I was wondering if there is a source (online or review article) which tabulates recent algorithms, and their complexities, used in simulating various physical systems. Something along the lines of:

Physical System 1: Quantum Field Theory (scattering)

Complexity: Polynomial in number of particles, energy, and precision

Source: Quantum Algorithms for Quantum Field Theories (Jordan, Lee & Preskill, 2011)

Physical System 2: Atomic Energy levels

And so on.

  • $\begingroup$ Possible duplicate of Are there emulators for quantum computers? $\endgroup$ Commented Mar 29, 2018 at 20:26
  • $\begingroup$ Are you particularly interested in simulation or emulation? You may wish to clarify this. $\endgroup$ Commented Mar 29, 2018 at 20:27
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    $\begingroup$ @Discretelizard According to the question, the OP (welcome to quantum computing SE by the way!) is looking for a quantum algorithm for simulating a physical system, which isn't the same as looking for something that can emulate a qc $\endgroup$
    – Mithrandir24601
    Commented Mar 29, 2018 at 20:34

1 Answer 1


I believe what you're after is NIST's Quantum Zoo, a comprehensive catalog of quantum algorithms maintained by Stephen Jordan. Its sections include:

  • Algebraic and Number Theoretic Algorithms (14 items)
  • Oracular Algorithms (34 items)
  • Approximation and Simulation Algorithms (12 items)

and for each algorithm it includes its speedup, a description and relevant references. The third category would be the answer to the present question.

  • $\begingroup$ Thanks this resource looks great. What I was interested is under the first sub-section of the "Approximation and Simulation Algorithms". $\endgroup$
    – jman
    Commented Mar 29, 2018 at 20:44

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