Security trade-offs have previously been established for one-way bit commitment. We study this trade-off in two superselection settings. We show that for an 'abelian' superselection rule (exemplified by particle conservation) the standard trade-off between sealing and binding properties still holds. For the non-abelian case (exemplified by angular momentum conservation) the security trade-off can be more subtle, which we illustrate by showing that if the bit commitment is forced to be ancilla-free, an asymptotically secure quantum bit commitment is possible.
DiVincenzo, Smolin and Terhal took a different approach REF , showing that if the bit commitment is forced to be ancilla-free, a type of asymptotic security is still possible.
Security Trade-offs in Ancilla-Free Quantum Bit Commitment in the Presence of Superselection Rules
New Journal of Physics 6, 80 (2004)
Physics