
Using quantum computers to model and study complex physical phenomena like molecular interactions or cosmic events.Quantum simulation of physical systems uses quantum computers to model and study complex phenomena that are intractable for classical computers. This includes molecular interactions, plasma dynamics, and even aspects of cosmology. The core idea is that a quantum system can naturally represent another quantum system, allowing researchers to simulate behavior that would otherwise require exponential classical resources. This matters because it offers a path to understanding fundamental physics, chemistry, and biology at a level of detail that is currently impossible.
The concept was proposed by Richard Feynman in 1982, who noted that quantum systems are best simulated by other quantum systems. Early experimental implementations began in the late 1990s and have advanced significantly with the development of programmable quantum devices in the 2010s.
A quantum simulator encodes the problem's parameters into the state of a controllable quantum system, such as trapped ions, superconducting qubits, or ultracold atoms. By manipulating these qubits according to the target Hamiltonian, the system evolves in a way that mimics the real physical process. Measurements on the simulator then reveal properties of the simulated system, such as energy spectra, phase transitions, or dynamical behavior.
It is used to study high-temperature superconductivity, protein folding, and plasma behavior, with potential applications in drug design and materials science.
Quantum simulators have been used to observe the 'long-term memory' of plasma, a phenomenon that classical simulations struggle to reproduce.
| b_N | variable | quantity of interest for system size N |
| N | variable | system size |
| k | variable | scaling exponent |
| p | variable | canonical momentum — momentum kilogram metre per second |
| q | variable | canonical coordinate — position metre |
| n | variable | quantum number (integer) — quantum number |
| h | constant | fundamental constant relating energy to frequency — planck constant = 6.62607015e-34 joule second |
| ∮ | operator | integral over one full period of the motion — closed line integral |









