Topologically protecting squeezed light on a photonic chip

Ruo-Jing Ren; Yong-Heng Lu; Ze-Kun Jiang; Jun Gao; Wen-Hao Zhou; Yao Wang; Zhi-Qiang Jiao; Xiao-Wei Wang; Alexander S. Solntsev; Xian-Min Jin

doi:10.1364/PRJ.445728

[1] M. Nielsen, I. Chuang. Quantum Computation and Quantum Information(2000).

[2] T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, J. L. O’Brien. Quantum computers. Nature, 464, 45-53(2010).

[3] G. Popkin. Quest for qubits. Science, 354, 1090-1093(2016).

[4] L. Mandel, E. Wolf. Optical Coherence and Quantum Optics(1995).

[5] J. L. O’Brien, A. Furusawa, J. Vučković. Photonic quantum technologies. Nat. Photonics, 3, 687-695(2009).

[6] N. Gisin, G. Ribordy, W. Tittel, H. Zbinden. Quantum cryptography. Rev. Mod. Phys., 74, 145-195(2002).

[7] F. Xu, X. Ma, Q. Zhang, H.-K. Lo, J.-W. Pan. Secure quantum key distribution with realistic devices. Rev. Mod. Phys., 92, 025002(2020).

[8] C. K. Hong, Z. Y. Ou, L. Mandel. Measurement of subpicosecond time intervals between two photons by interference. Phys. Rev. Lett., 59, 2044-2046(1987).

[9] P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, G. J. Milburn. Linear optical quantum computing with photonic qubits. Rev. Mod. Phys., 79, 135-174(2007).

[10] M. Lebugle, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Nolte, A. Szameit. Experimental observation of N00N state Bloch oscillations. Nat. Commun., 6, 8273(2015).

[11] C. Sparrow, E. Martín-López, N. Maraviglia, A. Neville, C. Harrold, J. Carolan, Y. N. Joglekar, T. Hashimoto, N. Matsuda, J. L. O’Brien, D. P. Tew, A. Laing. Simulating the vibrational quantum dynamics of molecules using photonics. Nature, 557, 660-667(2018).

[12] S. L. Braunstein, P. van Loock. Quantum information with continuous variables. Rev. Mod. Phys., 77, 513-577(2005).

[13] C. Weedbrook, S. Pirandola, R. García-Patrón, N. J. Cerf, T. C. Ralph, J. H. Shapiro, S. Lloyd. Gaussian quantum information. Rev. Mod. Phys., 84, 621-669(2012).

[14] C. S. Hamilton, R. Kruse, L. Sansoni, S. Barkhofen, C. Silberhorn, I. Jex. Gaussian Boson sampling. Phys. Rev. Lett., 119, 170501(2017).

[15] D. Gottesman, A. Kitaev, J. Preskill. Encoding a qubit in an oscillator. Phys. Rev. A, 64, 012310(2001).

[16] C. Kurtsiefer, M. Oberparleiter, H. Weinfurter. Generation of correlated photon pairs in type-II parametric down conversion-revisited. J. Mod. Opt., 48, 1997-2007(2001).

[17] L. Caspani, C. Xiong, B. J. Eggleton, D. Bajoni, M. Liscidini, M. Galli, R. Morandotti, D. J. Moss. Integrated sources of photon quantum states based on nonlinear optics. Light Sci. Appl., 6, e17100(2017).

[18] P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, Y. Shih. New high-intensity source of polarization-entangled photon pairs. Phys. Rev. Lett., 75, 4337-4341(1995).

[19] J.-W. Pan, M. Daniell, S. Gasparoni, G. Weihs, A. Zeilinger. Experimental demonstration of four-photon entanglement and high-fidelity teleportation. Phys. Rev. Lett., 86, 4435-4438(2001).

[20] X.-L. Wang, L.-K. Chen, W. Li, H.-L. Huang, C. Liu, C. Chen, Y.-H. Luo, Z.-E. Su, D. Wu, Z.-D. Li, H. Lu, Y. Hu, X. Jiang, C.-Z. Peng, L. Li, N.-L. Liu, Y.-A. Chen, C.-Y. Lu, J.-W. Pan. Experimental ten-photon entanglement. Phys. Rev. Lett., 117, 210502(2016).

[21] H.-S. Zhong, Y. Li, W. Li, L.-C. Peng, Z.-E. Su, Y. Hu, Y.-M. He, X. Ding, W. Zhang, H. Li, L. Zhang, Z. Wang, L. You, X.-L. Wang, X. Jiang, L. Li, Y.-A. Chen, N.-L. Liu, C.-Y. Lu, J.-W. Pan. 12-photon entanglement and scalable scattershot boson sampling with optimal entangled-photon pairs from parametric down-conversion. Phys. Rev. Lett., 121, 250505(2018).

