Enlarge the scale of W state by connecting multiple existed W states. (English) Zbl 1333.81057
Summary: We propose a simple scheme to generate large-scale W state. With the cross-phase modulation, we design a photon number resolving discrimination. This discrimination, associated with some single-photon operations, is enough to connect the existed W states. No more two-photon or multi-photon operations are required. This scheme is powerful and flexible for connecting arbitrary number of W states. It is therefore suitable for creating large-scale W state with the current technology.
MSC:
| 81P40 | Quantum coherence, entanglement, quantum correlations |
References:
| [1] | Ekert, A.K.: Quantum cryptography based on Bells theorem. Phys. Rev. Lett. 67, 661-663 (1991) · Zbl 0990.94509 · doi:10.1103/PhysRevLett.67.661 |
| [2] | Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895-1899 (1993) · Zbl 1051.81505 · doi:10.1103/PhysRevLett.70.1895 |
| [3] | Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A 65, 032302 (2002) · doi:10.1103/PhysRevA.65.032302 |
| [4] | Deng, F.G., Long, G.L., Liu, X.S.: Two-step quantum direct communication protocol using the Einstein-Podolsky-Rosen pair block. Phys. Rev. A 68, 042317 (2003) · doi:10.1103/PhysRevA.68.042317 |
| [5] | Zheng, C., Long, G.F.: Quantum secure direct dialogue using Einstein-Podolsky-Rosen pairs. Sci. China Phys. Mech. Astron. 57, 1238-1243 (2014) · doi:10.1007/s11433-014-5461-x |
| [6] | Su, X.L., Jia, X.J., Xie, C.D., Peng, K.C.: Preparation ofmultipartite entangled states used for quantum information networks. Sci. China Phys. Mech. Astron. 57, 1210-1217 (2014) · doi:10.1007/s11433-013-5358-0 |
| [7] | Zou, X.F., Qiu, D.W.: Three-step semiquantum secure direct communication protocol. Sci. China Phys. Mech. Astron. 57, 1696-1702 (2014) · doi:10.1007/s11433-014-5542-x |
| [8] | Zhang, C.M., Song, X.T., Treeviriyanupab, P., Li, M., Wang, C., Li, H.W., Yin, Z.Q., Chen, W., Han, Z.F.: Delayed error verification in quantum key distribution. Chin. Sci. Bull. 59, 2825-2828 (2014) · doi:10.1007/s11434-014-0446-8 |
| [9] | Dür, W., Vidal, G., Cirac, J.I.: Three qubits can be entangled in two inequivalent ways. Phys. Rev. A 62, 062314 (2000) · doi:10.1103/PhysRevA.62.062314 |
| [10] | Murao, M., Jonathan, D., Plenio, M.B., Vedral, V.: Quantum telecloning and multiparticle entanglement. Phys. Rev. A 59, 156-161 (1999) · doi:10.1103/PhysRevA.59.156 |
| [11] | D’Hondt, E., Panangaden, P.: The computational power of the W and GHZ states. Quantum Inf. Comput. 6, 173-183 (2006) · Zbl 1152.81703 |
| [12] | Joo, J., Lee, J., Jang, J., Park, Y.J.: Quantum secure communication via a W state. J. Korean Phys. Soc. 46, 763-768 (2005) |
| [13] | Ng, H.T., Kim, K.: Quantum estimation of magnetic-field gradient using W-state. Opt. Commun. 331, 353-358 (2014) · doi:10.1016/j.optcom.2014.06.048 |
| [14] | Zou, X.B., Pahlke, K., Mathis, W.: Generation of an entangled four-photon W state. Phys. Rev. A 66, 044302 (2002) · doi:10.1103/PhysRevA.66.044302 |
| [15] | Yamamoto, T., Tamaki, K., Koashi, M., Imoto, N.: Polarization-entangled W state using parametric down-conversion. Phys. Rev. A 66, 064301 (2002) · doi:10.1103/PhysRevA.66.064301 |
