  We define a traced pseudomonoid as a pseudomonoid in a monoidal bicategory
equipped with extra structure, giving a new characterisation of Cauchy complete
traced monoidal categories as algebraic structures in Prof, the monoidal
bicategory of profunctors. This enables reasoning about the trace using the
graphical calculus for monoidal bicategories, which we illustrate in detail. We
apply our techniques to study traced &#8727;-autonomous categories, proving a
new equivalence result between the left &#8855;-trace and the right
&#8523;-trace, and describing a new condition under which traced
&#8727;-autonomous categories become autonomous.
