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As pointed out before, the variational method is only as good as the trial states that we use.
We should note that the variational approach is basically as good as the trial states we use [17, 18, 19].
We show how biases can be introduced to further reduce the number of operations necessary to construct the trial states while still fulfilling the detailed balance requirement.
It is natural to consider the uncertainty, Δe, given that Φb usually belongs to a restricted set of trial states.
The variational methods have been moderately used in QFT since the construction of realistic trial states can be a difficult task.
In Ref. [6] simple trial states have been employed to obtain the n-body wave equations in the scalar QFT by the variation method.
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Of the thousands of defendants charged in New York City, fewer than 20 have gone to trial, state officials said.
During the school financing trial, state lawyers also suggested that suburban districts paid teachers more because they required longer hours than New York City did.
However, in the second trial, state 014 only has a trap value of 377.
Another possible approach that we can employ is to expand the trial state on a Fock-space basis.
Evidence heard during the trial stated that they had sent $8,600 to the group via money transfers.
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