For broader coverage of this topic, see Quantum simulator.
Hamiltonian simulation (also referred to as quantum simulation) is a problem in quantum information science that attempts to find the computational complexity and quantum algorithms needed for simulating quantum systems. Hamiltonian simulation is a problem that demands algorithms which implement the evolution of a quantum state efficiently. The Hamiltonian simulation problem was proposed by Richard Feynman in 1982, where he proposed a quantum computer as a possible solution since the simulation of general Hamiltonians seem to grow exponentially with respect to the system size.[1]
^Richard P Feynman (1982). "Simulating physics with computers". International Journal of Theoretical Physics. 21 (6): 467–488. Bibcode:1982IJTP...21..467F. doi:10.1007/BF02650179. S2CID 124545445. Retrieved 2019-05-04.
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Hamiltoniansimulation (also referred to as quantum simulation) is a problem in quantum information science that attempts to find the computational complexity...
{\displaystyle |b\rangle =\sum _{i\mathop {=} 1}^{N}b_{i}|i\rangle .} Next, Hamiltoniansimulation techniques are used to apply the unitary operator e i A t {\displaystyle...
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