-
基于量子力学的叠加和纠缠等性质, 量子计算具备超越经典计算机的强大计算能力. 光子作为一种高效信息载体, 具有传输速度快、操控性高及相干时间长的优点, 是实现量子计算的一个理想物理平台. 集成光量子技术, 使得我们在微型结构上便能够稳定地实现光量子态的产生、处理和探测. 近年来, 随着新兴的集成光量子技术的快速发展, 集成光量子计算的实验复杂度和规模在不断提高, 并成功模拟和解决了复杂的物理和计算问题. 为此, 本综述总结了近年来集成光量子计算的技术进展, 包括各类集成光量子实验平台, 并讨论了基于集成光量子平台实现的量子行走实验范例. 最后, 我们亦简述了基于光量子行走而实现的量子算法和量子模拟的方案.
Quantum computing, based on the inherent superposition and entanglement properties of quantum states, can break through the limits of classical computing power. However, under the present technical conditions, the number of qubits that can be manipulated is still limited. In addition, the preparation of high-precision quantum gates and additional quantum error correction systems requires more auxiliary bits, which leads to extra cost. Therefore, it seems to be a long-term goal to realize a universal fault-tolerant quantum computer. The development of analog quantum computing is a transition path that can be used to simulate many-body physics problems. Quantum walk, as the quantum counterpart of classical random walks, is a research hotspot in analog quantum computing. Owing to the unique quantum superposition characteristics, quantum walk exhibits the ballistic transport properties of outward diffusion, so quantum walk provides acceleration in computing power for various algorithms. Based on quantum walk, different computing models are derived to deal with practical physical problems in different fields, such as biology, physics, economics, and computer science. A large number of technical routes are devoted to the experiments on realizing quantum walk, including optical fiber networks, superconducting systems, nuclear magnetic resonance systems, and trapped ion atom systems. Among these routes, photons are considered as the reliable information carriers in the experiments on quantum walking due to their controllability, long coherence time. and fast speed. Therefore, in this review, we focus on different quantum walk theories and experimental implementations in optical versions, such as traditional optical platforms, optical fiber platforms, and integrated optical quantum platform. In recent years, the rapid development of integrated optical quantum platforms has driven the experiments on quantum walk to move towards the stage of integration and miniaturization, and at the same time, the experimental scale and the number of qubits have gradually increased. To this end, we summarize the technological progress of integrated optical quantum computing, including various integrated optical quantum experimental platforms and their applications. Secondly, we specifically discuss the experiment on quantum walk and practical applications based on integrated optical quantum platforms. Finally, we briefly describe other quantum algorithms and corresponding experimental implementations. These quantum computing schemes provide computational speedups for specific physical problems. In the future, with the further development of integrated optical quantum technology, along with the increase in the number of controllable qubits and the realization of the supporting quantum error correction system, a larger-scale many-body physical system can be constructed to further expand these algorithms and move towards the field of optical quantum computing, a new stage. -
