Security Trade-offs in Ancilla-Free Quantum Bit Commitment in the Presence of Superselection Rules

Physics – Quantum Physics

Scientific paper

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7 pages Latex; v2 has 8 pages and additional references and clarifications, this paper is to appear in the New Journal of Phys

Scientific paper

10.1088/1367-2630/6/1/080

Security trade-offs have been established for one-way bit commitment in quant-ph/0106019. 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.

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