The chemical evolution of nascent quark matter core in a newborn compact ne
utron star is studied in presence of a strong magnetic field. The effective
rate of strange quark production in degenerate quark matter core in presen
ce of strong magnetic fields is obtained. The investigations show that in p
resence of strong magnetic field the quark matter core becomes energeticall
y unstable and hence a first/higher order deconfinement transition to quark
matter at the centre of a compact neutron star under such circumstances is
absolutely impossible. The critical strength of magnetic field at the cent
ral core to make the system energetically unstable with respect to dense nu
clear matter is found to be similar to 4.4 X 10(13) G This is the typical s
trength at which the Landau levels for electrons are populated. The other k
ind of phase transformations at such high density and ultra strong magnetic
field environment are discussed.