Keywords:
- integrated optical quantum computing /
- quantum walks /
- quantum algorithms /
- quantum advantage
[1] Moore G E 1998 Proceedings of the IEEE 86 82
Google Scholar
[2] Feynman R P 1982 International Journal of Theoretical Physics 21 467
Google Scholar
[3] [4] Grover L K 1997 Phys. Rev. Lett. 79 325
Google Scholar
[5] Aaronson S, Gottesman D 2004 Physical Review A 70 052328
Google Scholar
[6] Albash T, Lidar D A 2018 Rev. Mod. Phys. 90 015002
Google Scholar
[7] Raussendorf R, Briegel H J 2001 Phys. Rev. Lett. 86 5188
Google Scholar
[8] Sarma S, Freedman M, Nayak C 2015 npj Quantum Inf. 1 15001
Google Scholar
[9] Liu Z H, Sun K, Pachos J K, Yang M, Meng Y, Liao Y W, Li Q, Wang J F, Luo Z Y, He Y F, Huang D Y, Ding G R, Xu J S, Han Y J, Li C F, Guo G C 2021 PRX Quantum 2 030323
Google Scholar
[10] DiVinzenzo D P 2001 Quant. Inf. Comp. 1 1
Google Scholar
[11] Zhong H S, Wang H, Deng Y H, et al. 2020 Science 370 1460
Google Scholar
[12] Arute F, Arya K, Babbush R, et al. 2019 Nature 574 505
Google Scholar
[13] Preskill J 2018 Quantum 2 79
Google Scholar
[14] Ladd T D, Jelezko F, Laflamme R, Nakamura Y, Monroe C, O’Brien J L 2010 Nature 464 45
Google Scholar
[15] Gisin N, Ribordy G, Tittel W, Zbinden H 2002 Rev. Mod. Phys. 74 145
Google Scholar
[16] Kok P, Munro W J, Nemoto K, Ralph T C, Dowling J P, Milburn G J 2007 Rev. Mod. Phys. 79 797
Google Scholar
[17] O’Brien J L, Pryde G J, White A G, Ralph T C, Branning D 2003 Nature 426 264
Google Scholar
[18] Pearson K 1905 Nature 72 294
Google Scholar
[19] Aharonov Y, Davidovich L, Zagury N 1993 Phys. Rev. A 48 1687
Google Scholar
[20] Farhi E, Gutmann S 1998 Phys. Rev. A 58 915
Google Scholar
[21] Childs A M, Cleve R, Deotto E, Farhi E, Gutmann S, Spielman D A 2003 Proceedings of the Thirty-Fifth Annual ACM Symposium on Theory of Computing, San Diego, USA, June 9–11, 2003 p59
[22] De Nicola F, Sansoni L, Crespi A, Ramponi R, Osellame R, Giovannetti V, Fazio R, Mataloni P, Sciarrino F 2014 Phys. Rev. A 89 032322
Google Scholar
[23] Peruzzo A, Lobino M, Matthews J C, et al. 2010 Science 329 1500
Google Scholar
[24] Schreiber A, Cassemiro K N, Potoček V, Gábris A, Mosley P J, Andersson E, Jex I, Silberhorn Ch 2010 Phys. Rev. Lett. 104 050502
Google Scholar
[25] Defienne H, Barbieri M, Walmsley I A, Smith B J, Gigan S 2016 Sci. Adv. 2 e1501054
Google Scholar
[26] Yan Z G, Zhang Y R, Gong M, Wu Y L, Zheng Y, Li S, Wang C, Liang F, Lin J, Xu Y, Guo C, Sun L, Peng C Z, Xia K Y, Deng H, Rong H, You J Q, Nori F, Fan H, Zhu X B, Pan J W 2019 Science 364 753
Google Scholar
[27] Du J F, Li H, Xu X D, Shi M J, Wu J H, Zhou X Y, Han R D 2003 Phys. Rev. A 67 042316
Google Scholar
[28] Karski M, Förster L, Choi J M, Steffen A, Alt W, Meschede D, Widera A 2009 Science 325 174
Google Scholar
[29] Schmitz H, Matjeschk R, Schneider C, Glueckert J, Enderlein M, Huber T, Schaetz T 2009 Phys. Rev. Lett. 103 090504
Google Scholar
