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发布日期: Jan 12, 2019
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Localized quantum walks in quasi-periodic Fibonacci arrays of waveguides

References. View by:. Article Order. Year. Author. Publication. A. Ambainis, “Quantum walks and their algorithmic applications,” Int. J. Quant. Inf. 1(4), 507–518 (2003). [Crossref] . A. Montanaro, “Quantum algorithms: an overview, ” Quant. Inf. 2, 15023 (2016). . A. M. Childs, D. Gosset, and Z. Webb, “Universal computation by multiparticle quantum walk,” Science 339(6121), 791–794 (2013). [Crossref] [PubMed] . N. B. Lovett, S. Cooper, M. Everitt, M. Trevers, and V. Kendon, “Universal quantum computation using the discrete-time quantum walk,” Phys. Rev. A 81(4), 042330 (2010). [Crossref] . L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, “Two-particle bosonic-fermionic quantum walk via integrated photonics,” Phys. Rev. Lett. 108(1), 010502 (2012). [Crossref] [PubMed] . J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson sampling on a photonic chip,” Science 339(6121), 798–801 (2013). [Crossref] [PubMed] . B. Do, M. L. Stohler, S. Balasubramanian, D. S. Elliott, C. Eash, E. Fischbach, M. A. Fischbach, A. Mills, and B. Zwickl, “Experimental realization of a quantum quincunx by use of linear optical elements,” J. Opt. Soc. Am. B 22(2), 499–504 (2005). [Crossref] . P. K. Pathak and G. S. Agrawal, “Quantum random walk of two photons in separable and entangled states,” Phys. Rev. A 75(3), 032351 (2007). [Crossref] . A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. OBrien, “Quantum walks of correlated photons,” Science 329(5998), 1500–1503 (2010). [Crossref] [PubMed] . H. B. Perets, Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, and Y. Silberberg, “Realization of quantum walks with negligible decoherence in waveguide lattices,” Phys. Rev. Lett. 100(17), 170506 (2008). [Crossref] [PubMed] . Y. Bromberg, Y. Lahini, R. Morandotti, and Y. Silberberg, “Quantum and classical correlations in waveguide lattices,” Phys. Rev. Lett. 102(25), 253904 (2009). [Crossref] [PubMed] . J. Owens, M. A. Broome, D. N. Biggerstaff, M. E. Goggin, A. Fedrizzi, T. Linjordet, M. Ams, G. D. Marshall, J. Twamley, M. J. Withford, and A. G. White, “Two-photon quantum walks in an elliptical direct-write waveguide array,” New J. Phys. 13(7), 075003 (2011). [Crossref] . 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, and X.-M. Jin, “Experimental two-dimensional quantum walk on a photonic chip,” Sci. Adv. 4(5), t3174 (2018). [PubMed] . A. Crespi, R. Osellame, R. Ramponi, V. Giovannetti, R. Fazio, L. Sansoni, F. De Nicola, F. Sciarrino, and P. Mataloni, “Anderson localization of entangled photons in an integrated quantum walk,” Nat. Photonics 7(4), 322–328 (2013). [Crossref] . Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in one-dimensional disordered photonic lattices,” Phys. Rev. Lett. 100(1), 013906 (2008). [Crossref] [PubMed] . L. Martin, G. Di Giuseppe, A. Perez-Leija, R. Keil, F. Dreisow, M. Heinrich, S. Nolte, A. Szameit, A. F. Abouraddy, D. N. Christodoulides, and B. E. A. Saleh, “Anderson localization in optical waveguide arrays with off-diagonal coupling disorder,” Opt. Express 19(14), 13636–13646 (2011). [Crossref] [PubMed] . C. M. Chandrashekar and Th. Busch, “Localized quantum walks as secured quantum memory,” Europhys. Lett. 110(1), 10005 (2015). [Crossref] . M. Leonetti, S. Karbasi, A. Mafi, E. DelRe, and