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Secret sharing is a cryptographic scheme to encode a secret to multipleshares being distributed to participants, so that only qualified sets ofparticipants can restore the original secret from their shares. When we encodea secret by a secret sharing scheme and distribute shares, sometimes not allparticipants are accessible, and it is desirable to distribute shares to thoseparticipants before a secret information is determined. Secret sharing schemesfor classical secrets have been known to be able to distribute some sharesbefore a given secret. Lie et al. found any pure $(k,2k-1)$-threshold secretsharing for quantum secrets can distribute some shares before a given secret.However, it is unknown whether distributing some shares before a given secretis possible with other access structures of secret sharing for quantum secrets.We propose a quantum secret sharing scheme for quantum secrets that candistribute some shares before a given secret with other access structures.

Advance sharing of quantum shares for quantum secrets