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We derive lower limits on the inefficiency and classical communication costsof dilution between two-term bipartite pure states that are partiallyentangled. We first calculate explicit relations between the allowable errorand classical communication costs of entanglement dilution using the protocolof Lo-Popescu and then consider a two-stage dilution from singlets with thisprotocol followed by some unknown protocol for conversion between partiallyentangled states. Applying the lower bounds on classical communication andinefficiency of Harrow-Lo and Hayden-Winter to this two-stage protocol, wederive bounds for the unknown protocol. In addition we derive analogous (butlooser) bounds for general pure states.Comment: Revised version: 8 pages, 3 figures, two-column. Have added bounds  for general pure states, corrected typos and updated format to PRA versio

Inefficiency and classical communication bounds for conversion between partially entangled pure bipartite states