  Readout errors are a significant source of noise for near term intermediate
scale quantum computers. Mismeasuring a qubit as a 1 when it should be 0 occurs
much less often than mismeasuring a qubit as a 0 when it should have been 1. We
make the simple observation that one can improve the readout fidelity of
quantum computers by applying targeted X gates prior to performing a
measurement. These X gates are placed so that the expected number of qubits in
the 1 state is minimized. Classical post processing can undo the effect of the
X gates so that the expectation value of any observable is unchanged. We show
that the statistical uncertainty following readout error corrections is smaller
when using readout rebalancing. The statistical advantage is circuit- and
computer-dependent, and is demonstrated for the $W$ state, a Grover search, and
for a Gaussian state. The benefit in statistical precision is most pronounced
(and nearly a factor of two in some cases) when states with many qubits in the
excited state have high probability.
