9

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.

Sanchayan Dutta
  • 17,497
  • 7
  • 48
  • 110
jman
  • 443
  • 2
  • 8

1 Answers1

8

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.

agaitaarino
  • 3,827
  • 2
  • 12
  • 42
Andrew O
  • 1,749
  • 1
  • 15
  • 21
  • Thanks this resource looks great. What I was interested is under the first sub-section of the "Approximation and Simulation Algorithms". – jman Mar 29 '18 at 20:44