[30] Roldán E, Soriano J C 2005 J. Mod. Opt. 52 2649
Google Scholar
[31] Schreiber A, Gábris A, Rohde P P, Laiho K, Štefaňák M, Potoček V, Hamilton C, Jex I, Silberhorn C 2012 Science 336 55
Google Scholar
[32] Politi A, Cryan M J, Rarity J G, Yu S, O'brien J L 2008 Science 320 646
Google Scholar
[33] Matthews J C, Politi A, Stefanov A, O'brien J L 2009 Nat. Photonics 3 346
Google Scholar
[34] Shadbolt P J, Verde M R, Peruzzo A, Politi A, Laing A, Lobino M, Matthews J C F, Thompson M G, O'Brien J L 2012 Nat. Photonics 6 45
Google Scholar
[35] Smith B J, Kundys D, Thomas-Peter N, Smith P G R, Walmsley I A 2009 Opt. Express 17 13516
Google Scholar
[36] Corrielli G, Crespi A, Geremia R, Ramponi R, Sansoni L, Santinelli A, Mataloni P, Sciarrino F, Osellame R 2014 Nat. Commun. 5 4249
Google Scholar
[37] Sansoni L, Sciarrino F, Vallone G, Mataloni P, Crespi A, Ramponi R, Osellame R 2010 Phys. Rev. Lett. 105 200503
Google Scholar
[38] Crespi A, Ramponi R, Osellame R, Sansoni L, Bongioanni I, Sciarrino F, Vallone G, Mataloni P 2011 Nat. Commun. 2 566
Google Scholar
[39] Carolan J, Harrold C, Sparrow C, et al. 2015 Science 349 711
Google Scholar
[40] Liou J C 2016 Comput. Mater. Sci. 122 30
Google Scholar
[41] Kawachi M 1990 Opt. Quantum Electron. 22 391
Google Scholar
[42] Szameit A, Nolte S 2010 J. Phys. B: At. Mol. Opt. Phys. 43 163001
Google Scholar
[43] Kundys D O, Gates J C, Dasgupta S, Gawith C B E, Smith P G R 2009 IEEE Photonics Technol. Lett. 21 947
Google Scholar
[44] Xiong C, Pernice W, Ryu K K, Schuck C, Fong K Y, Palacios T, Tang H X 2011 Opt. Express 19 10462
Google Scholar
[45] Harris N C, Grassani D, Simbula A, Pant M, Galli M, Baehr-Jones T, Hochberg M, Englund D, Bajoni D, Galland C 2014 Phys. Rev. X 4 041047
Google Scholar
[46] Sun J, Timurdogan E, Yaacobi A, Hosseini E S, Watts M R 2013 Nature 493 195
Google Scholar
[47] Davis K M, Miura K, Sugimoto N, Hirao K 1996 Opt. Lett. 21 1729
Google Scholar
[48] Osellame R, Cerullo G, Ramponi R 2012 Femtosecond Laser Micromachining: Photonic and Microfluidic Devices in Transparent Materials (Berlin: Springer)
[49] Jia Y, Wang L, Chen F 2021 Appl. Phys. Rev. 8 011307
Google Scholar
[50] Wei Q H, Dai H L, Shan H R, Li H G, Cao Z Q, Chen X F 2021 Phys. Rev. B 104 235308
Google Scholar
[51] Zhou J, Liang Y, Liu Z, Chu W, Zhang H, Yin D, Fang Z, Wu R, Zhang J, Chen W, Wang Z, Zhou Y, Wang M, Cheng Y 2021 Laser Photonics Rev. 15 2100030
Google Scholar
[52] Kwek L C, Cao L, Luo W, Wang Y X, Sun S H, Wang X B, Liu A Q 2021 AAPPS Bull. 31 15
Google Scholar
[53] Perets H B, Lahini Y, Pozzi F, Sorel M, Morandotti R, Silberberg Y 2008 Phys. Rev. Lett. 100 170506
Google Scholar
[54] Harris N C, Steinbrecher G R, Prabhu M, Lahini Y, Mower J, Bunandar D, Chen C, Wong F N C, Baehr-Jones B, Hochberg M, Lloyd S, Englund D 2017 Nat. Photonics 11 447
Google Scholar
[55] Owens J O, Broome M A, Biggerstaff D N, Goggin M E, Fedrizzi A, Linjordet T, Ams M, Marshall G D, Twamley J, Withford M J, White A G 2011 New J. Phys. 13 075003
Google Scholar
[56] Sansoni L, Sciarrino F, Vallone G, Mataloni P, Crespi A, Ramponi R, Osellame R 2012 Phys. Rev. Lett. 108 010502