C. Conti, “Secure information transport by transverse localization of light,” Sci. Rep. 6(1), 29918 (2016). [Crossref] [PubMed] . P. W. Anderson, “Absence of diffusion in certain random lattices,” Phys. Rev. 109(5), 1492–1505 (1958). [Crossref] . M. Segev, Y. Silberberg, and D. N. Christodoulides, “Anderson localization of light,” Nat. Photonics 7(3), 197–204 (2013). [Crossref] . D. Levine and P. J. Steinhardt, “Quasicrystals: A new class of ordered structures,” Phys. Rev. Lett. 53(26), 2477–2480 (1984). [Crossref] . W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, “Localization of light waves in Fibonacci dielectric multilayers,” Phys. Rev. Lett. 72(5), 633–636 (1994). [Crossref] [PubMed] . M. Kohmoto, B. Sutherland, and K. Iguchi, “Localization of optics: Quasiperiodic media,” Phys. Rev. Lett. 58(23), 2436–2438 (1987). [Crossref] [PubMed] . D. T. Nguyen, R. Norwood, and N. Peyghambarian, “Multiple spectral window mirrors based on Fibonacci chains of dielectric layers,” Opt. Commun. 283(21), 4199–4202 (2010). [Crossref] . J. Hendrickson, B. C. Richards, J. Sweet, G. Khitrova, A. N. Poddubny, E. L. Ivchenko, M. Wegener, and H. M. Gibbs, “Excitonic polaritons in Fibonacci quasicrystals,” Opt. Express 16(20), 15382–15387 (2008). [Crossref] [PubMed] . L. Levi, M. Rechtsman, B. Freedman, T. Schwartz, O. Manela, and M. Segev, “Disorder-enhanced transport in photonic quasicrystals,” Science 332(6037), 1541–1544 (2011). [Crossref] [PubMed] . A. Ledermann, L. Cademartiri, M. Hermatschweiler, C. Toninelli, G. A. Ozin, D. S. Wiersma, M. Wegener, and G. von Freymann, “Three-dimensional silicon inverse photonic quasicrystals for infrared wavelengths,” Nat. Mater. 5(12), 942–945 (2006). [Crossref] [PubMed] . https://en.wikipedia.org/wiki/Fibonacci_number . M. Gräfe, R. Heilmann, M. Lebugle, D. Guzman-Silva, A. Perez-Leija, and A. Szameit, “Integrated photonic quantum walks,” J. Opt. 18(10), 103002 (2016). [Crossref] . S. E. Venegas-Andraca, “Quantum walks: a comprehensive review,” Quantum Inform. Process. 11(5), 1015–1106 (2012). [Crossref] . D. T. Nguyen, A. Chavez-Pirson, S. Jiang, and N. Peyghambarian, “A Novel approach of modeling cladding-pumped highly Er–Yb co-doped fiber amplifiers,” IEEE J. Quantum Electron. 43(11), 1018–1027 (2007). [Crossref] . V. Demir, M. Akbulut, D. T. Nguyen, Y. Kaneda, M. Neifeld, and N. Peyghambarian, “Injection-locked, single frequency, multi-core Yb-doped phosphate fiber laser,” Sci. Rep. (to be published). . N. Lo Gullo, C. V. Ambarish, T. Busch, L. Dell’Anna, and C. M. Chandrashekar, “Dynamics and energy spectra of aperiodic discrete-time quantum walks,” Phys. Rev. E 96(1-1), 012111 (2017). [Crossref] [PubMed] . N. M. Lucic, D. M. J. Savic, A. Piper, D. Ž. Grujic, J. M. Vasiljevic, D. V. Pantelic, B. M. Jelenkovic, and D. V. Timotijevic, “Light propagation in quasi-periodic Fibonacci waveguide arrays,” J. Opt. Soc. Am. B 32(7), 1510–1513 (2015). [Crossref] . M. Boguslawski, N. M. Lucic, F. Diebel, D. V. Timotijevic, C. Denz, and D. J. Savic, “Light localization in optically induced deterministic aperiodic Fibonacci lattices,” Optica 3(7), 711–717 (2016). [Crossref] . J. C. F. Matthews, K. Poulios, J. D. A. Meinecke, A. Politi, A. Peruzzo, N. Ismail, K. Wörhoff, M. G. Thompson, and J. L. O’Brien, “Observing fermionic statistics with photons in arbitrary processes,” Sci. Rep. 3(1), 1539 (2013), doi:. [Crossref] [PubMed] . A. Perez-Leija, D. Guzmán-Silva, R. D. J. León-Montiel, M. Gräfe, M. Heinrich, H. Moya-Cessa, K. Busch, and A. Szameit, “Endurance of quantum coherence due to particle indistinguishability in noisy quantum networks,” Quant. Inf. 4, 45 (2018). . Y. Gilead, M. Verbin, and Y. Silberberg, “Ensemble-averaged quantum correlations between path-entangled photons undergoing Anderson localization,” Phys. Rev. Lett. 115(13), 133602 (2015). [Crossref] [PubMed] . G. Di Giuseppe, L. Martin, A. Perez-Leija, R. Keil, F. Dreisow, S. Nolte, A. Szameit, A. F. Abouraddy, D. N. Christodoulides, and B. E. A. Saleh, “Einstein-Podolsky-Rosen spatial entanglement in ordered and anderson photonic lattices,” Phys. Rev. Lett. 110(15), 150503 (2013). [Crossref] [PubMed] . M. Lebugle, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Nolte, and A. Szameit, “Experimental observation of N00N state Bloch oscillations,” Nat. Commun. 6(1), 8273 (2015). [Crossref] [PubMed] . N. Liu, “Propagation of light waves in Thue–Morse dielectric multilayers,” Phys. Rev. B Condens. Matter 55(6), 3543–3547 (1997). [Crossref] . M. Dulea, M. Johansson, and R. Riklund, “Localization of electrons and electromagnetic waves in a deterministic aperiodic system,” Phys. Rev. B Condens. Matter 45(1), 105–114 (1992). [Crossref] [PubMed] . 2018 (2). 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, and X.-M. Jin, “Experimental two-dimensional quantum walk on a photonic chip,” Sci. Adv. 4(5), t3174 (2018). [PubMed] A. Perez-Leija, D. Guzmán-Silva, R. D. J. León-Montiel, M. Gräfe, M. Heinrich, H. Moya-Cessa, K. Busch, and A. Szameit, “Endurance of quantum coherence due to particle indistinguishability in noisy quantum networks,” Quant. Inf. 4, 45 (2018). 2017 (1). N. Lo Gullo, C. V. Ambarish, T. Busch, L. Dell’Anna, and C. M. Chandrashekar, “Dynamics and energy spectra of aperiodic discrete-time quantum walks,” Phys. Rev. E 96(1-1), 012111 (2017). [Crossref] [PubMed] 2016 (4). M. Gräfe, R. Heilmann, M. Lebugle, D. Guzman-Silva, A. Perez-Leija, and A. Szameit, “Integrated photonic quantum walks,” J. Opt. 18(10), 103002 (2016). [Crossref] M. Boguslawski, N. M. Lucic, F. Diebel, D. V. Timotijevic, C. Denz, and D. J. Savic, “Light localization in optically induced deterministic aperiodic Fibonacci lattices,” Optica 3(7), 711–717 (2016). [Crossref] M. Leonetti, S. Karbasi, A. Mafi, E. DelRe, and C. Conti, “Secure information transport by transverse localization of light,” Sci. Rep. 6(1), 29918 (2016). [Crossref] [PubMed] A. Montanaro, “Quantum algorithms: an overview, ” Quant. Inf. 2, 15023 (2016). 2015 (4). Y. Gilead, M. Verbin, and Y. Silberberg, “Ensemble-averaged quantum correlations between path-entangled photons undergoing Anderson localization,” Phys. Rev. Lett. 115(13), 133602 (2015). [Crossref] [PubMed] N. M. Lucic, D. M. J. Savic, A. Piper, D. Ž. Grujic, J. M. Vasiljevic, D. V. Pantelic, B. M. Jelenkovic, and D. V. Timotijevic, “Light propagation in quasi-periodic Fibonacci waveguide arrays,” J. Opt. Soc. Am. B 32(7), 1510–1513 (2015). [Crossref] M. Lebugle, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Nolte, and A. Szameit, “Experimental observation of N00N state Bloch oscillations,” Nat. Commun. 