Recent work has shown how to use the laws of quantum mechanics to keep classical and quantum bits secret in a number of different circumstances. Among the examples are private quantum channels, quantum secret sharing and quantum data hiding. In this paper we show that a method for keeping two classical bits hidden in any such scenario can be used to construct a method for keeping one quantum bit hidden, and vice-versa. In the realm of quantum data hiding, this allows us to construct bipartite and multipartite hiding schemes for qubits from the previously known constructions for hiding bits.@en

We give a detailed proof of the conjecture that the asymptotic entanglement cost of preparing a state ρ is equal to limn→∞ E f (ρ⊗n)/n where E f is the entanglement of formation.@en