| [16] | Li, Y., Kobayashi, T.: Four-photon W state using two-crystal geometry parametric down-conversion. Phys. Rev. A 70, 014301 (2004) · doi:10.1103/PhysRevA.70.014301 |
| [17] | Shi, B.S., Tomita, A.: Creation of a polarization W state using optical fibre multiports. J. Mod. Opt. 52, 755-761 (2005) · doi:10.1080/09500340412331289565 |
| [18] | Tashima, T., Özdemir, S.K., Yamamoto, T., Koashi, M., Imoto, N.: An elementary optical gate for expanding an entanglement web. Phys. Rev. A 77, 030302 (2008) · Zbl 1162.81355 · doi:10.1103/PhysRevA.77.030302 |
| [19] | Tashima, T., Özdemir, S.K., Yamamoto, T., Koashi, M., Imoto, N.: Local expansion of photonic W state using a polarization-dependent beamsplitter. New J. Phys. 11, 023024 (2009) · Zbl 1191.81040 · doi:10.1088/1367-2630/11/2/023024 |
| [20] | Ikuta, R., Tashima, T., Yamamoto, T., Koashi, M., Imoto, N.: Optimal local expansion of W states using linear optics and Fock states. Phys. Rev. A 83, 012314 (2011) · doi:10.1103/PhysRevA.83.012314 |
| [21] | Gong, Y.X., Zou, X.B., Huang, Y.F., Guo, G.C.: Simple scheme for expanding a polarization-entangled W state adding one photon. J. Phys. B: At. Mol. Opt. Phys. 42, 035503 (2013) · doi:10.1088/0953-4075/42/3/035503 |
| [22] | Özdemir, S.K., Matsunaga, E., Tashima, T., Yamamoto, T., Koashi, M., Imoto, N.: An optical fusion gate for W-states. New J. Phys. 13, 103003 (2011) · doi:10.1088/1367-2630/13/10/103003 |
| [23] | Bugu, S., Yesilyurt, C., Ozaydin, F.: Enhancing the W-state quantum-network-fusion process with a single Fredkin gate. Phys. Rev. A 87, 032331 (2013) · doi:10.1103/PhysRevA.87.032331 |
| [24] | Ozaydin, F., Bugu, S., Yesilyurt, C., Altintas, A.A., Tame, M., Özdemir, S.K.: Fusing multiple W states simultaneously with a Fredkin gate. Phys. Rev. A 89, 042311 (2014) · doi:10.1103/PhysRevA.89.042311 |
| [25] | Yesilyurt, C., Bugu, S., Ozaydin, F.: An optical gate for simultaneous fusion of four photonic W or Bell states. Quantum Inf. Process. 12, 2965-2975 (2013) · Zbl 1273.81042 · doi:10.1007/s11128-013-0578-9 |
| [26] | Lin, Q.: Efficient generation of multi-photon W state. Sci. Sin.-Phys. Mech. Astron. 42, 54-60 (2012). (in Chinese) · doi:10.1360/132011-852 |
| [27] | Han, X., Hu, S., Guo, Q., Wang, H.F., Zhang, S.: Effective scheme for W-state fusion with weak cross-Kerr nonlinearities. Quantum Inf. Process. 14, 1919-1932 (2015) · Zbl 1317.81028 · doi:10.1007/s11128-015-0960-x |
| [28] | Hu, J.R., Lin, Q.: W state generation by adding independent single photons. Quantum Inf. Process. 14, 2847-2860 (2015) · Zbl 1327.81044 · doi:10.1007/s11128-015-1030-0 |
| [29] | Heilmann, R., Gräfe, M., Nolte, S., Szameit, A.: A novel integrated quantum circuit for high-order W-state generation and its highly precise characterization. Sci. Bull. 60, 96-100 (2015) · doi:10.1007/s11434-014-0688-5 |
| [30] | Xu, J.S., Li, C.F.: Quantum integrated circuit: classical characterization. Sci. Bull. 60, 141-141 (2015) · doi:10.1007/s11434-014-0703-x |
| [31] | Eibl, M., Kiesel, N., Bourennane, M., Kurtsiefer, C., Weinfurter, H.: Experimental realization of a three-qubit entangled W state. Phys. Rev. Lett. 92, 077901 (2014) · doi:10.1103/PhysRevLett.92.077901 |
