We argue that on its face, entanglement theory satisfies laws equivalent to
thermodynamics if the theory can be made reversible by adding certain bound
entangled states as a free resource during entanglement manipulation. Subject
to plausible assumptions, we prove that this is not the case in general, and
discuss the implications of this for the thermodynamics of entanglement.Comment: 4 pages, 1 figure, Revtex4; to appear in Phys. Rev. Let