Google Scholar
[57] Poulios K, Keil R, Fry D, Meinecke J D, Matthews J C, Politi A, Lobino M, Gräfe M, Heinrich M, Nolte S, Szameit A, O’Brien J L 2014 Phys. Rev. Lett. 112 143604
Google Scholar
[58] Tang H, Lin X F, Feng Z, Chen J Y, Gao J, Sun K, Wang C Y, Lai P C, Xu X Y, Wang Y, Qiao L F, Yang A L, Jin X M 2018 Sci. Adv. 4 aat3174
Google Scholar
[59] Jiao Z Q, Gao J, Zhou W H, Wang X W, Ren R J, Xu X Y, Qiao L F, Wang Y, Jin X M 2021 Optica 8 1129
Google Scholar
[60] Ehrhardt M, Keil R, Maczewsky L J, Dittel C, Heinrich M, Szameit A 2021 Sci. Adv. 7 eabc5266
Google Scholar
[61] Childs A M, Goldstone J 2004 Phys. Rev. A 70 022314
Google Scholar
[62] Ambainis A 2003 Int. J. Quantum Inf. 1 507
Google Scholar
[63] Shenvi N, Kempe J, Whaley K B 2003 Phys. Rev. A 67 052307
Google Scholar
[64] Franco C D, Gettrick M M, Busch T 2011 Phys. Rev. Lett. 106 080502
Google Scholar
[65] Kendon V M, Tamon C 2011 J. Comput. Theor. Nanosci. 8 422
Google Scholar
[66] Mohseni M, Rebentrost P, Lloyd S, Guzik A A 2008 J. Chem. Phys. 129 174106
Google Scholar
[67] Gamble J K, Friesen M, Zhou D, Joynt R, Coppersmith S N 2010 Phys. Rev. A. 81 052313
Google Scholar
[68] Childs A M 2009 Phys. Rev. Lett. 102 180501
Google Scholar
[69] Childs A M, Gosset D, Webb Z 2013 Science 339 791
Google Scholar
[70] Childs A M, Farhi E, Gutmann S 2002 Quantum Inf Process 1 35
Google Scholar
[71] Tang H, Di Franco C, Shi Z Y, He T S, Feng Z, Gao J, Sun K, Li Z M, Jiao Z Q, Wang T Y, Kim M S, Jin X M 2018 Nat. Photonics 12 754
Google Scholar
[72] Shi Z Y, Tang H, Feng Z, Wang Y, Li Z M, Gao J, Chang Y J, Wang T Y, Dou J P, Zhang Z Y, Jiao Z Q, Zhou W H, Jin X M 2020 Optica 7 613
Google Scholar
[73] Wang Y, Cui Z W, Lu Y H, Zhang X M, Gao J, Chang Y J, Yung M H, Jin X M 2020 Phys. Rev. Lett. 125 160502
Google Scholar
[74] Aaronson S, Arkhipov A 2011 Proceedings of the Forty-third Annual ACM Symposium on Theory of Computing California, San Jose, USA, June 6–8, 2011 p333
[75] Bentivegna M, Spagnolo N, Vitelli C, et al. 2015 Sci. Adv. 1 e1400255
Google Scholar
[76] Paesani S, Ding Y, Santagati R, Chakhmakhchyan L, Vigliar C, Rottwitt K, Oxenløwe L K, Wang J W, Thompson M G, Laing A 2019 Nat. Phys. 15 925
Google Scholar
[77] Zhou W H, Gao J, Jiao Z Q, Wang X W, Ren R J, Pang X L, Qiao L F, Zhang C N, Yang T H, Jin X M 2022 Appl. Phys. Rev. 9 031408
Google Scholar
[78] Zhong H S, Deng Y H, Qin J, Wang H, Chen M C, Peng L C, Luo Y H, Wu D, Gong S Q, Su H, Hu Y, Hu P, Yang X Y, Zhang W J, Li H, Li Y X, Jiang X, Gan L, Yang G W, You L X, Wang Z, Li L, Liu N L, Renema J J, Lu C Y, Pan J W 2021 Phys. Rev. Lett. 127 180502
Google Scholar
[79] Gao J, Wang X W, Zhou W H, Jiao Z Q, Ren R J, Fu Y X, Qiao L F, Xu X Y, Zhang C N, Pang X L, Li H, Wang Y, Jin X M 2022 Chip 1 100007
Google Scholar
[80] Madsen L S, Laudenbach F, Askarani M F, Rortais F, Vincent T, Bulmer J F, Miatto F M, Neuhaus L, Helt L G, Collins M J, Lita A E, Gerrits T, Nam S W, Vaidya V D, Menotti M, Dhand I, Vernon Z, Quesada N, Lavoie J 2022 Nature 606 75
Google Scholar
