{
  "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-linear-differential-equations",
  "nombre": "Solving Linear Differential Equations",
  "categoria": "Optimization, Numerics, and Machine Learning",
  "categoria_id": "ONML",
  "problema": "Resolver sistemas de ecuaciones diferenciales lineales.",
  "speedup_declarado": "Superpolynomial",
  "declarado_por": "Quantum Algorithm Zoo",
  "fuente_url": "https://quantumalgorithmzoo.org/#ONML",
  "implementaciones": [
    {
      "nombre": "Classiq",
      "url": "https://short.classiq.io/time_marching"
    }
  ],
  "referencias": [
    {
      "n": 104,
      "cita": "Aram W. Harrow, Avinatan Hassidim, and Seth Lloyd Quantum algorithm for solving linear systems of equations. Physical Review Letters 15(103):150502, 2009. [ arXiv:0811.3171 ]",
      "url": "http://arxiv.org/abs/0811.3171"
    },
    {
      "n": 156,
      "cita": "Dominic Berry Quantum algorithms for solving linear differential equations. J. Phys. A: Math. Theor. 47, 105301, 2014. [ arXiv:1010.2745 ].",
      "url": "http://arxiv.org/abs/1010.2745"
    },
    {
      "n": 245,
      "cita": "Dominic W. Berry, Andrew M. Childs, and Robin Kothari Hamiltonian simulation with nearly optimal dependence on all parameters arXiv:1501.01715 , 2015.",
      "url": "http://arxiv.org/abs/1501.01715"
    },
    {
      "n": 249,
      "cita": "B. D. Clader, B. C. Jacobs, and C. R. Sprouse Preconditioned quantum linear system algorithm Phys. Rev. Lett. 110:250504, 2013. [ arXiv:1301.2340 ]",
      "url": "http://arxiv.org/abs/1301.2340"
    },
    {
      "n": 296,
      "cita": "Ashley Montanaro and Sam Pallister Quantum algorithms and the finite element method arXiv:1512.05903 , 2015.",
      "url": "http://arxiv.org/abs/1512.05903"
    },
    {
      "n": 369,
      "cita": "Pedro C.S. Costa, Stephen Jordan, and Aaron Ostrander Quantum algorithm for simulating the wave equation arXiv:1711.05394 , 2017.",
      "url": "https://arxiv.org/abs/1711.05394"
    },
    {
      "n": 410,
      "cita": "Dominic W. Berry, Andrew M. Childs, Aaron Ostrander, and Guoming Wang Quantum algorithm for linear differential equations with exponentially improved dependence on precision Communications in Mathematical Physics , 356(3):1057-1081, 2017. [ arXiv:1701.03684 ]",
      "url": "https://arxiv.org/abs/1701.03684"
    },
    {
      "n": 412,
      "cita": "Y. Cao, A. Papageorgiou, I. Petras, J. Traub, and S. Kais Quantum algorithm and circuit design solving the Poisson equation New Journal of Physics 15(1):013021, 2013. [ arXiv:1207.2485 ]",
      "url": "https://arxiv.org/abs/1207.2485"
    },
    {
      "n": 413,
      "cita": "S. Wang, Z. Wang, W. Li, L. Fan, Z. Wei, and Y. Gu Quantum fast Poisson solver: the algorithm and modular circuit design arXiv:1910.09756 , 2019.",
      "url": "https://arxiv.org/abs/1910.09756"
    },
    {
      "n": 414,
      "cita": "A. Scherer, B. Valiron, S.-C. Mau, S. Alexander, E. van den Berg, and T. Chapuran Concrete resource analysis of the quantum linear system algorithm used to compute the electromagnetic scattering crossection of a 2D target Quantum Information Processing 16:60, 2017. [ arXiv:1505.06552 ]",
      "url": "https://arxiv.org/abs/1505.06552"
    },
    {
      "n": 415,
      "cita": "Juan Miguel Arrazola, Timjan Kalajdziavski, Christian Weedbrook, and Seth Lloyd Quantum algorithm for nonhomogeneous linear partial differential equations Physical Review A 100:032306, 2019. [ arXiv:1809.02622 ]",
      "url": "https://arxiv.org/abs/1809.02622"
    },
    {
      "n": 416,
      "cita": "Andrew Childs and Jin-Peng Liu Quantum spectral methods for differential equations arXiv:1901.00961",
      "url": "https://arxiv.org/abs/1901.00961"
    },
    {
      "n": 440,
      "cita": "Ryan Babbush, Dominic W. Berry, Robin Kothari, Rolando D. Somma, and Nathan Wiebe Exponential quantum speedup in simulating coupled classical oscillators Physical Review X 13:041041, 2024. [ arXiv:2303.13012 ]",
      "url": "https://arxiv.org/abs/2303.13012"
    },
    {
      "n": 442,
      "cita": "Andrew M. Childs, Jin-Peng Liu, and Aaron Ostrander High-precision quantum algorithms for partial differential equations Quantum 5:574, 2021. [ arXiv:2002.07868 ]",
      "url": "https://arxiv.org/abs/2002.07868"
    },
    {
      "n": 446,
      "cita": "Noah Linden, Ashley Montanaro, Changpeng Shao Quantum vs. classical algorithms for solving the heat equation Communications in Mathematical Physics 395:601, 2022. [ arXiv:2004.06516 ]",
      "url": "https://arxiv.org/abs/2004.06516"
    },
    {
      "n": 459,
      "cita": "Guang Hao Low and Yuan Su Quantum eigenvalue processing arXiv:2401.06240 , 2024.",
      "url": "https://arxiv.org/abs/2401.06240"
    },
    {
      "n": 512,
      "cita": "Rolando D. Somma, Robbie King, Robin Kothari, Thomas O'Brien, and Ryan Babbush Shadow Hamiltonian Simulation arXiv:2407.21775 , 2024.",
      "url": "https://arxiv.org/abs/2407.21775"
    },
    {
      "n": 513,
      "cita": "Maarten Stroeks, Daan Lenterman, Barbara Terhal, and Yaroslav Herasymenko Solving Free Fermion Problems on a Quantum Computer arXiv:2409.04550 , 2024.",
      "url": "https://arxiv.org/abs/2409.04550"
    },
    {
      "n": 514,
      "cita": "Alice Barthe, M. Cerezo, Andrew T. Sornborger, Martín Larocca, and Diego García-Martín Gate-Based Quantum Simulation of Gaussian Bosonic Circuits on Exponentially Many Modes Physical Review Letters , 134:070604, 2025. [ arXiv:2407.06290 ]",
      "url": "https://arxiv.org/abs/2407.06290"
    }
  ],
  "n_referencias": 19,
  "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."
  }
}