  Recent studies to solve nuclear structure problems using quantum computers
rely on a quantum algorithm known as Variational Quantum Eigensolver (VQE). In
this study, we calculate the correlation energy in Helium-6 using VQE, with a
\textit{full-term} unitary-paired-coupled-cluster-doubles (UpCCD) ansatz on a
quantum computer simulator and implement a set of custom termination criteria
to shorten the optimization time. Using this setup, we test out noisy quantum
computer simulators of various coherence times and quantum errors to find the
required specification for such calculations. We also look into the
contribution of errors from the quantum computers and optimization process. We
find that the minimal specification of 5~ms coherence times and $10^{-4}$
quantum errors is required to reliably reproduce state-vector results within
8\% discrepancy. Our study indicates the possibility of performing VQE
calculations using a full-term UpCCD ansatz on a slightly noisy quantum
computer, without implementing quantum error correction.
