Reaction dynamics with qubit-efficient momentum-space mapping
arxiv(2024)
摘要
Description of quantum many-body dynamics is extremely challenging on
classical computers, as it can involve many degrees of freedom. On the other
hand, the time evolution of quantum states is a natural application for quantum
computers, which are designed to efficiently perform unitary transformations.
In this paper we study quantum algorithms for response functions, relevant for
describing different reactions governed by linear response. We consider a
qubit-efficient mapping on a lattice, which can be efficiently performed using
momentum-space basis states. We analyze the advantages and disadvantages of
this approach, focusing on the nuclear two-body system and a typical response
function relevant for electron scattering as an example. We investigate
ground-state preparation, controlled time evolution and the required
measurements. We examine circuit depth and the hardware noise level required to
interpret the signal.
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