 (1996) · doi:10.1103/PhysRevA.54.1098 |
| [8] | Knill, E.; Laflamme, R., No article title, Phys. Rev. A, 55, 900 (1997) · doi:10.1103/PhysRevA.55.900 |
| [9] | Viola, L.; Lloyd, S., No article title, Phys. Rev. A, 58, 2733 (1998) · doi:10.1103/PhysRevA.58.2733 |
| [10] | Uhrig, GS, No article title, Phys. Rev. Lett., 98, 100504 (2007) · doi:10.1103/PhysRevLett.98.100504 |
| [11] | Bellomo, B.; Lo Franco, R.; Compagno, G., No article title, Phys. Rev. Lett., 99, 160502 (2007) · doi:10.1103/PhysRevLett.99.160502 |
| [12] | He, Z.; Zou, J.; Shao, B.; Kong, SY, No article title, J. Phys. B: At. Mol. Opt. Phys., 43, 115503 (2010) · doi:10.1088/0953-4075/43/11/115503 |
| [13] | Berrada, K., No article title, Phys. Rev. A, 88, 035806 (2013) · doi:10.1103/PhysRevA.88.035806 |
| [14] | Watanable, Y.; Sagawa, T.; Ueda, M., No article title, Phys. Rev. Lett., 104, 020401 (2010) · doi:10.1103/PhysRevLett.104.020401 |
| [15] | Tan, QS; Huang, Y.; Yin, X.; Kuang, LM; Wang, X., No article title, Phys. Rev. A, 87, 032102 (2013) · doi:10.1103/PhysRevA.87.032102 |
| [16] | Liu, J.; Jing, X.; Wang, X., No article title, Phys. Rev. A, 88, 042316 (2013) · doi:10.1103/PhysRevA.88.042316 |
| [17] | Aharonov, Y.; Albert, DZ; Vaidman, L., No article title, Phys. Rev. Lett., 60, 1351 (1988) · doi:10.1103/PhysRevLett.60.1351 |
| [18] | Oreshkov, O.; Brun, TA, No article title, Phys. Rev. Lett., 95, 110409 (2005) · doi:10.1103/PhysRevLett.95.110409 |
| [19] | Korotkov, AN; Keane, K., No article title, Phys. Rev. A, 81, 040103 (2010) · doi:10.1103/PhysRevA.81.040103 |
| [20] | Kim, YS; Cho, YW; Ra, YS; Kim, YH, No article title, Opt. Express, 17, 11978 (2009) · doi:10.1364/OE.17.011978 |
| [21] | Li, WJ; He, Z.; Wang, Q., No article title, Int. J. Theor. Phys., 56, 2813 (2017) · Zbl 1379.81025 · doi:10.1007/s10773-017-3448-x |
| [22] | Wang, SC; Yu, ZW; Zou, WJ; Wang, XB, No article title, Phys. Rev. A, 89, 022318 (2014) · doi:10.1103/PhysRevA.89.022318 |
| [23] | Wang, MJ; Xia, YJ, No article title, Acta. Phys. Sin., 64, 240303 (2015) |
| [24] | Yang, G.; Lian, BW; Nie, M., No article title, Chin. Phys. B, 25, 080310 (2016) · doi:10.1088/1674-1056/25/8/080310 |
| [25] | Liao, XP; Fang, MF; Fang, JS; Zhu, QQ, No article title, Chin. Phys. B, 23, 020304 (2014) · doi:10.1088/1674-1056/23/2/020304 |
| [26] | Huang, J., No article title, Acta Phys. Sin., 66, 010301 (2017) |
| [27] | He, Z.; Yao, C., No article title, Chin. Phys. B, 23, 110601 (2014) · doi:10.1088/1674-1056/23/11/110601 |
| [28] | Xiao, X.; Feng, M., No article title, Phys. Rev. A, 83, 054301 (2011) · doi:10.1103/PhysRevA.83.054301 |
| [29] | Wang, H.; Cleland, AN; Martinis, JM; Korotkov, AN, No article title, Phys. Rev. Lett., 101, 200401 (2008) · doi:10.1103/PhysRevLett.101.200401 |
| [30] | Williams, NS; Jordan, AN, No article title, Phys. Rev. Lett., 100, 026804 (2008) · doi:10.1103/PhysRevLett.100.026804 |
| [31] | Wang, Q.; He, Z.; Yao, CM, No article title, Phys. Scr., 90, 055102 (2015) · doi:10.1088/0031-8949/90/5/055102 |
| [32] | Xiao, X., No article title, Phys. Scr., 89, 065102 (2014) · doi:10.1088/0031-8949/89/6/065102 |
| [33] | Xiao, X.; Li, YL, No article title, Eur. Phys. J. D, 67, 204 (2013) · doi:10.1140/epjd/e2013-40036-3 |
| [34] | Agata, C.; Krzysztof, W., No article title, Phys. Rev. A, 76, 052306 (2007) · doi:10.1103/PhysRevA.76.052306 |
| [35] | Lu, XM; Wang, X.; Sun, CP, No article title, Phys. Rev. A, 82, 042103 (2010) · doi:10.1103/PhysRevA.82.042103 |
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.
