| GENERAL |
|
|
|
|
Complementarity via Minimum Error Measurement in a Two-Path Interferometer |
| Junzhao Liu, Yanjun Liu, Jing Lu** |
Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics and Synergetic Innovation Center of Quantum Effects and Applications, Hunan Normal University, Changsha 410081
|
|
| Cite this article: |
|
Junzhao Liu, Yanjun Liu, Jing Lu 2019 Chin. Phys. Lett. 36 050302 |
|
|
|
|
Abstract We study the fringe visibility and the which-path information (WPI) of a general Mach–Zehnder interferometer with an asymmetric beam splitter (BS). A minimum error measurement in the detector is used to extract the WPI. Both the fringe visibility $V$ and the WPI $I_{\rm path}$ are affected by the initial state of the photon and the second asymmetric BS. The condition in which the WPI takes the maximum is obtained. The complementarity relationship $V^{2}+I_{\rm path}^{2}\leq 1$ is found, and the conditions for equality are also presented.
|
|
|
Received: 25 December 2018
Published: 17 April 2019
|
|
| PACS: |
03.67.-a
|
(Quantum information)
|
| |
03.65.Ta
|
(Foundations of quantum mechanics; measurement theory)
|
| |
07.60.Ly
|
(Interferometers)
|
|
|
| Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11434011 and 11575058. |
|
|
|
| [1] | Bohr N 1928 Nature 121 413 | | [2] | Wootters W K and Zurek W H 1979 Phys. Rev. D 19 473 | | [3] | Greenberger D M and Yasin A 1988 Phys. Lett. A 128 391 | | [4] | Englert B G 1996 Phys. Rev. Lett. 77 2154 | | [5] | Mandel L 1991 Opt. Lett. 16 1882 | | [6] | Jaeger G, Horne M A and Shimony A 1993 Phys. Rev. A 48 1023 | | [7] | Jaeger G, Shimony A and Vaidman L 1995 Phys. Rev. A 51 54 | | [8] | Dürr S, Nonn T and Rempe G 1998 Phys. Rev. Lett. 81 5705 | | [9] | Dürr S 2001 Phys. Rev. A 64 042113 | | [10] | Zawisky M, Baron M and Loidl R 2002 Phys. Rev. A 66 063608 | | [11] | Kaszlikowski D, Kwek L C, Zukowski M and Englert B 2003 Phys. Rev. Lett. 91 037901 | | [12] | Bimonte G and Musto R 2003 Phys. Rev. A 67 066101 | | [13] | Bramon A, Garbarino G and Hiesmayr B C 2004 Phys. Rev. A 69 022112 | | [14] | Jakob M and Bergou J 2007 Phys. Rev. A 76 052107 | | [15] | Ban M J 2008 J. Mod. Opt. 55 3625 | | [16] | Ban M, Shibataa F and Kitajimaa S 2009 J. Mod. Opt. 56 89 | | [17] | Han Y, Wu C W, Wu W, Chen P X and Li C Z 2009 Chin. Phys. Lett. 26 040303 | | [18] | Fonseca-Romero K M, Oliveira J G G D, Faria J G P D and Nemes M C 2014 Phys. Rev. A 90 062102 | | [19] | Siddiqui M A and Qureshi T 2015 Prog. Theor. Exp. Phys. p 083A02 | | [20] | Angelo R M and Ribeiro A D 2015 Found. Phys. 45 1407 | | [21] | Jia A A, Huang J H, FengW, Zhang T C and Zhu S Y 2014 Chin. Phys. B 23 030307 | | [22] | Jacques V, Wu E, Grosshans F, Treussart F et al 2008 Phys. Rev. Lett. 100 220402 | | [23] | Li L, Liu N L and Yu S X 2012 Phys. Rev. A 85 054101 | | [24] | Liu Y J, Lu J and Zhou L 2017 Laser Phys. Lett. 14 055204 | | [25] | Liu Y J, Lu J, Peng Z H, Zhou L and Zheng D N 2019 Chin. Phys. B 28 030303 | | [26] | Cover T M and Thomas J A 1991 Elements of Information Theory (New York: Wiley) | | [27] | Helstrom C W 1976 Quantum Detection and Estimation Theory (New York: Academic Press) | | [28] | Chefles A 2000 Contemp. Phys. 41 401 |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