[22] J.-W. Wang, F. Sciarrino, A. Laing, M. G. Thompson. Integrated photonic quantum technologies. Nat. Photonics, 14, 273-284(2020).

[23] F. Flamini, N. Spagnolo, F. Sciarrino. Photonic quantum information processing: a review. Rep. Prog. Phys., 82, 016001(2019).

[24] J. B. Spring, P. S. Salter, B. J. Metcalf, P. C. Humphreys, M. Moore, N. Thomas-Peter, M. Barbieri, X.-M. Jin, N. K. Langford, W. S. Kolthammer, M. J. Booth, I. A. Walmsley. On-chip low loss heralded source of pure single photons. Opt. Express, 21, 13522-13532(2013).

[25] J. B. Spring, P. L. Mennea, B. J. Metcalf, P. C. Humphreys, J. C. Gates, H. L. Rogers, C. Söller, B. J. Smith, W. S. Kolthammer, P. G. R. Smith, I. A. Walmsley. A chip-based array of near-identical, pure, heralded single photon sources. Optica, 4, 90-96(2017).

[26] J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, M. G. Thompson. On-chip quantum interference between silicon photon-pair sources. Nat. Photonics, 8, 104-108(2014).

[27] S. Paesani, M. Borghi, S. Signorini, A. Maïnos, L. Pavesi, A. Laing. Near-ideal spontaneous photon sources in silicon quantum photonics. Nat. Commun., 11, 2505(2020).

[28] R.-J. Ren, J. Gao, W.-H. Zhou, Z.-Q. Jiao, L.-F. Qiao, X.-W. Wang, X.-M. Jin. 128 identical quantum sources integrated on a single silica chip. Phys. Rev. Applied, 16, 054026(2021).

[29] J.-W. Wang, S. Paesani, Y. Ding, R. Santagati, P. Skrzypczyk, A. Salavrakos, J. Tura, R. Augusiak, L. Mančinska, D. Bacco, D. Bonneau, J. W. Silverstone, Q. Gong, A. Acín, K. Rottwitt, L. K. Oxenløwe, J. L. O’Brien, A. Laing, M. G. Thompson. Multidimensional quantum entanglement with large-scale integrated optics. Science, 360, 285-291(2018).

[30] K. M. Davis, K. Miura, N. Sugimoto, K. Hirao. Writing waveguides in glass with a femtosecond laser. Opt. Lett., 21, 1729-1731(1996).

[31] R. Osellame, G. Cerullo, R. Ramponi. Femtosecond Laser Micromachining: Photonic and Microfluidic Devices in Transparent Materials(2012).

[32] H. Tang, X.-F. Lin, Z. Feng, J.-Y. Chen, J. Gao, K. Sun, C.-Y. Wang, P.-C. Lai, X.-Y. Xu, Y. Wang, L.-F. Qiao, A.-L. Yang, X.-M. Jin. Experimental two-dimensional quantum walk on a photonic chip. Sci. Adv., 4, eaat3174(2018).

[33] H. Tang, C. D. Franco, Z.-Y. Shi, T.-S. He, Z. Feng, J. Gao, K. Sun, Z.-M. Li, Z.-Q. Jiao, T.-Y. Wang, M. S. Kim, X.-M. Jin. Experimental quantum fast hitting on hexagonal graphs. Nat. Photonics, 12, 754-758(2018).

[34] Z.-Q. Jiao, J. Gao, W.-H. Zhou, X.-W. Wang, R.-J. Ren, X.-Y. Xu, L.-F. Qiao, Y. Wang, X.-M. Jin. Two-dimensional quantum walk of correlated photons. Optica, 8, 1129-1135(2021).

[35] D. Leykam, A. S. Solntsev, A. A. Sukhorukov, A. S. Desyatnikov. Lattice topology and spontaneous parametric down-conversion in quadratic nonlinear waveguide arrays. Phys. Rev. A, 92, 033815(2015).

[36] D. Smirnova, D. Leykam, Y. Chong, Y. Kivshar. Nonlinear topological photonics. Appl. Phys. Rev., 7, 021306(2020).

[37] A. Blanco-Redondo, B. Bell, D. Oren, B. J. Eggleton, M. Segev. Topological protection of biphoton states. Science, 362, 568-571(2018).

[38] M. Wang, C. Doyle, B. Bell, M. J. Collins, E. Magi, B. J. Eggleton, M. Segev, A. Blanco-Redondo. Topologically protected entangled photonic states. Nanophotonics, 8, 1327-1335(2019).

