# Unitary Reconstruction of Secret for Stabilizer Based Quantum Secret Sharing

## TL;DR

This paper introduces a unitary method for reconstructing quantum secrets in stabilizer-based quantum secret sharing schemes, eliminating the need for adding missing shares during reconstruction.

## Contribution

It presents a novel unitary reconstruction procedure that works without adding missing shares, improving efficiency over traditional erasure correction methods.

## Key findings

- The proposed method successfully reconstructs quantum secrets without missing shares.
- It simplifies the reconstruction process in stabilizer quantum secret sharing schemes.
- The approach enhances the practicality of quantum secret sharing implementations.

## Abstract

We propose a unitary procedure to reconstruct quantum secret for a quantum secret sharing scheme constructed from stabilizer quantum error-correcting codes. Erasure correcting procedures for stabilizer codes need to add missing shares for reconstruction of quantum secret while unitary reconstruction procedures for certain class of quantum secret sharing are known to work without adding missing shares. The proposed procedure also works without adding missing shares.