  In quantum repeater protocols, measurements are performed in multiple relay
points. Classical communications are used to convey the measurement results. It
is important to improve the way of conveying the measurement results so that
EPR pairs are not affected by noises during classical communications. One
solution is execution in the blind mode. In the blind mode, correction
operations of multiple ES operations and multiple EPP operations are performed
in a lump after EPR pairs are shared between the sender and the receiver. That
is, the following quantum operations are performed without performing
correction operations of the former quantum operations. The protocol in the
conventional blind mode uses concatenated CSS codes. Therefore, the number of
qubits gets large as the communication distance gets long. This paper proposes
quantum repeater protocols which can be executed in the blind mode and can be
constructed by using CSS codes of single encoding. This result shows that
posterior processing can reduce the size of encoded states in some cases.
Additionally, the results of this paper show that posterior processing can
improve performance of error corrections in some cases. The proposed protocol
with single encoding can correct large errors by setting some assumptions. In
contrast, blind mode with single encoding can deal with small errors if
propositions in this paper are not used. The key ideas in posterior processing
are decomposition of errors and computations for comparing EPR pairs of
different length.
