Abstract
The numerical simulation of quantum systems plays a crucial role in the understanding of quantum phenomena. However classical computation does not allow to achieve this task, in particular with the growing of size and complexity of the quantum system. In 1982 Feynman pointed out that the problem of simulating the full time evolution of arbitrary quantum systems on a classical computer is intractable [1]: the states of a quantum system lie in a vector space whose dimension grows exponentially with the size of the system.
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Sansoni, L. (2014). Introduction to Quantum Simulation. In: Integrated Devices for Quantum Information with Polarization Encoded Qubits. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-07103-9_8
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