  We present the results of a 40 ks Chandra observation of the quiescent
stellar mass black hole GS 1354-64. A total of 266 net counts are detected at
the position of this system. The resulting spectrum is found to be consistent
with the spectra of previously observed quiescent black holes, i.e., a
power-law with a photon index of \Gamma ~ 2. The inferred luminosity in the 0.5
-- 10 keV band is found to lie in the range 0.5 - 6.5 x 10^{34} erg/s, where
the uncertainty in the distance is the dominant source of this large luminosity
range. Nonetheless, this luminosity is over an order of magnitude greater than
that expected from the known distribution of quiescent stellar mass black hole
luminosities and makes GS 1354-64 the only known stellar mass black hole to
disagree with this relation. This observation suggests the possibility of
significant accretion persisting in the quiescent state.
