{
  "aviso": "speedup_declarado es lo que declara la fuente citada, NO una medición de Rosetta. Lo que Rosetta midió va en evidencia_rosetta, y para la mayoría del catálogo está vacío.",
  "procedencia": {
    "fuente": "Quantum Algorithm Zoo",
    "fuente_url": "https://quantumalgorithmzoo.org/",
    "instantanea_sha256": "dee7e76b5f19096ed329c88714744b93babf7b7d0296eb97e357b2582d16b75e",
    "generado_at": "2026-08-09"
  },
  "id": "solving-nonlinear-differential-equations",
  "nombre": "Solving Nonlinear Differential Equations",
  "categoria": "Optimization, Numerics, and Machine Learning",
  "categoria_id": "ONML",
  "problema": "Resolver ecuaciones diferenciales no lineales, con supuestos fuertes sobre cuan no lineales pueden ser.",
  "speedup_declarado": "Superpolynomial",
  "declarado_por": "Quantum Algorithm Zoo",
  "fuente_url": "https://quantumalgorithmzoo.org/#ONML",
  "implementaciones": [],
  "referencias": [
    {
      "n": 411,
      "cita": "Sarah K. Leyton and Tobias J. Osborne Quantum algorithm to solve nonlinear differential equations arXiv:0812.4423",
      "url": "https://arxiv.org/abs/0812.4423"
    },
    {
      "n": 417,
      "cita": "Alexander Engle, Graeme Smith, and Scott E. Parker A quantum algorithm for the Vlasov equation arXiv:1907.09418",
      "url": "https://arxiv.org/abs/1907.09418"
    },
    {
      "n": 426,
      "cita": "J-P Liu, H. Kolden, H. Krovi, N. Loureiro, K. Trivisa, and A. M. Childs Efficient quantum algorithm for dissipative nonlinear differential equations arXiv:2011.03185",
      "url": "https://arxiv.org/abs/2011.03185"
    },
    {
      "n": 427,
      "cita": "S. Lloyd, G. De Palma, C. Gokler, B. Kiani, Z-W Liu, M. Marvian, F. Tennie, and T. Palmer Quantum algorithm for nonlinear differential equations arXiv:2011.06571",
      "url": "https://arxiv.org/abs/2011.06571"
    },
    {
      "n": 434,
      "cita": "Dong An, Di Fang, Stephen Jordan, Jin-Peng Liu, Guang Hao Low, and Jiasu Wang Efficient quantum algorithm for nonlinear reaction-diffusion equations and energy estimation arXiv:2205.01141 , 2022.",
      "url": "https://arxiv.org/abs/2205.01141"
    },
    {
      "n": 441,
      "cita": "Hari Krovi Improved quantum algorithms for linear and nonlinear differential equations Quantum 7:913, 2023. [ arXiv:2202.01054 ]",
      "url": "https://arxiv.org/abs/2202.01054"
    },
    {
      "n": 443,
      "cita": "Dong An, Noah Linden, Jin-Peng Liu, Ashley Montanaro, Changpeng Shao, and Jiasu Wang Quantum-accelerated multilevel Monte Carlo methods for stochastic differential equations in mathematical finance Quantum 5:481, 2021. [ arXiv:2012.06283 ]",
      "url": "https://arxiv.org/abs/2012.06283"
    },
    {
      "n": 444,
      "cita": "G. Xu, A. J. Daley, P. Givi, and R. D. Somma Turbulent mixing simulation via a quantum algorithm AIAA Journal 56(2):687-699, 2018.",
      "url": null
    },
    {
      "n": 445,
      "cita": "G. Xu, A. J. Daley, P. Givi, and R. D. Somma Quantum algorithm for the computation of the reactant conversion rate in homogeneous turbulence Combustion Theory and Modelling 23(6):1090-1104, 2018.",
      "url": null
    },
    {
      "n": 447,
      "cita": "K. Kaneko, K. Miyamoto, N. Takeda, and K. Yoshino Quantum speedup of Monte Carlo integration in the directino of dimension and its application to finance Quantum Information Processing 20:185, 2021. [ arXiv:2011.02165 ]",
      "url": "https://arxiv.org/abs/2011.02165"
    },
    {
      "n": 448,
      "cita": "P. Rebentrost, B. Gupt, and T. R. Bromley Quantum computational finance: Monte Carlo pricing of financial derivatives Physical Review A 98(2):022321, 2018. [ arXiv:1805.00109 ]",
      "url": "https://arxiv.org/abs/1805.00109"
    },
    {
      "n": 449,
      "cita": "Javier Gonzalez-Conde, Ángel Rodríguez-Rozas, Enrique Solano, and Mikel Sanz Efficient Hamiltonian simulation for solving option price dynamics Physical Review Research 5:043220, 2024. [ arXiv:2101.04023 ]",
      "url": "https://arxiv.org/abs/2101.04023"
    },
    {
      "n": 450,
      "cita": "Adam Bouland, Wim van Dam, Hamed Joorati, Iordanis Kerenidis, Anupam Prakash Prospects and challenges of quantum finance arXiv:2011.06492 , 2020.",
      "url": "https://arxiv.org/abs/2011.06492"
    }
  ],
  "n_referencias": 13,
  "remisiones": [],
  "evidencia_rosetta": {
    "medido": false,
    "lectura": "Rosetta no tiene ninguna corrida sellada sobre este algoritmo. Que esté catalogado no significa que lo hayamos medido ni que lo ofrezcamos."
  }
}