| [32] | Mikami, H., Li, Y., Fukuoka, K., Fukuoka, K., Kobayashi, T.: New high-efficiency source of a three-photon w state and its full characterization using quantum state tomography. Phys. Rev. Lett. 95, 150404 (2005) · doi:10.1103/PhysRevLett.95.150404 |
| [33] | Kiesel, N., Schmid, C., Tth, G., Solano, E., Weinfurter, H.: Experimental observation of four-photon entangled Dicke state with high fidelity. Phys. Rev. Lett. 98, 063604 (2007) · doi:10.1103/PhysRevLett.98.063604 |
| [34] | Tashima, T., Wakatsuki, T., Özdemir, S.K., Yamamoto, T., Koashi, M., Imoto, N.: Local transformation of two EPR photon pairs into a three-photon W state. Phys. Rev. Lett. 102, 130502 (2009) · Zbl 1191.81040 · doi:10.1103/PhysRevLett.102.130502 |
| [35] | Tashima, T., Kitano, T., Özdemir, S.K., Yamamoto, T., Koashi, M., Imoto, N.: Demonstration of local expansion toward large-scale entangled webs. Phys. Rev. Lett. 105, 210503 (2010) · doi:10.1103/PhysRevLett.105.210503 |
| [36] | Gräfe, M., Heilmann, R., Perez-Leijia, A., Keil, R., Dreisow, F., Heinrich, M., Moya-cessa, H., Nolte, S., Christodoulides, D.N., Szameit, A.: On-chip generation of high-order single-photon W-states. Nat. Photonics 8, 791-795 (2014) · doi:10.1038/nphoton.2014.204 |
| [37] | Barrett, S.D., Kok, P., Nemoto, K., Beausoleil, R.G., Munro, W.J., Spiller, T.P.: Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities. Phys. Rev. A 71, 060302 (R) (2005) · doi:10.1103/PhysRevA.71.060302 |
| [38] | Nemoto, K., Munro, W.J.: Nearly deterministic linear optical controlled-NOT gate. Phys. Rev. Lett. 93, 250502 (2004) · doi:10.1103/PhysRevLett.93.250502 |
| [39] | Munro, W.J., Nemoto, K., Spiller, T.P.: Weak nonlinearities: a new route to optical quantum computation. New J. Phys. 7, 137 (2005) · doi:10.1088/1367-2630/7/1/137 |
| [40] | Spiller, T.P., Nemoto, K., Braunstein, S.L., Munro, W.J., van Loock, P., Milburn, G.J.: Quantum computation by communication. New J. Phys. 8, 30 (2006) · doi:10.1088/1367-2630/8/2/030 |
| [41] | Lin, Q., Li, J.: Quantum control gates with weak cross-Kerr nonlinearity. Phys. Rev. A 79, 022301 (2009) · doi:10.1103/PhysRevA.79.022301 |
| [42] | Lin, Q., He, B.: Single-photon logic gates using minimal resources. Phys. Rev. A 80, 042310 (2009) · doi:10.1103/PhysRevA.80.042310 |
| [43] | Lin, Q., He, B., Bergou, J.A., Ren, Y.H.: Processing multiphoton states through operation on a single photon: methods and applications. Phys. Rev. A 80, 042311 (2009) · doi:10.1103/PhysRevA.80.042311 |
| [44] | Lin, Q., He, B.: Efficient generation of universal two-dimensional cluster states with hybrid systems. Phys. Rev. A 82, 022331 (2010) · doi:10.1103/PhysRevA.82.022331 |
| [45] | Lin, Q., He, B.: Weaving independently generated photons into an arbitrary graph state. Phys. Rev. A 84, 062312 (2011) · doi:10.1103/PhysRevA.84.062312 |
| [46] | Lin, Q., He, B.: Highly efficient processing of multi-photon states. Sci. Rep. 5, 12792 (2015) · doi:10.1038/srep12792 |
| [47] | Sheng, Y.B., Zhou, L., Zhao, S.M., Zheng, B.Y.: Efficient single-photon-assisted entanglement concentration for partially entangled photon pairs. Phys. Rev. A 85, 012307 (2012) · doi:10.1103/PhysRevA.85.012307 |
