Abstract
Multiphoton entanglement, as a quantum resource, plays an essential role in linear optical quantum information processing. Krenn et al. (Phys. Rev. Lett. 118, 080401 2017) proposed an innovative scheme that generating entanglement by path identity, in which two-photon interference (called Hong-Ou-Mandel effect) is not necessary in experiment. However, the experiments in this scheme have strict requirements in stability and scalability, which is difficult to be realized in bulk optics. To solve this problem, in this paper we first propose an on-chip scheme to generate multi-photon polarization entangled states, including Greenberger-Horne-Zeilinger (GHZ) states and W states. Moreover, we also present a class of generalized graphs for W states (odd-number-photon) by path identity in theory. The on-chip scheme can be implemented in existing integrated optical technology which is meaningful for multi-party entanglement distribution in quantum communication networks.
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References
Clarke, J., Wilhelm, F.K.: Superconducting quantum bits. Nature 453, 1031 (2008)
Blatt, R., Wineland, D.: Entangled states of trapped atomic ions. Nature 453, 1008 (2008)
Kwiat, P.G., Mattle, K., Weinfurter, H., Zeilinger, A., Sergienko, A.V., Shih, Y.H.: New high-intensity source of polarization-entangled photon pairs. Phys. Rev. Lett. 75, 4337 (1995)
Pan, J.-W., Chen, Z.-B., Lu, C.-Y., Weinfurter, H., Zeilinger, A., Zukowski, M.: Multi-photon entanglement and interferometry. Rev. Mod. Phys. 84, 777 (2012)
Gisin, N., Ribordy, G., Tittel, W., Zbinden, H.: Quantum cryptography. Rev. Mod. Phys. 74, 145 (2002)
Bouwmeester, D., Pan, J.-W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390, 575 (1997)
Zhang, W., Ding, D.-S., Sheng, Y.-B., Zhou, L., Shi, B.-S., Guo, G.-C.: Quantum secure direct communication with quantum memory. Phys. Rev. Lett. 118, 220501 (2017)
Sheng, Y.B., Zhou, L.: Distributed secure quantum machine learning. Sci. Bull. 62(14), 1025–1029 (2017)
Zhu, F., Zhang, W., Sheng, Y.B., Huang, Y.D.: Experimental long-distance quantum secure direct communication. Sci. Bull. 62, 1519–1524 (2017)
Giovannetti, V., Lloyd, S., Maccone, L.: Quantum-enhanced measurements: beating the standard quantum limit. Science 306, 1330 (2004)
Lanyon, B.P., Whitfield, J.D., Gillett, G.G., Goggin, M.E., Almeida, M.P., Kassal, I., Biamonte, J.D., Mohseni, M., Powell, B.J., Barbieri, M., Aspuru-Guzik, A., White, A.G.: Towards quantum chemistry on a quantum computer. Nat. Chem. 2, 106–111 (2010)
Peruzzo, A., McClean, J., Shadbolt, P., Yung, M.-H., Zhou, X.-Q., Love, P.J., Aspuru-Guzik, A., O’Brien, J.L.: A variational eigenvalue solver on a photonic quantum processor. Nat. Commun. 5, 4213 (2014)
Alán, A.G., Walther, P.: Photonic quantum simulators. Nat. Physics 8, 285 (2012)
Knill, E., Laflamme, R., Milburn, G.J.: A scheme for efficient quantum computation with linear optics. Nature 409, 46 (2001)
Kok, P., Munro, W.J., Nemoto, K., Ralph, T.C., Dowling, J.P., Milburn, G.J.: Linear optical quantum computing with photonic qubits. Rev. Mod. Phys. 79, 135 (2007)
Walther, P., Resch, K.J., Rudolph, T., Schenck, E., Weinfurter, H., Vedral, V., Aspelmeyer, M., Zeilinger, A.: Experimental one-way quantum computing. Nature 434, 169 (2005)
Qiang, X., Zhou, X., Wang, J., Wilkes, C.M., Loke, T., O’Gara, S., Kling, L., Marshall, G.D., Santagati, R., Ralph, T.C., Wang, J.B., O’Brien, J.L., Thompson, M.G., Matthews, J.C.F.: Large-scale silicon quantum photonics implementing arbitrary two-qubit processing. Nat. Photonics 12, 534 (2018)
Yao, X.-C., Wang, T.-X., Xu, P., Lu, H., Pan, G.-S., Bao, X.-H., Peng, C.-Z., Lu, C.-Y., Chen, Y.-A., Pan, J.-W.: Observation of eight-photon entanglement. Nat. Photonics 6, 225 (2012)
Wang, X.-L., Chen, L.-K., Li, W., Huang, H.-L., Liu, C., Chen, C., Luo, Y.-H., Su, Z.-E., Wu, D., Li, Z.-D., Lu, H., Hu, Y., Jiang, X., Peng, C.-Z., Li, L., Liu, N.-L., Chen, Y.-A., Lu, C.-Y., Pan, J.-W.: Experimental ten-photon entanglement. Phys. Rev. Lett. 117, 210502 (2016)
Zhong, H.-S., Li, Y., Li, W., Peng, L.-C., Su, Z.-E., Hu, Y., He, Y.- M., Ding, X., Zhang, W.-J., Li, H., Zhang, L., Wang, Z., You, L.-X., Wang, X.-L., Jiang, X., Li, L., Chen, Y.-A., Liu, N.-L., Lu, C.-Y., Pan, J.-W.: 12-photon entanglement and scalable scattershot boson sampling with optimal entangled-photon pairs from parametric down-conversion. Phys. Rev. Lett. 121, 250505 (2018)