[81] Plotnik Y, Rechtsman M C, Song D, Heinrich M, Zeuner J M, Nolte S, Lumer Y, Malkova N, Xu J J, Szameit A, Chen Z G, Segev M 2014 Nat. Mater. 13 57
Google Scholar
[82] Rechtsman M C, Zeuner J M, Plotnik Y, Lumer Y, Podolsky D, Dreisow F, Nolte S, Segev M, Szameit A 2013 Nature 496 196
Google Scholar
[83] Wang Y, Lu Y H, Mei F, Gao J, Li Z M, Tang H, Zhu S L, Jia S, Jin X M 2019 Phys. Rev. Lett. 122 193903
Google Scholar
[84] Wang Y, Pang X L, Lu Y H, Gao J, Chang Y J, Qiao L F, Jiao Z Q, Tang H, Jin X M 2019 Optica 6 955
Google Scholar
[85] Wang Y, Lu Y H, Gao J, Chang Y J, Ren R J, Jiao Z Q, Zhang Z Y, Jin X M 2022 Chip 1 100003
Google Scholar
[86] Blanco-Redondo A, Bell B, Oren D, Eggleton B J, Segev M 2018 Science 362 568
Google Scholar
[87] Barik S, Karasahin A, Flower C, Cai T, Miyake H, DeGottardi W, Hafezi M, Waks E 2018 Science 359 666
Google Scholar
[88] Tambasco J L, Corrielli G, Chapman R J, Crespi A, Zilberberg O, Osellame R, Peruzzo A 2018 Sci. Adv. 4 eaat3187
Google Scholar
[89] Wang M, Doyle C, Bell B, Collins M J, Magi E, Eggleton B J, Segev M, Blanco-Redondo A 2019 Nanophotonics 8 1327
Google Scholar
[90] Mittal S, Orre V V, Goldschmidt E A, Hafezi M 2021 Nat. Photonics 15 542
Google Scholar
-
图 2 不同的集成光量子平台 (a)硅基平台, 图片来自文献[40]; (b)硅基二氧化硅平台, 图片来自文献[41]; (c)飞秒激光直写平台, 图片来自文献[42]; (d) UV直写平台, 图片来自文献[43]
Fig. 2. Different integrated optical quantum platforms: (a) Silicon-on-insulator platform, the picture is reproduced from the Ref. [40]; (b) silica-on-silicon platform, the picture is reproduced from the Ref. [41]; (c) femtosecond laser direct writing platform, the picture is reproduced from the Ref. [42]; (d) UV direct writing platform, the picture is reproduced from the Ref. [43].
图 3 不同波导结构图 (a) 一维波导阵列, 图来自文献[53]; (b) 椭圆型波导阵列, 图来自文献[55]; (c) 三维波导结构, 图来自文献[56]; (d) “十字”波导阵列, 图来自文献[57].
Fig. 3. Different waveguide structures: (a) One-dimensional waveguide array, the picture is reproduced from the Ref. [53]; (b) elliptical waveguide array, the picture is reproduced from the Ref. [55]; (c) three-dimensional waveguide structure, the picture is reproduced from the Ref. [56]; (d) “cross” waveguide array, the picture is reproduced from the Ref. [57].
-
[1] Moore G E 1998 Proceedings of the IEEE 86 82
Google Scholar
[2] Feynman R P 1982 International Journal of Theoretical Physics 21 467
Google Scholar
[3] [4] Grover L K 1997 Phys. Rev. Lett. 79 325
Google Scholar
[5] Aaronson S, Gottesman D 2004 Physical Review A 70 052328
Google Scholar
[6] Albash T, Lidar D A 2018 Rev. Mod. Phys. 90 015002
Google Scholar
[7] Raussendorf R, Briegel H J 2001 Phys. Rev. Lett. 86 5188
Google Scholar
[8] Sarma S, Freedman M, Nayak C 2015 npj Quantum Inf. 1 15001
Google Scholar
[9] Liu Z H, Sun K, Pachos J K, Yang M, Meng Y, Liao Y W, Li Q, Wang J F, Luo Z Y, He Y F, Huang D Y, Ding G R, Xu J S, Han Y J, Li C F, Guo G C 2021 PRX Quantum 2 030323
Google Scholar
[10] DiVinzenzo D P 2001 Quant. Inf. Comp. 1 1
Google Scholar
[11] Zhong H S, Wang H, Deng Y H, et al. 2020 Science 370 1460
Google Scholar
[12] Arute F, Arya K, Babbush R, et al. 2019 Nature 574 505
Google Scholar
[13] Preskill J 2018 Quantum 2 79