| [48] | Sheng, Y.B., Zhou, L., Zhao, S.M.: Efficient two-step entanglement concentration for arbitrary W states. Phys. Rev. A 85, 042302 (2012) · doi:10.1103/PhysRevA.85.042302 |
| [49] | Sheng, Y.B., Deng, F.G., Long, G.L.: Complete hyperentangled-Bell-state analysis for quantum communication. Phys. Rev. A 82, 032318 (2010) · doi:10.1103/PhysRevA.82.032318 |
| [50] | Sheng, Y.B., Zhou, L.: Deterministic entanglement distillation for secure double-server blind quantum computation. Sci. Rep. 5, 7815 (2015) · doi:10.1038/srep07815 |
| [51] | Zhou, L., Sheng, Y.B.: Recyclable amplification protocol for the single-photon entangled state. Laser Phys. Lett. 12, 045203 (2015) · doi:10.1088/1612-2011/12/4/045203 |
| [52] | Sheng, Y.B., Zhou, L.: Two-step complete polarization logic Bell-state analysis. Sci. Rep. 5, 13453 (2015) · doi:10.1038/srep13453 |
| [53] | Dong, L., Xiu, X.M., Gao, Y.J., Yi, X.X.: A nearly deterministic scheme for generating chi-type entangled states with weak cross-Kerr nonlinearities. Quantum Inf. Process. 12, 1787-1795 (2013) · Zbl 1267.81061 · doi:10.1007/s11128-012-0481-9 |
| [54] | Dong, L., Wang, J.X., Shen, H.Z., Li, D., Xiu, X.M., Gao, Y.J., Yi, X.X.: Deterministic transmission of an arbitrary single-photon polarization state through bit- ip error channel. Quantum Inf. Process 13, 1413-1424 (2014) · Zbl 1303.81057 · doi:10.1007/s11128-014-0736-8 |
| [55] | Sheng, Y.B., Guo, R., Pan, J., Zhou, L., Wang, X.F.: Two-step measurement of the concurrence for hyperentangled state. Quantum Inf. Process. 14, 963-978 (2015) · Zbl 1311.81040 · doi:10.1007/s11128-015-0916-1 |
| [56] | Zhou, L.: Efficient entanglement concentration for electron-spin W state with the charge detection. Quantum Inf. Process. 12, 2087-2101 (2014) · Zbl 1267.81085 · doi:10.1007/s11128-012-0511-7 |
| [57] | Gea-Banacloche, J.: Impossibility of large phase shifts via the giant Kerr effect with single-photon wave packets. Phys. Rev. A 81, 043823 (2010) · doi:10.1103/PhysRevA.81.043823 |
| [58] | He, B., MacRae, A., Han, Y., Lvovsky, A., Simon, C.: Transverse multimode effects on the performance of photon-photon gates. Phys. Rev. A 83, 022312 (2011) · doi:10.1103/PhysRevA.83.022312 |
| [59] | Rispe, A., He, B., Simon, C.: Photon-Photon Gates in Bose-Einstein Condensates. Phys. Rev. Lett. 107, 043601 (2011) · doi:10.1103/PhysRevLett.107.043601 |
| [60] | He, B., Lin, Q., Simon, C.: Cross-Kerr nonlinearity between continuous-mode coherent states and single photons. Phys. Rev. A 83, 053826 (2011) · doi:10.1103/PhysRevA.83.053826 |
| [61] | He, B., Scherer, A.: Continuous-mode effects and photon-photon phase gate performance. Phys. Rev. A 85, 033814 (2012) · doi:10.1103/PhysRevA.85.033814 |
| [62] | He, B., Sharypov, A.V., Sheng, J., Simon, C., Xiao, M.: Two-photon dynamics in coherent Rydberg atomic ensemble. Phys. Rev. Lett. 112, 133606 (2014) · doi:10.1103/PhysRevLett.112.133606 |
| [63] | Feizpour, A., Hallaji, M., Dmochowski, G., Steinberg, A.M.: Observation of the nonlinear phase shift due to single post-selected photons. Nat. Phys. 11, 905-909 (2015) · doi:10.1038/nphys3433 |
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