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What is Quantum States and Hamiltonian Dynamics about?

This document discusses how quantum simulation of time-dependent Hamiltonians relates to the concept of Hilbert space. It shows that: 1) The set of quantum states that can be generated by local time-dependent Hamiltonians in polynomial time occupies an exponentially small volume of the full Hilbert space. 2) This implies that the vast majority of states in Hilbert space are not physical, as they would require exponentially long times to produce. 3) The results demonstrate that a model allowing arbitra

Author

Toon Pillaert

Language

EN