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

Ryutaroh MATSUMOTO  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E100-A   No.12   pp.2738-2739
Publication Date: 2017/12/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E100.A.2738
Type of Manuscript: Special Section LETTER (Special Section on Information Theory and Its Applications)
Category: Cryptography and Information Security
secret sharing,  access structure,  quantum error correction,  

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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.