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We obtain the general formula for the optimal rate at which singlets can bedistilled from any given noisy and arbitrarily correlated entanglementresource, by means of local operations and classical communication (LOCC). Ourformula, obtained by employing the quantum information spectrum method, reducesto that derived by Devetak and Winter, in the special case of an i.i.d.resource. The proofs rely on a one-shot version of the so-called "hashingbound," which in turn provides bounds on the one-shot distillable entanglementunder general LOCC.

Distilling entanglement from arbitrary resources