  A unitary dynamical state-locking (UNIDYSLOCK) process is a unitary process
that can transform two orthogonal states to two non-orthogonal states. Its
inverse process, i.e., the QUANSDAM process could realize an exponential QC
speedup in solving an unstructured search problem in the quantum-computing (QC)
speedup theory (X. Miao, arXiv:1105.3573 [quant-ph] (2011)). In this paper the
principle of how a UNIDYSLOCK process works is described on the basis of the QC
speedup theory. A UNIDYSLOCK process does not exist at all in pure quantum
mechanics. That it can change the quantum-state difference is original from the
fundamental interaction between the quantum physical laws (i.e., the unitary
quantum dynamics and the Hilbert-space symmetric structure) and the
mathematical-logical principle of the search problem. It is characteristic for
the QC speedup theory. Even if a usual quantum computational (Qc) process that
is reversible or unitary contained a UNIDYSLOCK (or QUANSDAM) process, the
contribution of the UNIDYSLOCK (or QUANSDAM) process to the QC speedup of the
usual Qc process would be secondary or negligible. Whether or not a UNIDYSLOCK
(or QUANSDAM) process can make an essential contribution to a QC speedup can
distinguish the QC speedup theory from any usual Qc theory. In the paper the QC
speedup mechanism of the HSSS quantum search process is also studied. The
search process is essentially different from a usual quantum search algorithm.
It works in both the usual Hilbert space and the math Hilbert space. Due to the
math Hilbert space a mathematical-parallel operation is characteristic for the
QC speedup theory, while a quantum-parallel operation is characteristic for the
usual Qc theory. The fundamental interaction mentioned above and the
fundamental quantum-computing resource play the main role in speeding up the
search process.
