Kilohertz quasi-periodic brightness oscillations (kHz QPOs) observed in cer
tain X-ray burst sources may represent Keplerian frequencies in the inner r
egions of the accretion disk in such systems. If this assumption is strictl
y adhered to, we show here that if the central accretor in stellar X-ray bu
rst sources is a strange star (made up of u, d and s quarks in beta equilib
rium, referred to as strange matter) then the calculated QPO frequencies ar
e reconcilable with the observed QPO frequencies (corresponding to the high
est frequency of 1.22 kHz, observed so far from the source 4U 1636-53) only
for particular values of the QCD-related parameters which describe the equ
ation of state of strange matter. We demonstrate that QPO frequencies in th
e very high range (1.9-3.1) kHz can be understood in terms of a (non-magnet
ized) strange star X-ray binary (SSXB) rather than a neutron star X-ray bin
ary (NSXB). Future discovery of such high frequency QPOs from X-ray burst s
ources will constitute a new astrophysical diagnostic for identifying solar
mass range stable strange stars in our galaxy.