Ou, Z.Y., Mandel, L.: Violation of bell’s inequality and classical probability in a two-photon correlation experiment. Phys. Rev. Lett. 61, 50 (1988)
Adcock, J.C., Vigliar, C., Santagati, R., Silverstone, J.W., Thompson, M.G.: Programmable four-photon graph states on a silicon chip. arXiv:1811.03023v1 (2018)
Krenn, M., Hochrainer, A., Lahiri, M., Zeilinger, A.: Entanglement by path identity. Phys. Rev. Lett. 118, 080401 (2017)
Zou, X.Y., Wang, L.J., Mandel, L.: Induced coherence and indistinguishability in optical interference. Phys. Rev. Lett. 67, 318 (1991)
Greenberger, D.M., Horne, M.A., Shimony, A., Zeilinger, A.: Bell’s theorem without inequalities. Am. J. Phys. 58, 1131 (1990)
Moreno, M., Cunha, M., Parisio, F.: Remote preparation of W states from imperfect bipartite sources. Quantum Inf. Process 15(9), 1–11 (2015)
Rangarajan, R., Goggin, M., Kwiat, P.: Optimizing type-I polariza-tion-entangled photons. Opt. Express 17(21), 18920–18933 (2009)
Niu, X.L., Huang, Y.F., Xiang, G.Y., Guo, G.C., Ou, Z.Y.: Beamlike high-brightness source of polarization-entangled photon pairs. Opt. Lett. 33, 968 (2008)
Lahiri, M.: Many-particle interferometry and entanglement by path identity. Phys. Rev. A 98, 033822 (2018)
Krenn, M., Gu, X., Zeilinger, A.: Quantum experiments and graphs: Multiparty states as coherent superpositions of perfect matchings. Phys. Rev. Lett. 119, 240403 (2017)
Gu, X., Erhard, M., Zeilinger, A., Krenn, M.: Quantum Experiments and Graphs II: Computation and State Generation with Probabilistic Sources and Linear Optics. arXiv:1803.10736 (2018)
Gu, X., Chen, L., Zeilinger, A., Krenn, M.: Quantum experiments and graphs III: high-dimensional and multi-particle entanglement. arXiv:1812.09558 (2018)
Erhard, M., Malik, M., Krenn, M., Zeilinger, A.: Experimental Greenberger-Horne-Zeilinger entanglement beyond qubits. Nat. Photonics 12, 759 (2018)
Silverstone, J.W., Bonneau, D., Ohira, K., Suzuki, N., Yoshida, H., Iizuka, N., Ezaki, M., Natarajan, C.M., Tanner, M.G., Hadfield, R.H., Zwiller, V., Marshall, G.D., Rarity, J.G., O’Brien, J.L., Thompson, M.G.: On-chip quantum interference between silicon photon-pair sources. Nat. Photonics 8, 104 (2013)
Jin, H., Liu, F.M., Xu, P., Xia, J.L., Zhong, M.L., Yuan, Y., Zhou, J.W., Gong, Y.X., Wang, W., Zhu, S.N.: On-Chip Generation and manipulation of entangled photons based on reconfigurable Lithium-Niobate waveguide circuits. Phys. Rev. Lett. 113, 103601 (2014)
Faruque, I.I., Sinclair, G.F., Bonneau, D., Rarity, J.G., Thompson, M.G.: On-chip quantum interference with heralded photons from two independent micro-ring resonator sources in silicon photonics. Opt. Express 26(16), 20379 (2018)
Olislager, L., Safioui, J., Clemmen, S., Huy, K.P., Bogaerts, W., Baets, R., Emplit, P., Massar, S.: Silicon-on-insulator integrated source of polarization-entangled photons. Opt. Lett. 38, 1960 (2013)
Wang, J., Bonneau, D., Villa, M., Silverstone, J.W., Santagati, R., Miki, S., Yamashita, T., Fujiwara, M., Sasaki, M., Terai, H., Tanner, M.G., Natarajan, C.M., Hadfield, R.H., O’Brien, J.L., Thompson, M.G.: Chip-to-chip quantum photonic interconnect by path-polarization interconversion. Optica 3(4), 407 (2016)
Gimeno-Segovia, M., Shadbolt, P., Browne, D.E., Rudolph, T.: From three-photon Greenberger-Horne-Zeilinger states to ballistic universal quantum computation. Phys. Rev. Lett. 115(2), 020502 (2015)
Zhao, Z., Chen, Y.A., Zhang, A.N., Yang, T., Briegel, H.J., Pan, J.W.: Experimental demonstration of five-photon entanglement and open-destination teleportation. Nature 430(6995), 54–58 (2004)
Dicke, R.H.: Coherence in spontaneous radiation processes. Phys. Rev. 93, 99 (1954)
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The research is funded by Project supported by the National Science Foundation of Guangdong Province, China (Grant No.2016A030312012).
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Feng, T., Zhang, X., Tian, Y. et al. On-Chip Multiphoton Entangled States by Path Identity. Int J Theor Phys 58, 3726–3733 (2019). https://doi.org/10.1007/s10773-019-04243-z
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DOI: https://doi.org/10.1007/s10773-019-04243-z