Simulating Correlations with Computers Modeling and Simulation

0545587 - ÚFCH JH 2022 RIV DE eng M - Monography Chapter
Veis, Libor
Quantum Chemistry on Quantum Computers.
Simulating Correlations with Computers Modeling and Simulation. Jülich: Verlag des Forschungszentrum Jülich, 2021 - (Pavarini, E.; Koch, E.). ISBN 978-3-95806-529-1
Institutional support: RVO:61388955
Keywords : quantum chemistry * quantum computers * theoretical chemistry
OECD category: Physical chemistry
https://www.cond-mat.de/events/correl21/manuscripts/veis.pdf

An exact simulation of quantum systems, including those in quantum chemistry, on a classical
computer is computationally hard. The problem lies in the dimensionality of the Hilbert space
needed for the description of a studied system that in fact grows exponentially with the size of
this system, which is illustrated in Fig. 1. No matter if we simulate the dynamics or calculate
some static property, e.g. the energy, this limitation is always present. Richard Feynman came
up with an alternative to the classical simulation [1]. His idea was to convert the aforementioned
drawback of quantum systems into their benefit. He suggested to map the Hilbert space of a
studied quantum system on another one (both of them being exponentially large) and thus to
efficiently simulate one quantum system on another one (i.e. on a quantum computer).
Permanent Link: http://hdl.handle.net/11104/0322266