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Based on a special controlled-NOT gate, a multi-photon state encoded in polarizations of photons could be transformed into the corresponding single photon qudit encoded in spatial mode. It will make the processing on multi-photon change into the operation on a single-photon, if the inverse transformation from a single photon qudit back to a multi-photon state could be realized also. Associated with linear optical multi-port interferometer for single-photon unitary operation, the positive-operator value measurement and the universal unitary operation for multi-photon state are realized. This approach is more efficient than the previous one with decomposition into two-qubit gates in the circuit-based quantum computation, and it is feasible with using the current experimental technology.
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Keywords:
- single photon qudit /
- special controlled-NOT gate /
- linear optical multi-port interferometer
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[61] -
[1] Wootters W K, Zurek W H 1982 Nature 299 802
[2] [3] Dieks D 1982 Phys. Lett. A 92 271
[4] [5] Nielsen M A, Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press) pp24, 87,291
[6] [7] Kok P, Munro W J, Nemoto K, Ralph T C, Dowling J P, Milburn G J 2007 Rev. Mod. Phys. 79 135
[8] Reck M, Zeilinger A, Bernstein H J, Bertani P 1994 Phys. Rev. Lett. 73 58
[9] [10] Lin Q 2010 Acta Phys. Sin. 59 2976 (in Chinese) [林 青 2010 59 2976]
[11] [12] Yang Y G, Wen Q Y, Zhu F C 2006 Acta Phys. Sin. 55 3255(in Chinese) [杨宇光、温巧燕、朱甫臣 2006 55 3255]
[13] [14] [15] Lin Q 2009 Chin. Phys. Lett. 26 040301
[16] [17] Zheng Y Z, Gu Y J, Wu G C, Guo G C 2003 Chin. Phys. B 12 1070
[18] [19] Guo F Z, Gao F, Wen Q Y, Zhu F C 2006 Chin. Phys. B 15 1690
[20] Zhan Y B 2007 Chin. Phys. B 16 2557
[21] [22] Chen L B, Lu H, Jin R B 2007 Chin. Phys. B 16 3204
[23] [24] [25] Vidal G, Dawson C M 2004 Phys. Rev. A 69 R010301
[26] Vatan F, Williams C 2004 Phys. Rev. A 69 032315
[27] [28] [29] Mottonen M, Vartiainen J J, Bergholm V, Salomaa M M 2004 Phys. Rev. Lett. 93 130502
[30] Pittman T B, Jacobs B C, Franson J D 2001 Phys. Rev. A 64 062311
[31] [32] [33] Pittman T B, Fitch M J, Jacobs B C, Franson J D 2003 Phys. Rev. A 68 032316
[34] Lin Q, Li J 2009 Phys. Rev. A 79 022301
[35] [36] [37] Lin Q, He B 2009 Phys. Rev. A 80 042310
[38] [39] Lin Q, He B, Bergou J A, Ren Y H 2009 Phys. Rev. A 80 042311
[40] [41] Ltkenhaus N, Calsamiglia J, Suominen K A 1999 Phys. Rev. A 59 3295
[42] [43] Calsamiglia J, Lkenhaus N 2001 Appl. Phys. B 72 67
[44] [45] Ahnert S E, Payne M C 2005 Phys. Rev. A 71 012330
[46] [47] Ahnert S E, Payne M C 2006 Phys. Rev. A 73 022333
[48] [49] Lin Q, Li J, Guo G C 2006 J. Phys. B 39 3649
[50] [51] Lin Q 2009 Commun. Theor. Phys. 51 244
[52] Lin Q 2010 Chin. Phys. Lett. 27 120302
[53] [54] [55] O Brien J L, Pryde G J, White A G, Ranph T C, Branning D 2003 Nature 426 264
[56] Zhao Z, Zhang A N, Chen Y A, Zhang H, Du J F, Yang T, Pan J W 2005 Phys. Rev. Lett. 94 030501
[57] [58] [59] Okamoto R, Hofmann H F, Takeuchi S, Sasaki K 2005 Phys. Rev. Lett. 95 210506
[60] Bao X H, Chen T Y, Zhang Q, Yang J, Zhang H, Yang T, Pan J W 2007 Phys. Rev. Lett. 98 170502
[61]
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