摘要How to manipulate (operate or measure) single photons efficiently and simply is the basic problem in optical quantum information processing. We first present an efficient scheme to transform a biphoton polarization state to a corresponding single-photon state encoded by its polarization and spatial modes. This single-photon state carries both the information of the controlled and target photons. It will make the realization of bipartite positive-operator-valued measurements efficiently and simply. Moreover, the inverse transformation from the single-photon state back to the corresponding biphoton polarization state is also proposed. Using both the transformations, the realization of the arbitrary two-qubit unitary operation is simple with an M-Z interferometer. All the schemes are feasible with the current experimental technology.
Abstract：How to manipulate (operate or measure) single photons efficiently and simply is the basic problem in optical quantum information processing. We first present an efficient scheme to transform a biphoton polarization state to a corresponding single-photon state encoded by its polarization and spatial modes. This single-photon state carries both the information of the controlled and target photons. It will make the realization of bipartite positive-operator-valued measurements efficiently and simply. Moreover, the inverse transformation from the single-photon state back to the corresponding biphoton polarization state is also proposed. Using both the transformations, the realization of the arbitrary two-qubit unitary operation is simple with an M-Z interferometer. All the schemes are feasible with the current experimental technology.
(Optical implementations of quantum information processing and transfer)
引用本文:
LIN Qing. Bidirectional Mapping between a Biphoton Polarization State and a Single-Photon Two-Qubit State[J]. 中国物理快报, 2010, 27(12): 120302-120302.
LIN Qing. Bidirectional Mapping between a Biphoton Polarization State and a Single-Photon Two-Qubit State. Chin. Phys. Lett., 2010, 27(12): 120302-120302.
[1] Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University)
[2] Knill E, Laflamme R and Milburn G J 2001 Nature 409 46
[3] Kok P, Munro W J, Nemoto K, Ralph T C, Dowling J P and Milburn G J 2007 Rev. Mod. Phys. 79 135
[4] Pittman T B, Jacobs B C and Franson J D 2001 Phys. Rev. A 64 062311
[5] Pittman T B, Fitch M J, Jacobs B C and Franson J D 2003 Phys. Rev. A 68 032316
[6] Zhao Z, Zhang A N, Chen Y A, Zhang H, Du J F, Yang T and Pan J W 2005 Phys. Rev. Lett. 94 030501
[7] O' Brien J L, Pryde G J, White A G, Ralph T C and Branning D 2003 Nature 426 264
Okamoto R, Hofmann H F, Takeuchi S and Sasaki K 2005 Phys. Rev. Lett. 95 210506
Bao X H, Chen T Y, Zhang Q, Yang J, Zhang H, Yang T and Pan J W 2007 Phys. Rev. Lett. 98 170502
[8] Langford N K, Weinhold T J, Prevedel R, Resch K J, Gilchrist A, O'Brien J L, Pryde G J and White A G 2005 Phys. Rev. Lett. 95 210504
[9] Kiesel N, Schmid C, Weber U, Ursin R and Weinfurter H 2005 Phys. Rev. Lett. 95 210505
[10] Lin Q, He B, Bergou J A and Ren Y H 2009 Phys. Rev. A 80 042311
[11] Reck M, Zeilinger A, Bernstein H J and Bertani P 1994 Phys. Rev. Lett. 73 58
[12] Lütkenhaus N, Calsamiglia J and Suominen K A 1999 Phys. Rev. A 59 3295
Calsamiglia J and Lüukenhaus N 2001 Appl. Phys. B 72 67
[13] Schuck C, Huber G, Kurtsiefer C and Weinfurter H 2006 Phys. Rev. Lett. 96 190501
Wei T C, Barreiro J T and Kwiat P G 2007 Phys. Rev. A 75 R060305
[14] Huttner B, Muller A, Gautier J D, Zbinden H and Gisin N 1996 Phys. Rev. A 54 3783
[15] Ahnert S E and Payne M C 2005 Phys. Rev. A 71 012330
[16] Lin Q, Li J and Guo G C 2006 J. Phys. B: At. Mol. Opt. Phys. 39 3649
[17] Ahnert S E and Payne M C 2006 Phys. Rev. A 73 022333
[18] Lin Q 2009 Commun. Theor. Phys. 51 244
[19] Lin Q and Li J 2009 Phys. Rev. A 79 022301
[20] Lin Q and He B 2009 Phys. Rev. A 80 042310
[21] Englert B G, Kurtsiefer C and Weinfurter H 2001 Phys. Rev. A 63 032303
[22] Vidal G and Dawson C M 2004 Phys. Rev. A 69 R010301
Vatan F and Williams C 2004 Phys. Rev. A 69 032315
2010, Vol. 27 
