摘要We reinvestigate the measures concerning the notion of duality of a quantum system (the ``quanton'') in an asymmetry two-way interferometer. A new measure of the which-way information is introduced, which is based on the fidelity F instead of the trace distance Q of the final states of the which-way detector. An improved inequality is derived to be V2≤(R02- P2)(1-F)2, which is more stringent than the previous one of V2≤q(1-P2)(1-Q2).
Abstract:We reinvestigate the measures concerning the notion of duality of a quantum system (the ``quanton'') in an asymmetry two-way interferometer. A new measure of the which-way information is introduced, which is based on the fidelity F instead of the trace distance Q of the final states of the which-way detector. An improved inequality is derived to be V2≤(R02- P2)(1-F)2, which is more stringent than the previous one of V2≤q(1-P2)(1-Q2).
[1] Feynman R Leighton R and Sands M 1965 The FeynmanLectures on Physics (Reading, MA: Addison-Wesley) vol III. [2] Wootters W K and Zurek W H 1979 Phys. Rev. D 19 473 [3] Greenberger D and Yasin A 1988 Phys. Lett. A 128 391 Bjork G and Karlsson A 1998 Phys. Rev. A 58 3477 Englert B G and Bergou J 2000 Opt. Commun. 179 337 [4] Englert B G 1996 Phys. Rev. Lett. 77 2154 [5] Durr S Nonn T and Rempe G 1998 Nature 395 33 Durr S Nonn T and Rempe G 1998 Phys. Rev. Lett. 81 5705 Schwindt P D D Kwiat P G and Englert B G 1999 Phys.Rev. A 60 4285 Wang Q Huang Y F Sun F W Zhang Y S and Guo G C 2005 Chin. Phys. Lett. 22 335 [6] Durr S and Rempe G 2000 Opt. Commun. 179 321 [7] Martinez-Linares J and Harmin D A 2004 Phys. Rev. A 69 062109 [8] Martinez-Linares J 2007 Phys. Rev. A 75 052112 [9] Rudolph T Spekkens R W and Turner P S 2003 Phys.Rev. A 68 010301(R) [10] Jozsa R 1994 J. Mod. Opt. 41 2315 [11] Nielsen M A and Chuang I L 2000 Quantum Computationand Quantum Information (Cambridge: Cambridge University) [12] Barnett S M 2001 Phys. Rev. A 64 030303