  Much of the focus of modern condensed matter physics concerns control of
quantum phases with examples that include flat band superconductivity in
graphene bilayers, the interplay of magnetism and ferroelectricity, and
induction of topological transitions by strain. Here we report the first
observation of a reproducible and strong enhancement of the superconducting
critical temperature, $T_c$, in strontium titanate (SrTiO3) obtained through
careful strain engineering of interacting superconducting phase and the polar
quantum phase (quantum paraelectric). Our results show a nearly 50% increase in
$T_c$ with indications that the increase could become several hundred percent.
We have thus discovered a means to control the interaction of two quantum
phases through application of strain, which may be important for quantum
information science. Further, our work elucidates the enigmatic pseudogap-like
and preformed electron pairs phenomena in low dimensional strontium titanate as
potentially resulting from the local strain of jammed tetragonal domains.