Google Scholar
[14] Ladd T D, Jelezko F, Laflamme R, Nakamura Y, Monroe C, O’Brien J L 2010 Nature 464 45
Google Scholar
[15] Gisin N, Ribordy G, Tittel W, Zbinden H 2002 Rev. Mod. Phys. 74 145
Google Scholar
[16] Kok P, Munro W J, Nemoto K, Ralph T C, Dowling J P, Milburn G J 2007 Rev. Mod. Phys. 79 797
Google Scholar
[17] O’Brien J L, Pryde G J, White A G, Ralph T C, Branning D 2003 Nature 426 264
Google Scholar
[18] Pearson K 1905 Nature 72 294
Google Scholar
[19] Aharonov Y, Davidovich L, Zagury N 1993 Phys. Rev. A 48 1687
Google Scholar
[20] Farhi E, Gutmann S 1998 Phys. Rev. A 58 915
Google Scholar
[21] Childs A M, Cleve R, Deotto E, Farhi E, Gutmann S, Spielman D A 2003 Proceedings of the Thirty-Fifth Annual ACM Symposium on Theory of Computing, San Diego, USA, June 9–11, 2003 p59
[22] De Nicola F, Sansoni L, Crespi A, Ramponi R, Osellame R, Giovannetti V, Fazio R, Mataloni P, Sciarrino F 2014 Phys. Rev. A 89 032322
Google Scholar
[23] Peruzzo A, Lobino M, Matthews J C, et al. 2010 Science 329 1500
Google Scholar
[24] Schreiber A, Cassemiro K N, Potoček V, Gábris A, Mosley P J, Andersson E, Jex I, Silberhorn Ch 2010 Phys. Rev. Lett. 104 050502
Google Scholar
[25] Defienne H, Barbieri M, Walmsley I A, Smith B J, Gigan S 2016 Sci. Adv. 2 e1501054
Google Scholar
[26] Yan Z G, Zhang Y R, Gong M, Wu Y L, Zheng Y, Li S, Wang C, Liang F, Lin J, Xu Y, Guo C, Sun L, Peng C Z, Xia K Y, Deng H, Rong H, You J Q, Nori F, Fan H, Zhu X B, Pan J W 2019 Science 364 753
Google Scholar
[27] Du J F, Li H, Xu X D, Shi M J, Wu J H, Zhou X Y, Han R D 2003 Phys. Rev. A 67 042316
Google Scholar
[28] Karski M, Förster L, Choi J M, Steffen A, Alt W, Meschede D, Widera A 2009 Science 325 174
Google Scholar
[29] Schmitz H, Matjeschk R, Schneider C, Glueckert J, Enderlein M, Huber T, Schaetz T 2009 Phys. Rev. Lett. 103 090504
Google Scholar
[30] Roldán E, Soriano J C 2005 J. Mod. Opt. 52 2649
Google Scholar
[31] Schreiber A, Gábris A, Rohde P P, Laiho K, Štefaňák M, Potoček V, Hamilton C, Jex I, Silberhorn C 2012 Science 336 55
Google Scholar
[32] Politi A, Cryan M J, Rarity J G, Yu S, O'brien J L 2008 Science 320 646
Google Scholar
[33] Matthews J C, Politi A, Stefanov A, O'brien J L 2009 Nat. Photonics 3 346
Google Scholar
[34] Shadbolt P J, Verde M R, Peruzzo A, Politi A, Laing A, Lobino M, Matthews J C F, Thompson M G, O'Brien J L 2012 Nat. Photonics 6 45
Google Scholar
[35] Smith B J, Kundys D, Thomas-Peter N, Smith P G R, Walmsley I A 2009 Opt. Express 17 13516
Google Scholar
[36] Corrielli G, Crespi A, Geremia R, Ramponi R, Sansoni L, Santinelli A, Mataloni P, Sciarrino F, Osellame R 2014 Nat. Commun. 5 4249
Google Scholar
[37] Sansoni L, Sciarrino F, Vallone G, Mataloni P, Crespi A, Ramponi R, Osellame R 2010 Phys. Rev. Lett. 105 200503
Google Scholar
[38] Crespi A, Ramponi R, Osellame R, Sansoni L, Bongioanni I, Sciarrino F, Vallone G, Mataloni P 2011 Nat. Commun. 2 566
Google Scholar
[39] Carolan J, Harrold C, Sparrow C, et al. 2015 Science 349 711
Google Scholar
[40] Liou J C 2016 Comput. Mater. Sci. 122 30
Google Scholar
[41] Kawachi M 1990 Opt. Quantum Electron. 22 391
