# Quantum Stabilizer Codes Can Realize Access Structures Impossible by   Classical Secret Sharing

**Authors:** Ryutaroh Matsumoto

arXiv: 1701.02911 · 2018-02-08

## TL;DR

This paper demonstrates that quantum stabilizer codes enable secret sharing access structures that are impossible to achieve with classical methods, even with share size limitations.

## Contribution

It introduces a simple quantum secret sharing scheme using stabilizer codes that surpasses classical capabilities in access structure realization.

## Key findings

- Quantum stabilizer codes enable novel access structures.
- Classical secret sharing cannot realize these structures under size constraints.
- The scheme is simple and based on well-known quantum codes.

## Abstract

We show a simple example of a secret sharing scheme encoding classical secret to quantum shares that can realize an access structure impossible by classical information processing with limitation on the size of each share. The example is based on quantum stabilizer codes.

## Full text

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## References

14 references — full list in the complete paper: https://tomesphere.com/paper/1701.02911/full.md

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Source: https://tomesphere.com/paper/1701.02911