  The quantum baker's map is the quantization of a simple classically chaotic
system, and has many generic features that have been studied over the last few
years. While there exists a semiclassical theory of this map, a more rigorous
study of the same revealed some unexpected features which indicated that
correction terms of the order of log(h) had to be included in the periodic
orbit sum. Such singular semiclassical behaviour was also found in the simplest
traces of the quantum map. In this note we study the quantum mechanics of a
baker's map which is obtained by reflecting the classical map about its edges,
in an effort to understand and circumvent these anomalies. This leads to a real
quantum map with traces that follow the usual Gutzwiller-Tabor like
semiclassical formulae. We develop the relevant semiclassical periodic orbit
sum for this map which is closely related to that of the usual baker's map,
with the important difference that the propagators leading to this sum have no
anomalous traces.