[39] K. Tschernig, Á. Jimenez-Galán, D. N. Christodoulides, M. Ivanov, K. Busch, M. A. Bandres, A. Perez-Leija. Topological protection versus degree of entanglement of two-photon light in photonic topological insulators. Nat. Commun., 12, 1974(2021).

[40] M. C. Rechtsman, Y. Lumer, Y. Plotnik, A. Perez-Leija, A. Szameit, M. Segev. Topological protection of photonic path entanglement. Optica, 3, 925-930(2016).

[41] Y. Wang, X.-L. Pang, Y.-H. Lu, J. Gao, Y.-J. Chang, L.-F. Qiao, Z.-Q. Jiao, H. Tang, X.-M. Jin. Topological protection of two-photon quantum correlation on a photonic chip. Optica, 6, 955-960(2019).

[42] Y. Wang, Y.-H. Lu, J. Gao, R.-J. Ren, Y.-J. Chang, Z.-Q. Jiao, Z.-Y. Zhang, X.-M. Jin. Topologically protected quantum entanglement(2019).

[43] W. P. Su, J. R. Schrieffer, A. J. Heeger. Solitons in polyacetylene. Phys. Rev. Lett., 42, 1698-1701(1979).

[44] L. Lu, J. D. Joannopoulos, M. Soljacic. Topological photonics. Nat. Photonics, 8, 821-829(2014).

[45] T. Ozawa, H. M. Price, A. Amo, N. Goldman, M. Hafezi, L. Lu, M. C. Rechtsman, D. Schuster, J. Simon, O. Zilberberg, I. Carusotto. Topological photonics. Rev. Mod. Phys., 91, 015006(2019).

[46] A. Blanco-Redondo, I. Andonegui, M. J. Collins, G. Harari, Y. Lumer, M. C. Rechtsman, B. J. Eggleton, M. Segev. Topological optical waveguiding in silicon and the transition between topological and trivial defect states. Phys. Rev. Lett., 116, 163901(2016).

[47] J. Zak. Berry’s phase for energy bands in solids. Phys. Rev. Lett., 62, 2747-2750(1989).

[48] P. Delplace, D. Ullmo, G. Montambaux. Zak phase and the existence of edge states in graphene. Phys. Rev. B, 84, 195452(2011).

[49] J. Noh, W. A. Benalcazar, S. Huang, M. J. Collins, K. P. Chen, T. L. Hughes, M. C. Rechtsman. Topological protection of photonic mid-gap defect modes. Nat. Photonics, 12, 408-415(2018).

[50] A. Moroz. Minima and maxima of the local density of states for one-dimensional periodic systems. Europhys. Lett., 46, 419-424(1999).

[51] M. Verbin, O. Zilberberg, Y. E. Kraus, Y. Lahini, Y. Silberberg. Observation of topological phase transitions in photonic quasicrystals. Phys. Rev. Lett., 110, 076403(2013).

[52] H. de Riedmatten, J. Laurat, C. W. Chou, E. W. Schomburg, D. Felinto, H. J. Kimble. Direct measurement of decoherence for entanglement between a photon and stored atomic excitation. Phys. Rev. Lett., 97, 113603(2006).

[53] A. Christ, K. Laiho, A. Eckstein, K. N. Cassemiro, C. Silberhorn. Probing multimode squeezing with correlation functions. New J. Phys., 13, 033027(2011).

[54] A. I. Lvovsky, D. L. Andrews. Squeezed light. Photonics(2015).

[55] J. M. Arrazola, V. Bergholm, K. Brádler, T. R. Bromley, M. J. Collins, I. Dhand, A. Fumagalli, T. Gerrits, A. Goussev, L. G. Helt, J. Hundal, T. Isacsson, R. B. Israel, J. Izaac, S. Jahangiri, R. Janik, N. Killoran, S. P. Kumar, J. Lavoie, A. E. Lita, D. H. Mahler, M. Menotti, B. Morrison, S. W. Nam, L. Neuhaus, H. Y. Qi, N. Quesada, A. Repingon, K. K. Sabapathy, M. Schuld, D. Su, J. Swinarton, A. Száva, K. Tan, P. Tan, V. D. Vaidya, Z. Vernon, Z. Zabaneh, Y. Zhang. Quantum circuits with many photons on a programmable nanophotonic chip. Nature, 591, 54-60(2021).

[56] A. Szameit, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann. Control of directional evanescent coupling in fs laser written waveguides. Opt. Express, 15, 1579-1587(2007).