Google Scholar
[42] Szameit A, Nolte S 2010 J. Phys. B: At. Mol. Opt. Phys. 43 163001
Google Scholar
[43] Kundys D O, Gates J C, Dasgupta S, Gawith C B E, Smith P G R 2009 IEEE Photonics Technol. Lett. 21 947
Google Scholar
[44] Xiong C, Pernice W, Ryu K K, Schuck C, Fong K Y, Palacios T, Tang H X 2011 Opt. Express 19 10462
Google Scholar
[45] Harris N C, Grassani D, Simbula A, Pant M, Galli M, Baehr-Jones T, Hochberg M, Englund D, Bajoni D, Galland C 2014 Phys. Rev. X 4 041047
Google Scholar
[46] Sun J, Timurdogan E, Yaacobi A, Hosseini E S, Watts M R 2013 Nature 493 195
Google Scholar
[47] Davis K M, Miura K, Sugimoto N, Hirao K 1996 Opt. Lett. 21 1729
Google Scholar
[48] Osellame R, Cerullo G, Ramponi R 2012 Femtosecond Laser Micromachining: Photonic and Microfluidic Devices in Transparent Materials (Berlin: Springer)
[49] Jia Y, Wang L, Chen F 2021 Appl. Phys. Rev. 8 011307
Google Scholar
[50] Wei Q H, Dai H L, Shan H R, Li H G, Cao Z Q, Chen X F 2021 Phys. Rev. B 104 235308
Google Scholar
[51] Zhou J, Liang Y, Liu Z, Chu W, Zhang H, Yin D, Fang Z, Wu R, Zhang J, Chen W, Wang Z, Zhou Y, Wang M, Cheng Y 2021 Laser Photonics Rev. 15 2100030
Google Scholar
[52] Kwek L C, Cao L, Luo W, Wang Y X, Sun S H, Wang X B, Liu A Q 2021 AAPPS Bull. 31 15
Google Scholar
[53] Perets H B, Lahini Y, Pozzi F, Sorel M, Morandotti R, Silberberg Y 2008 Phys. Rev. Lett. 100 170506
Google Scholar
[54] Harris N C, Steinbrecher G R, Prabhu M, Lahini Y, Mower J, Bunandar D, Chen C, Wong F N C, Baehr-Jones B, Hochberg M, Lloyd S, Englund D 2017 Nat. Photonics 11 447
Google Scholar
[55] Owens J O, Broome M A, Biggerstaff D N, Goggin M E, Fedrizzi A, Linjordet T, Ams M, Marshall G D, Twamley J, Withford M J, White A G 2011 New J. Phys. 13 075003
Google Scholar
[56] Sansoni L, Sciarrino F, Vallone G, Mataloni P, Crespi A, Ramponi R, Osellame R 2012 Phys. Rev. Lett. 108 010502
Google Scholar
[57] Poulios K, Keil R, Fry D, Meinecke J D, Matthews J C, Politi A, Lobino M, Gräfe M, Heinrich M, Nolte S, Szameit A, O’Brien J L 2014 Phys. Rev. Lett. 112 143604
Google Scholar
[58] Tang H, Lin X F, Feng Z, Chen J Y, Gao J, Sun K, Wang C Y, Lai P C, Xu X Y, Wang Y, Qiao L F, Yang A L, Jin X M 2018 Sci. Adv. 4 aat3174
Google Scholar
[59] Jiao Z Q, Gao J, Zhou W H, Wang X W, Ren R J, Xu X Y, Qiao L F, Wang Y, Jin X M 2021 Optica 8 1129
Google Scholar
[60] Ehrhardt M, Keil R, Maczewsky L J, Dittel C, Heinrich M, Szameit A 2021 Sci. Adv. 7 eabc5266
Google Scholar
[61] Childs A M, Goldstone J 2004 Phys. Rev. A 70 022314
Google Scholar
[62] Ambainis A 2003 Int. J. Quantum Inf. 1 507
Google Scholar
[63] Shenvi N, Kempe J, Whaley K B 2003 Phys. Rev. A 67 052307
Google Scholar
[64] Franco C D, Gettrick M M, Busch T 2011 Phys. Rev. Lett. 106 080502
Google Scholar
[65] Kendon V M, Tamon C 2011 J. Comput. Theor. Nanosci. 8 422
Google Scholar
[66] Mohseni M, Rebentrost P, Lloyd S, Guzik A A 2008 J. Chem. Phys. 129 174106
Google Scholar
[67] Gamble J K, Friesen M, Zhou D, Joynt R, Coppersmith S N 2010 Phys. Rev. A. 81 052313
Google Scholar
[68] Childs A M 2009 Phys. Rev. Lett. 102 180501
