# Advance sharing of quantum shares for quantum secrets

## TL;DR

This paper introduces a novel quantum secret sharing scheme that allows distribution of some shares before the secret is determined, applicable to various access structures beyond the known threshold schemes.

## Contribution

It proposes a new quantum secret sharing scheme enabling pre-distribution of shares for different access structures, expanding beyond previous threshold-based methods.

## Key findings

- Supports distribution of shares before secret is known
- Applicable to various access structures
- Extends previous threshold schemes

## Abstract

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