6(1), 8273 (2015). [Crossref] [PubMed] C. M. Chandrashekar and Th. Busch, “Localized quantum walks as secured quantum memory,” Europhys. Lett. 110(1), 10005 (2015). [Crossref] 2013 (6). G. Di Giuseppe, L. Martin, A. Perez-Leija, R. Keil, F. Dreisow, S. Nolte, A. Szameit, A. F. Abouraddy, D. N. Christodoulides, and B. E. A. Saleh, “Einstein-Podolsky-Rosen spatial entanglement in ordered and anderson photonic lattices,” Phys. Rev. Lett. 110(15), 150503 (2013). [Crossref] [PubMed] J. C. F. Matthews, K. Poulios, J. D. A. Meinecke, A. Politi, A. Peruzzo, N. Ismail, K. Wörhoff, M. G. Thompson, and J. L. O’Brien, “Observing fermionic statistics with photons in arbitrary processes,” Sci. Rep. 3(1), 1539 (2013), doi:. [Crossref] [PubMed] M. Segev, Y. Silberberg, and D. N. Christodoulides, “Anderson localization of light,” Nat. Photonics 7(3), 197–204 (2013). [Crossref] A. M. Childs, D. Gosset, and Z. Webb, “Universal computation by multiparticle quantum walk,” Science 339(6121), 791–794 (2013). [Crossref] [PubMed] J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson sampling on a photonic chip,” Science 339(6121), 798–801 (2013). [Crossref] [PubMed] A. Crespi, R. Osellame, R. Ramponi, V. Giovannetti, R. Fazio, L. Sansoni, F. De Nicola, F. Sciarrino, and P. Mataloni, “Anderson localization of entangled photons in an integrated quantum walk,” Nat. Photonics 7(4), 322–328 (2013). [Crossref] 2012 (2). L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, “Two-particle bosonic-fermionic quantum walk via integrated photonics,” Phys. Rev. Lett. 108(1), 010502 (2012). [Crossref] [PubMed] S. E. Venegas-Andraca, “Quantum walks: a comprehensive review,” Quantum Inform. Process. 11(5), 1015–1106 (2012). [Crossref] 2011 (3). L. Levi, M. Rechtsman, B. Freedman, T. Schwartz, O. Manela, and M. Segev, “Disorder-enhanced transport in photonic quasicrystals,” Science 332(6037), 1541–1544 (2011). [Crossref] [PubMed] J. Owens, M. A. Broome, D. N. Biggerstaff, M. E. Goggin, A. Fedrizzi, T. Linjordet, M. Ams, G. D. Marshall, J. Twamley, M. J. Withford, and A. G. White, “Two-photon quantum walks in an elliptical direct-write waveguide array,” New J. Phys. 13(7), 075003 (2011). [Crossref] L. Martin, G. Di Giuseppe, A. Perez-Leija, R. Keil, F. Dreisow, M. Heinrich, S. Nolte, A. Szameit, A. F. Abouraddy, D. N. Christodoulides, and B. E. A. Saleh, “Anderson localization in optical waveguide arrays with off-diagonal coupling disorder,” Opt. Express 19(14), 13636–13646 (2011). [Crossref] [PubMed] 2010 (3). N. B. Lovett, S. Cooper, M. Everitt, M. Trevers, and V. Kendon, “Universal quantum computation using the discrete-time quantum walk,” Phys. Rev. A 81(4), 042330 (2010). [Crossref] A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. OBrien, “Quantum walks of correlated photons,” Science 329(5998), 1500–1503 (2010). [Crossref] [PubMed] D. T. Nguyen, R. Norwood, and N. Peyghambarian, “Multiple spectral window mirrors based on Fibonacci chains of dielectric layers,” Opt. Commun. 283(21), 4199–4202 (2010). [Crossref] 2009 (1). Y. Bromberg, Y. Lahini, R. Morandotti, and Y. Silberberg, “Quantum and classical correlations in waveguide lattices,” Phys. Rev. Lett. 102(25), 253904 (2009). [Crossref] [PubMed] 2008 (3). Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in one-dimensional disordered photonic lattices,” Phys. Rev. Lett. 100(1), 013906 (2008). [Crossref] [PubMed] H. B. Perets, Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, and Y. Silberberg, “Realization of quantum walks with negligible decoherence in waveguide lattices,” Phys. Rev. Lett. 100(17), 170506 (2008). [Crossref] [PubMed] J. Hendrickson, B. C. Richards, J. Sweet, G. Khitrova, A. N. Poddubny, E. L. Ivchenko, M. Wegener, and H. M. Gibbs, “Excitonic polaritons in Fibonacci quasicrystals,” Opt. Express 16(20), 15382–15387 (2008). [Crossref] [PubMed] 2007 (2). D. T. Nguyen, A. Chavez-Pirson, S. Jiang, and N. Peyghambarian, “A Novel approach of modeling cladding-pumped highly Er–Yb co-doped fiber amplifiers,” IEEE J. Quantum Electron. 