蒋砚晨,王铁军

• 1:北京邮电大学理学院

摘要(Abstract)：

相干光计算是一种基于量子光学的非冯诺依曼框架的专用计算方法，是有望在后摩尔时代突破计算性能与功耗瓶颈的热门计算技术。相干光计算的核心思想是根据最小增益原理，通过从振荡阈值以下逐渐增加简并光学参量振荡器中泵浦光的强度，使得振荡器中最低能量的基态模式被激发，从而完成一种类似物理退火的过程。这种退火过程可被用于求解组合优化问题，并具备计算速度快、求解质量高和功耗低等优势。相干光计算机也被称为相干伊辛机(Coherent Ising Machines),可用于交通流分配、工业资源调度、金融投资组合等问题的快速高质量求解，是量子计算硬件的重要研究方向。本文作为“先进算力技术”专题的第二篇，介绍了相干光计算和相干伊辛机的基本原理、历史发展以及实验系统。本文不仅可以作为未来计算技术领域的一般性了解，本文附录给出的PPT课件也可以作为大学物理等课程中“量子物理”相关篇章的有益补充。

关键词(KeyWords)： 量子压缩;相干伊辛机;组合优化问题

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金项目(62071064);; 北京邮电大学研究生教育教学改革项目(2023Y033)

作者(Author): 蒋砚晨,王铁军

参考文献(References)：

• [1] 张三慧.大学物理学：热学、光学、量子物理[M].3版.北京：清华大学出版社.2009.
• [2] 张智明.量子光学[M].5版.北京：科学出版社.2018.
• [3] LOUDON R,KNIGHT P L.Squeezed light[J].Journal of Modern Optics,1987,34(6-7):709-759.
• [4] BREITENBACH G,SCHILLER S,MLYNEK J.Measurement of the quantum states of squeezed light[J].Nature,1997,387(6632):471-475.
• [5] NAVARRETE-BENLLOCH C,ROLDáN E,de VALCáRCEL G J.Noncritically squeezed light via spontaneous rotational symmetry breaking[J].Physical Review Letters,2008,100(20):203601.
• [6] YAMAMOTO Y,AIHARA K,LELEU T,et al.Coherent Ising machines—Optical neural networks operating at the quantum limit[J].NPJ Quantum Information,2017,3(1):1-15.
• [7] MARANDI A,WANG Z,TAKATA K,et al.Network of time-multiplexed optical parametric oscillators as a coherent Ising machine[J].Nature Photonics,2014,8(12):937-942.
• [8] TAKATA K,MARANDI A,HAMERLY R,et al.A 16-bit coherent Ising machine for one-dimensional ring and cubic graph problems[J].Scientific Reports,2016,6(1):1-7.
• [9] INAGAKI T,INABA K,HAMERLY R,et al.Large-scale Ising spin network based on degenerate optical parametric oscillators[J].Nature Photonics,2016,10(6):415-419.
• [10] MCMAHON P L,MARANDI A,HARIBARA Y,et al.A fully programmable 100-spin coherent Ising machine with all-to-all connections[J].Science,2016,354(6312):614-617.
• [11] INAGAKI T,HARIBARA Y,IGARASHI K,et al.A coherent Ising machine for 2000-node optimization problems[J].Science,2016,354(6312):603-606.
• [12] 路博.基于光学参量振荡的智能光计算研究[D].北京：北京师范大学，2023.
• [13] LELEU T,YAMAMOTO Y,UTSUNOMIYA S,et al.Combinatorial optimization using dynamical phase transitions in driven-dissipative systems[J].Physical Review E,2017,95(2):022118.
• [14] ISING E.Beitrag zur Theorie des Ferromagnetismus[J].European Physical Journal A,1925,31(1):253-258.
• [15] MARUO D,UTSUNOMIYA S,YAMAMOTO Y.Truncated Wigner theory of coherent Ising machines based on degenerate optical parametric oscillator network[J].Physica Scripta,2016,91(8):083010.
• [16] B?HM F,VERSCHAFFELT G,Van der SANDE G.A poor man's coherent Ising machine based on opto-electronic feedback systems for solving optimization problems[J].Nature Communications,2019,10(1):3538.
• [17] YOSHIMURA C,YAMAOKA M,HAYASHI M,et al.Uncertain behaviours of integrated circuits improve computational performance[J].Scientific Reports,2015,5(1):16213.
• [18] YAMAOKA M,YOSHIMURA C,HAYASHI M,et al.A 20k-spin Ising chip to solve combinatorial optimization problems with CMOS annealing[J].IEEE Journal of Solid-State Circuits,2015,51(1):303-309.
• [19] PIERANGELI D,MARCUCCI G,CONTI C.[J].Physical Review Letters,2019,122(21):213902.
• [20] CEN Q,HAO T,DING H,et al.Microwave photonic ising machine[J].arXiv preprint arXiv:2011.00064,2020.
• [21] WANG T,ROYCHOWDHURY J.OIM:Oscillator-based Ising machines for solving combinatorial optimisation problems[C]//Unconventional Computation and Natural Computation:18th International Conference,UCNC 2019,Tokyo,Japan,June 3-7,2019,Proceedings 18.Springer International Publishing,2019:232-256.
• [22] LOUISELL W H,YARIV A,SIEGMAN A E.Quantum fluctuations and noise in parametric processes.I[J].Physical Review:1961,124(6):1646.
• [23] NABORS C D,YANG S T,DAY T,et al.Coherence properties of a doubly resonant monolithic optical parametric oscillator[J].JOSA B,1990,7(5):815-820.
• [24] MARANDI A,LEINDECKER N C,PERVAK V,et al.Coherence properties of a broadband femtosecond mid-IR optical parametric oscillator operating at degeneracy[J].Optics Express,2012,20(7):7255-7262.
• [25] MARANDI A,LEINDECKER N C,VODOPYANOV K L,et al.All-optical quantum random bit generation from intrinsically binary phase of parametric oscillators[J].Optics Express,2012,20(17):19322-19330.
• [26] UTSUNOMIYA S,TAKATA K,YAMAMOTO Y.Mapping of Ising models onto injection-locked laser systems[J].Optics Express,2011,19(19):18091-18108.
• [27] BABAEIAN M,NGUYEN D T,DEMIR V,et al.A single shot coherent Ising machine based on a network of injection-locked multicore fiber lasers[J].Nature Communications,2019,10(1):3516.
• [28] WANG Z,MARANDI A,WEN K,et al.Coherent Ising machine based on degenerate optical parametric oscillators[J].Physical Review A,2013,88(6):063853.
• [29] HONJO T,SONOBE T,INABA K,et al.100,000-spin coherent Ising machine[J].Science Advances,2021,7(40):eabh0952.
• [30] WEN J,WANG Z,HUANG Z,et al.Optical experimental solution for the multiway number partitioning problem and its application to computing power scheduling[J].Science China:Physics,Mechanics & Astronomy,2023,66(9):290313.