nLab quantum simulation



Quantum systems

quantum logic

quantum physics

quantum probability theoryobservables and states

quantum information

quantum computation


quantum algorithms:

quantum sensing

quantum communication



By “quantum simulation” one broadly means the simulation of quantum systems. The term is used in two rather different ways:

  1. Without further qualification, “quantum simulation” typically refers to the simulation of (complicated) quantum systems appearing in nature, such as (large) molecules, by other (more controllable) quantum systems, notably by quantum computers (cf. quantum chemistry).

  2. Classical quantum simulation refers to the simulation of quantum computers themselves by classical computers, such as for testing (verifying) quantum circuit-designs and more generally for testing quantum programs and quantum computing-architectures.


Quantum simulation by quantum systems

General discussion:

See also:

On quantum simulation of (lattice) quantum field theory:

specifically of scattering amplitudes of bound states:

  • Matteo Turco, Gonçalo M. Quinta, João Seixas, Yasser Omar, Towards Quantum Simulation of Bound States Scattering [arXiv:2305.07692]

Quantum simulation by classical systems

  • Yongshan Ding, Frederic T. Chong, Classical Simulation of Quantum Computation, in: Quantum Computer Systems, Synthesis Lectures on Computer Architecture. Springer (2020) [doi:10.1007/978-3-031-01765-0_9]

  • Ya-Qian Zhao, Ren-Gang Li, Jin-Zhe Jiang, Chen Li, Hong-Zhen Li, En-Dong Wang, Wei-Feng Gong, Xin Zhang, Zhi-Qiang Wei, Simulation of Quantum Computing on Classical Supercomputers, Phys. Rev. A 104 032603 (2021) [arXiv:2010.14962, doi:10.1103/PhysRevA.104.032603]

  • Robert Willie, Classical simulation of quantum circuits (2022) [pdf]

  • Xiaosi Xu, Simon Benjamin, Jinzhao Sun, Xiao Yuan, Pan Zhang, A Herculean task: Classical simulation of quantum computers [arXiv:2302.08880]

  • Kieran Young, Marcus Scese, Ali Ebnenasir, Simulating Quantum Computations on Classical Machines: A Survey [arXiv:2311.16505]

See also:

Last revised on November 29, 2023 at 08:32:13. See the history of this page for a list of all contributions to it.