43(11), 1018–1027 (2007). [Crossref] P. K. Pathak and G. S. Agrawal, “Quantum random walk of two photons in separable and entangled states,” Phys. Rev. A 75(3), 032351 (2007). [Crossref] 2006 (1). A. Ledermann, L. Cademartiri, M. Hermatschweiler, C. Toninelli, G. A. Ozin, D. S. Wiersma, M. Wegener, and G. von Freymann, “Three-dimensional silicon inverse photonic quasicrystals for infrared wavelengths,” Nat. Mater. 5(12), 942–945 (2006). [Crossref] [PubMed] 2005 (1). B. Do, M. L. Stohler, S. Balasubramanian, D. S. Elliott, C. Eash, E. Fischbach, M. A. Fischbach, A. Mills, and B. Zwickl, “Experimental realization of a quantum quincunx by use of linear optical elements,” J. Opt. Soc. Am. B 22(2), 499–504 (2005). [Crossref] 2003 (1). A. Ambainis, “Quantum walks and their algorithmic applications,” Int. J. Quant. Inf. 1(4), 507–518 (2003). [Crossref] 1997 (1). N. Liu, “Propagation of light waves in Thue–Morse dielectric multilayers,” Phys. Rev. B Condens. Matter 55(6), 3543–3547 (1997). [Crossref] 1994 (1). W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, “Localization of light waves in Fibonacci dielectric multilayers,” Phys. Rev. Lett. 72(5), 633–636 (1994). [Crossref] [PubMed] 1992 (1). M. Dulea, M. Johansson, and R. Riklund, “Localization of electrons and electromagnetic waves in a deterministic aperiodic system,” Phys. Rev. B Condens. Matter 45(1), 105–114 (1992). [Crossref] [PubMed] 1987 (1). M. Kohmoto, B. Sutherland, and K. Iguchi, “Localization of optics: Quasiperiodic media,” Phys. Rev. Lett. 58(23), 2436–2438 (1987). [Crossref] [PubMed] 1984 (1). D. Levine and P. J. Steinhardt, “Quasicrystals: A new class of ordered structures,” Phys. Rev. Lett. 53(26), 2477–2480 (1984). [Crossref] 1958 (1). P. W. Anderson, “Absence of diffusion in certain random lattices,” Phys. Rev. 109(5), 1492–1505 (1958). [Crossref] Abouraddy, A. F.. G. Di Giuseppe, L. Martin, A. Perez-Leija, R. Keil, F. Dreisow, S. Nolte, A. Szameit, A. F. Abouraddy, D. N. Christodoulides, and B. E. A. Saleh, “Einstein-Podolsky-Rosen spatial entanglement in ordered and anderson photonic lattices,” Phys. Rev. Lett. 110(15), 150503 (2013). [Crossref] [PubMed] L. Martin, G. Di Giuseppe, A. Perez-Leija, R. Keil, F. Dreisow, M. Heinrich, S. Nolte, A. Szameit, A. F. Abouraddy, D. N. Christodoulides, and B. E. A. Saleh, “Anderson localization in optical waveguide arrays with off-diagonal coupling disorder,” Opt. Express 19(14), 13636–13646 (2011). [Crossref] [PubMed] Agrawal, G. S.. P. K. Pathak and G. S. Agrawal, “Quantum random walk of two photons in separable and entangled states,” Phys. Rev. A 75(3), 032351 (2007). [Crossref] Akbulut, M.. V. Demir, M. Akbulut, D. T. Nguyen, Y. Kaneda, M. Neifeld, and N. Peyghambarian, “Injection-locked, single frequency, multi-core Yb-doped phosphate fiber laser,” Sci. Rep. (to be published). Ambainis, A.. A. Ambainis, “Quantum walks and their algorithmic applications,” Int. J. Quant. Inf. 1(4), 507–518 (2003). [Crossref] Ambarish, C. V.. N. Lo Gullo, C. V. Ambarish, T. Busch, L. Dell’Anna, and C. M. Chandrashekar, “Dynamics and energy spectra of aperiodic discrete-time quantum walks,” Phys. Rev. E 96(1-1), 012111 (2017). [Crossref] [PubMed] Ams, M.. J. Owens, M. A. Broome, D. N. Biggerstaff, M. E. Goggin, A. Fedrizzi, T. Linjordet, M. Ams, G. D. Marshall, J. Twamley, M. J. Withford, and A. G. White, “Two-photon quantum walks in an elliptical direct-write waveguide array,” New J. Phys. 13(7), 075003 (2011). [Crossref] Anderson, P. W.. P. W. Anderson, “Absence of diffusion in certain random lattices,” Phys. Rev. 109(5), 1492–1505 (1958). [Crossref] Avidan, A.. Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in one-dimensional disordered photonic lattices,” Phys. Rev. Lett. 100(1), 013906 (2008). [Crossref] [PubMed] Balasubramanian, S.. B. Do, M. L. Stohler, S. Balasubramanian, D. S. Elliott, C. Eash, E. Fischbach, M. A. Fischbach, A. Mills, and B. Zwickl, “Experimental realization of a quantum quincunx by use of linear optical elements,” J. Opt. Soc. Am. B 22(2), 499–504 (2005). [Crossref] Barbieri, M.. J. B. Spring, B. J. Metcalf, P. C. Humphreys, W. S. Kolthammer, X.-M. Jin, M. Barbieri, A. Datta, N. Thomas-Peter, N. K. Langford, D. Kundys, J. C. Gates, B. J. Smith, P. G. R. Smith, and I. A. Walmsley, “Boson sampling on a photonic chip,” Science 339(6121), 798–801 (2013). [Crossref] [PubMed] Biggerstaff, D. N.. J. Owens, M. A. Broome, D. N. Biggerstaff, M. E. Goggin, A. Fedrizzi, T. Linjordet, M. Ams, G. D. Marshall, J. Twamley, M. J. Withford, and A. G. White, “Two-photon quantum walks in an elliptical direct-write waveguide array,” New J. Phys. 13(7), 075003 (2011). [Crossref] Boguslawski, M.. M. Boguslawski, N. M. Lucic, F. Diebel, D. V. Timotijevic, C. Denz, and D. J. Savic, “Light localization in optically induced deterministic aperiodic Fibonacci lattices,” Optica 3(7), 711–717 (2016). [Crossref] Bromberg, Y.. A. Peruzzo, M. Lobino, J. C. F. Matthews, N. Matsuda, A. Politi, K. Poulios, X.-Q. Zhou, Y. Lahini, N. Ismail, K. Wörhoff, Y. Bromberg, Y. Silberberg, M. G. Thompson, and J. L. OBrien, “Quantum walks of correlated photons,” Science 329(5998), 1500–1503 (2010). [Crossref] [PubMed] Y. Bromberg, Y. Lahini, R. Morandotti, and Y. Silberberg, “Quantum and classical correlations in waveguide lattices,” Phys. Rev. Lett. 102(25), 253904 (2009). [Crossref] [PubMed] Broome, M. A.. J. Owens, M. A. Broome, D. N. Biggerstaff, M. E. Goggin, A. Fedrizzi, T. Linjordet, M. Ams, G. D. Marshall, J. Twamley, M. J. Withford, and A. G. White, “Two-photon quantum walks in an elliptical direct-write waveguide array,” New J. Phys. 13(7), 075003 (2011). [Crossref] Busch, K.. A. Perez-Leija, D. Guzmán-Silva, R. D. J. León-Montiel, M. Gräfe, M. Heinrich, H. Moya-Cessa, K. Busch, and A. Szameit, “Endurance of quantum coherence due to particle indistinguishability in noisy quantum networks,” Quant. Inf. 4, 45 (2018). Busch, T.. N. Lo Gullo, C. V. Ambarish, T. Busch, L. Dell’Anna, and C. M. Chandrashekar, “Dynamics and energy spectra of aperiodic discrete-time quantum walks,” Phys. Rev. E 96(1-1), 012111 (2017). [Crossref] [PubMed] Busch, Th.. C. M. Chandrashekar and Th. Busch, “Localized quantum walks as secured quantum memory,” Europhys. Lett. 110(1), 10005 (2015). [Crossref] Cademartiri, L.. A. Ledermann, L. Cademartiri, M. Hermatschweiler, C. Toninelli, G. A. Ozin, D. S. Wiersma, M. Wegener, and G. von Freymann, “Three-dimensional silicon inverse photonic quasicrystals for infrared wavelengths,” Nat. 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