  We discuss some features of thermodynamics in the presence of multiple
conserved quantities. We prove a generalisation of Landauer principle
illustrating tradeoffs between the erasure costs paid in different
"currencies". We then show how the maximum entropy and complete passivity
approaches give different answers in the presence of multiple observables. We
discuss how this seems to prevent current resource theories from fully
capturing thermodynamic aspects of non-commutativity.