Google Scholar
[69] Childs A M, Gosset D, Webb Z 2013 Science 339 791
Google Scholar
[70] Childs A M, Farhi E, Gutmann S 2002 Quantum Inf Process 1 35
Google Scholar
[71] Tang H, Di Franco C, Shi Z Y, He T S, Feng Z, Gao J, Sun K, Li Z M, Jiao Z Q, Wang T Y, Kim M S, Jin X M 2018 Nat. Photonics 12 754
Google Scholar
[72] Shi Z Y, Tang H, Feng Z, Wang Y, Li Z M, Gao J, Chang Y J, Wang T Y, Dou J P, Zhang Z Y, Jiao Z Q, Zhou W H, Jin X M 2020 Optica 7 613
Google Scholar
[73] Wang Y, Cui Z W, Lu Y H, Zhang X M, Gao J, Chang Y J, Yung M H, Jin X M 2020 Phys. Rev. Lett. 125 160502
Google Scholar
[74] Aaronson S, Arkhipov A 2011 Proceedings of the Forty-third Annual ACM Symposium on Theory of Computing California, San Jose, USA, June 6–8, 2011 p333
[75] Bentivegna M, Spagnolo N, Vitelli C, et al. 2015 Sci. Adv. 1 e1400255
Google Scholar
[76] Paesani S, Ding Y, Santagati R, Chakhmakhchyan L, Vigliar C, Rottwitt K, Oxenløwe L K, Wang J W, Thompson M G, Laing A 2019 Nat. Phys. 15 925
Google Scholar
[77] Zhou W H, Gao J, Jiao Z Q, Wang X W, Ren R J, Pang X L, Qiao L F, Zhang C N, Yang T H, Jin X M 2022 Appl. Phys. Rev. 9 031408
Google Scholar
[78] Zhong H S, Deng Y H, Qin J, Wang H, Chen M C, Peng L C, Luo Y H, Wu D, Gong S Q, Su H, Hu Y, Hu P, Yang X Y, Zhang W J, Li H, Li Y X, Jiang X, Gan L, Yang G W, You L X, Wang Z, Li L, Liu N L, Renema J J, Lu C Y, Pan J W 2021 Phys. Rev. Lett. 127 180502
Google Scholar
[79] Gao J, Wang X W, Zhou W H, Jiao Z Q, Ren R J, Fu Y X, Qiao L F, Xu X Y, Zhang C N, Pang X L, Li H, Wang Y, Jin X M 2022 Chip 1 100007
Google Scholar
[80] Madsen L S, Laudenbach F, Askarani M F, Rortais F, Vincent T, Bulmer J F, Miatto F M, Neuhaus L, Helt L G, Collins M J, Lita A E, Gerrits T, Nam S W, Vaidya V D, Menotti M, Dhand I, Vernon Z, Quesada N, Lavoie J 2022 Nature 606 75
Google Scholar
[81] Plotnik Y, Rechtsman M C, Song D, Heinrich M, Zeuner J M, Nolte S, Lumer Y, Malkova N, Xu J J, Szameit A, Chen Z G, Segev M 2014 Nat. Mater. 13 57
Google Scholar
[82] Rechtsman M C, Zeuner J M, Plotnik Y, Lumer Y, Podolsky D, Dreisow F, Nolte S, Segev M, Szameit A 2013 Nature 496 196
Google Scholar
[83] Wang Y, Lu Y H, Mei F, Gao J, Li Z M, Tang H, Zhu S L, Jia S, Jin X M 2019 Phys. Rev. Lett. 122 193903
Google Scholar
[84] Wang Y, Pang X L, Lu Y H, Gao J, Chang Y J, Qiao L F, Jiao Z Q, Tang H, Jin X M 2019 Optica 6 955
Google Scholar
[85] Wang Y, Lu Y H, Gao J, Chang Y J, Ren R J, Jiao Z Q, Zhang Z Y, Jin X M 2022 Chip 1 100003
Google Scholar
[86] Blanco-Redondo A, Bell B, Oren D, Eggleton B J, Segev M 2018 Science 362 568
Google Scholar
[87] Barik S, Karasahin A, Flower C, Cai T, Miyake H, DeGottardi W, Hafezi M, Waks E 2018 Science 359 666
Google Scholar
[88] Tambasco J L, Corrielli G, Chapman R J, Crespi A, Zilberberg O, Osellame R, Peruzzo A 2018 Sci. Adv. 4 eaat3187
Google Scholar
[89] Wang M, Doyle C, Bell B, Collins M J, Magi E, Eggleton B J, Segev M, Blanco-Redondo A 2019 Nanophotonics 8 1327
Google Scholar
[90] Mittal S, Orre V V, Goldschmidt E A, Hafezi M 2021 Nat. Photonics 15 542
Google Scholar
下载:
计量
- 文章访问数: 7750
- PDF下载量: 429
- 被引次数: 0
